135657984000

Names of 135657984000

• Cardinal: 135657984000 can be written as One hundred thirty-five billion, six hundred fifty-seven million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 1.35657984 × 10¹¹

Factors of 135657984000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 96

Divisors of 135657984000

• Number of divisors d(n): 1664
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 31 32 33 35 37 40 42 44 48 50 55 56 60 62 64 66 70 74 75 77 80 84 88 93 96 100 105 110 111 112 120 124 125 128 132 140 148 150 154 155 160 165 168 175 176 185 186 192 200 210 217 220 222 224 231 240 248 250 256 259 264 275 280 296 300 308 310 320 330 336 341 350 352 370 372 375 384 385 400 407 420 434 440 444 448 462 465 480 496 500 512 518 525 528 550 555 560 592 600 616 620 640 651 660 672 682 700 704 740 744 750 768 770 775 777 800 814 825 840 868 875 880 888 896 924 925 930 960 992 1000 1023 1024 1036 1050 1056 1085 1100 1110 1120 1147 1155 1184 1200 1221 1232 1240 1280 1295 1302 1320 1344 1364 1375 1400 1408 1480 1488 1500 1536 1540 1550 1554 1600 1628 1650 1680 1705 1736 1750 1760 1776 1792 1848 1850 1860 1920 1925 1984 2000 2035 2046 2048 2072 2100 2112 2170 2200 2220 2240 2294 2310 2325 2368 2387 2400 2442 2464 2480 2560 2590 2604 2625 2640 2688 2728 2750 2775 2800 2816 2849 2960 2976 3000 3072 3080 3100 3108 3200 3255 3256 3300 3360 3410 3441 3472 3500 3520 3552 3584 3696 3700 3720 3840 3850 3875 3885 3968 4000 4070 4092 4096 4125 4144 4200 4224 4340 4400 4440 4480 4588 4620 4625 4650 4736 4774 4800 4884 4928 4960 5115 5120 5180 5208 5250 5280 5376 5425 5456 5500 5550 5600 5632 5698 5735 5775 5920 5952 6000 6105 6144 6160 6200 6216 6400 6475 6510 6512 6600 6720 6820 6882 6944 7000 7040 7104 7161 7168 7392 7400 7440 7680 7700 7750 7770 7936 8000 8029 8140 8184 8250 8288 8400 8448 8525 8547 8680 8800 8880 8960 9176 9240 9250 9300 9472 9548 9600 9625 9768 9856 9920 10175 10230 10240 10360 10416 10500 10560 10752 10850 10912 11000 11100 11200 11264 11396 11470 11550 11625 11840 11904 11935 12000 12210 12288 12320 12400 12432 12617 12800 12950 13020 13024 13200 13440 13640 13764 13875 13888 14000 14080 14208 14245 14322 14336 14784 14800 14880 15360 15400 15500 15540 15872 16000 16058 16275 16280 16368 16500 16576 16800 16896 17050 17094 17205 17360 17600 17760 17920 18352 18480 18500 18600 18944 19096 19200 19250 19425 19536 19712 19840 20350 20460 20480 20720 20832 21000 21120 21504 21700 21824 22000 22200 22400 22528 22792 22940 23100 23250 23680 23808 23870 24000 24087 24420 24640 24800 24864 25234 25575 25600 25900 26040 26048 26400 26880 27125 27280 27528 27750 27776 28000 28160 28416 28490 28644 28672 28675 28875 29568 29600 29760 30525 30720 30800 31000 31080 31744 32000 32116 32375 32550 32560 32736 33000 33152 33600 33792 34100 34188 34410 34720 35200 35520 35805 35840 36704 36960 37000 37200 37851 37888 38192 38400 38500 38850 39072 39424 39680 40145 40700 40920 41440 41664 42000 42240 42625 42735 43008 43400 43648 44000 44400 44800 45056 45584 45880 46200 46500 47360 47616 47740 48000 48174 48840 49280 49600 49728 50468 50875 51150 51200 51800 52080 52096 52800 53760 54250 54560 55056 55500 55552 56000 56320 56832 56980 57288 57350 57750 59136 59200 59520 59675 61050 61440 61600 62000 62160 63085 63488 64000 64232 64750 65100 65120 65472 66000 66304 67200 67584 68200 68376 68820 69440 70400 71040 71225 71610 71680 73408 73920 74000 74400 75702 75776 76384 76800 77000 77700 78144 78848 79360 80290 81375 81400 81840 82880 83328 84000 84480 85250 85470 86016 86025 86800 87296 88000 88319 88800 89600 91168 91760 92400 93000 94720 95232 95480 96000 96348 97125 97680 98560 99200 99456 100936 101750 102300 102400 103600 104160 104192 105600 107520 108500 109120 110112 111000 111104 112000 112640 113664 113960 114576 114700 115500 118272 118400 119040 119350 120435 122100 123200 124000 124320 126170 126976 127875 128000 128464 129500 130200 130240 130944 132000 132608 134400 135168 136400 136752 137640 138880 140800 142080 142450 143220 143360 143375 146816 147840 148000 148800 151404 151552 152625 152768 153600 154000 155400 156288 157696 158720 160580 162750 162800 163680 165760 166656 168000 168960 170500 170940 172050 173600 174592 176000 176638 177600 179025 179200 182336 183520 184800 186000 189255 189440 190464 190960 192000 192696 194250 195360 197120 198400 198912 200725 201872 203500 204600 207200 208320 208384 211200 213675 215040 217000 218240 220224 222000 222208 224000 225280 227328 227920 229152 229400 231000 236544 236800 238080 238700 240870 244200 246400 248000 248640 252340 255750 256000 256928 259000 260400 260480 261888 264000 264957 265216 268800 272800 273504 275280 277760 281600 284160 284900 286440 286750 293632 295680 296000 297600 298375 302808 305250 305536 307200 308000 310800 312576 315392 315425 317440 321160 325500 325600 327360 331520 333312 336000 337920 341000 341880 344100 347200 349184 352000 353276 355200 356125 358050 358400 364672 367040 369600 372000 378510 378880 380928 381920 384000 385392 388500 390720 394240 396800 397824 401450 403744 407000 409200 414400 416640 416768 422400 427350 430080 430125 434000 436480 440448 441595 444000 444416 448000 454656 455840 458304 458800 462000 473088 473600 476160 477400 481740 488400 492800 496000 497280 504680 511500 512000 513856 518000 520800 520960 523776 528000 529914 530432 537600 545600 547008 550560 555520 563200 568320 569800 572880 573500 587264 591360 592000 595200 596750 602175 605616 610500 611072 616000 621600 625152 630850 634880 642320 651000 651200 654720 663040 666624 672000 675840 682000 683760 688200 694400 698368 704000 706552 710400 712250 716100 716800 729344 734080 739200 744000 757020 757760 763840 768000 770784 777000 781440 788480 793600 795648 802900 807488 814000 818400 828800 833280 833536 844800 854700 860250 868000 872960 880896 883190 888000 888832 895125 896000 911680 916608 917600 924000 946176 946275 947200 952320 954800 963480 976800 985600 992000 994560 1003625 1009360 1023000 1027712 1036000 1041600 1041920 1047552 1056000 1059828 1060864 1068375 1075200 1091200 1094016 1101120 1111040 1126400 1136640 1139600 1145760 1147000 1174528 1182720 1184000 1190400 1193500 1204350 1211232 1221000 1222144 1232000 1243200 1250304 1261700 1284640 1302000 1302400 1309440 1324785 1326080 1333248 1344000 1364000 1367520 1376400 1388800 1396736 1408000 1413104 1420800 1424500 1432200 1458688 1468160 1478400 1488000 1514040 1527680 1536000 1541568 1554000 1562880 1576960 1577125 1587200 1591296 1605800 1614976 1628000 1636800 1657600 1666560 1667072 1689600 1709400 1720500 1736000 1745920 1761792 1766380 1776000 1790250 1792000 1823360 1833216 1835200 1848000 1892550 1894400 1904640 1909600 1926960 1953600 1971200 1984000 1989120 2007250 2018720 2046000 2055424 2072000 2083200 2083840 2095104 2112000 2119656 2136750 2150400 2182400 2188032 2202240 2207975 2222080 2273280 2279200 2291520 2294000 2349056 2365440 2368000 2380800 2387000 2408700 2422464 2442000 2444288 2464000 2486400 2500608 2523400 2569280 2604000 2604800 2618880 2649570 2652160 2666496 2688000 2728000 2735040 2752800 2777600 2816000 2826208 2841600 2849000 2864400 2917376 2936320 2956800 2976000 3010875 3028080 3055360 3083136 3108000 3125760 3154250 3174400 3182592 3211600 3229952 3256000 3273600 3315200 3333120 3379200 3418800 3441000 3472000 3491840 3523584 3532760 3552000 3580500 3584000 3646720 3666432 3670400 3696000 3785100 3788800 3819200 3853920 3907200 3942400 3968000 3978240 4014500 4037440 4092000 4110848 4144000 4166400 4167680 4190208 4224000 4239312 4273500 4364800 4376064 4404480 4415950 4444160 4558400 4583040 4588000 4698112 4730880 4731375 4736000 4761600 4774000 4817400 4844928 4884000 4888576 4928000 4972800 5001216 5046800 5138560 5208000 5209600 5237760 5299140 5304320 5376000 5456000 5470080 5505600 5555200 5632000 5652416 5683200 5698000 5728800 5834752 5872640 5913600 5952000 6021750 6056160 6110720 6166272 6216000 6251520 6308500 6423200 6459904 6512000 6547200 6623925 6630400 6666240 6837600 6882000 6944000 6983680 7047168 7065520 7104000 7161000 7293440 7332864 7340800 7392000 7570200 7638400 7707840 7814400 7884800 7936000 7956480 8029000 8074880 8184000 8221696 8288000 8332800 8335360 8448000 8478624 8547000 8729600 8752128 8808960 8831900 9116800 9166080 9176000 9462750 9472000 9523200 9548000 9634800 9689856 9768000 9777152 9856000 9945600 10093600 10277120 10416000 10419200 10475520 10598280 10752000 10912000 10940160 11011200 11039875 11110400 11304832 11366400 11396000 11457600 11669504 11745280 11827200 11904000 12043500 12112320 12221440 12332544 12432000 12503040 12617000 12846400 12919808 13024000 13094400 13247850 13260800 13332480 13675200 13764000 13888000 14094336 14131040 14208000 14322000 14586880 14665728 14681600 14784000 15140400 15276800 15415680 15628800 15872000 15912960 16058000 16149760 16368000 16443392 16576000 16665600 16896000 16957248 17094000 17459200 17504256 17617920 17663800 18233600 18332160 18352000 18925500 18944000 19096000 19269600 19379712 19536000 19712000 19891200 20187200 20554240 20832000 20838400 20951040 21196560 21824000 21880320 22022400 22079750 22220800 22609664 22792000 22915200 23490560 23654400 23808000 24087000 24224640 24442880 24665088 24864000 25006080 25234000 25692800 25839616 26048000 26188800 26495700 26521600 27350400 27528000 27776000 28262080 28416000 28644000 29173760 29331456 29363200 29568000 30280800 30553600 30831360 31257600 32116000 32299520 32736000 32886784 33119625 33152000 33331200 33914496 34188000 34918400 35008512 35235840 35327600 36467200 36664320 36704000 37851000 38192000 38539200 38759424 39072000 39424000 39782400 40374400 41108480 41664000 41676800 42393120 43648000 43760640 44044800 44159500 45219328 45584000 45830400 47616000 48174000 48449280 48885760 49330176 49728000 50468000 51385600 51679232 52096000 52377600 52991400 54700800 55056000 55552000 56524160 56832000 57288000 58347520 58726400 59136000 60561600 61107200 61662720 62515200 64232000 64599040 65472000 66239250 66304000 66662400 67828992 68376000 70471680 70655200 72934400 73328640 73408000 75702000 76384000 77078400 77518848 78144000 79564800 80748800 82216960 83328000 84786240 87296000 87521280 88089600 88319000 90438656 91168000 91660800 96348000 96898560 98660352 99456000 100936000 102771200 104192000 104755200 105982800 109401600 110112000 111104000 113048320 114576000 117452800 118272000 121123200 122214400 123325440 125030400 128464000 129198080 130944000 132478500 132608000 135657984 136752000 141310400 145868800 146657280 146816000 151404000 152768000 154156800 155037696 156288000 161497600 164433920 166656000 169572480 174592000 175042560 176179200 176638000 180877312 182336000 183321600 192696000 193797120 198912000 201872000 205542400 208384000 211965600 218803200 220224000 226096640 229152000 242246400 244428800 246650880 256928000 258396160 261888000 264957000 271315968 273504000 282620800 291737600 293632000 302808000 305536000 308313600 312576000 322995200 333312000 339144960 352358400 353276000 361754624 364672000 366643200 385392000 387594240 397824000 403744000 411084800 423931200 437606400 440448000 452193280 458304000 484492800 493301760 513856000 523776000 529914000 542631936 547008000 565241600 587264000 605616000 611072000 616627200 625152000 645990400 678289920 706552000 729344000 733286400 770784000 775188480 807488000 822169600 847862400 875212800 880896000 904386560 916608000 968985600 1027712000 1059828000 1085263872 1094016000 1130483200 1211232000 1222144000 1233254400 1291980800 1356579840 1413104000 1458688000 1541568000 1614976000 1695724800 1761792000 1808773120 1833216000 1937971200 2055424000 2119656000 2188032000 2260966400 2422464000 2466508800 2713159680 2826208000 3083136000 3229952000 3391449600 3666432000 3875942400 4110848000 4239312000 4376064000 4521932800 4844928000 5426319360 5652416000 6166272000 6459904000 6782899200 8478624000 9043865600 9689856000 11304832000 12332544000 13565798400 16957248000 19379712000 22609664000 27131596800 33914496000 45219328000 67828992000 135657984000
• Sum of all divisors σ(n): 596659175424
• Sum of proper divisors (its aliquot sum) s(n): 461001191424
• 135657984000 is an abundant number, because the sum of its proper divisors (461001191424) is greater than itself. Its abundance is 325343207424

Bases of 135657984000

• Binary: 1111110010101110110001001000000000000₂
• Hexadecimal: 0x1F95D89000
• Base-36: 1QBJ9EDC

Squares and roots of 135657984000

• 135657984000 squared (135657984000²) is 18403088622944256000000
• 135657984000 cubed (135657984000³) is 2496525901961953913339904000000000
• The square root of 135657984000 is 368317.7758403741
• The cube root of 135657984000 is 5138.2486829287

Scales and comparisons

• 135,657,984,000 seconds is equal to 4,313 years, 26 weeks, 1 day, 13 hours, 20 minutes.
• To count from 1 to 135,657,984,000 would take you about eight thousand, six hundred twenty-seven years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 135657984000 cubic inches would be around 428.2 feet tall.

Recreational maths with 135657984000

• 135657984000 backwards is 000489756531
• 135657984000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135657984000's digits is 48
• More coming soon!