1638400135680

Names of 1638400135680

• Cardinal: 1638400135680 can be written as One trillion, six hundred thirty-eight billion, four hundred million, one hundred thirty-five thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.63840013568 × 10¹²

Factors of 1638400135680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 59

Divisors of 1638400135680

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 31 32 33 35 36 40 42 44 45 48 55 56 60 62 63 64 66 70 72 77 80 84 88 90 93 96 99 105 110 112 120 124 126 128 132 140 144 154 155 160 165 168 176 180 186 192 198 210 217 220 224 231 240 248 252 256 264 279 280 288 308 310 315 320 330 336 341 352 360 372 384 385 396 420 434 440 448 462 465 480 495 496 504 512 528 558 560 576 616 620 630 640 651 660 672 682 693 704 720 744 768 770 792 840 868 880 896 924 930 960 961 990 992 1008 1023 1056 1085 1116 1120 1152 1155 1232 1240 1260 1280 1302 1320 1344 1364 1386 1395 1408 1440 1488 1536 1540 1584 1680 1705 1736 1760 1792 1848 1860 1920 1922 1953 1980 1984 2016 2046 2112 2170 2232 2240 2304 2310 2387 2464 2480 2520 2560 2604 2640 2688 2728 2772 2790 2816 2880 2883 2976 3069 3080 3168 3255 3360 3410 3465 3472 3520 3584 3696 3720 3840 3844 3906 3960 3968 4032 4092 4224 4340 4464 4480 4608 4620 4774 4805 4928 4960 5040 5115 5208 5280 5376 5456 5544 5580 5632 5760 5766 5952 6138 6160 6336 6510 6720 6727 6820 6930 6944 7040 7161 7392 7440 7680 7688 7812 7920 7936 8064 8184 8448 8649 8680 8928 8960 9240 9548 9610 9765 9856 9920 10080 10230 10416 10560 10571 10752 10912 11088 11160 11520 11532 11904 11935 12276 12320 12672 13020 13440 13454 13640 13860 13888 14080 14322 14415 14784 14880 15345 15376 15624 15840 15872 16128 16368 16896 17298 17360 17856 17920 18480 19096 19220 19530 19712 19840 20160 20181 20460 20832 21120 21142 21483 21824 22176 22320 23040 23064 23808 23870 24552 24640 25344 26040 26880 26908 27280 27720 27776 28160 28644 28830 29568 29760 29791 30690 30752 31248 31680 31713 32256 32736 33635 34596 34720 35712 35805 36960 38192 38440 39060 39424 39680 40320 40362 40920 41664 42240 42284 42966 43245 43648 44352 44640 46128 47616 47740 49104 49280 50688 52080 52855 53760 53816 54560 55440 55552 57288 57660 59136 59520 59582 60543 61380 61504 62496 63360 63426 65472 67270 69192 69440 71424 71610 73920 73997 76384 76880 78120 79360 80640 80724 81840 83328 84480 84568 85932 86490 87296 88704 89280 89373 92256 95139 95480 98208 98560 100905 104160 105710 107415 107632 109120 110880 111104 114576 115320 118272 119040 119164 121086 122760 123008 124992 126720 126852 130944 134540 138384 138880 142848 143220 147840 147994 148955 152768 153760 156240 158565 161280 161448 163680 166656 169136 171864 172980 174592 177408 178560 178746 184512 190278 190960 196416 197120 201810 208320 208537 211420 214830 215264 218240 221760 221991 229152 230640 238080 238328 242172 245520 246016 249984 253440 253704 261888 268119 269080 276768 277760 286440 295680 295988 297910 302715 305536 307520 312480 317130 322896 327360 327701 333312 338272 343728 345960 354816 357120 357492 369024 369985 380556 381920 392832 403620 416640 417074 422840 429660 430528 436480 443520 443982 446865 458304 461280 475695 476656 484344 491040 492032 499968 507408 523776 536238 538160 553536 555520 572880 591360 591976 595820 605430 611072 615040 624960 625611 634260 645792 654720 655402 665973 676544 687456 691920 714240 714984 738048 739970 761112 763840 785664 807240 833280 834148 845680 859320 861056 872960 887040 887964 893730 916608 922560 923521 951390 953312 968688 982080 983103 999936 1014816 1042685 1072476 1076320 1107072 1109955 1145760 1183952 1191640 1210860 1222144 1230080 1249920 1251222 1268520 1291584 1309440 1310804 1331946 1340595 1353088 1374912 1383840 1429968 1476096 1479940 1522224 1527680 1571328 1614480 1638505 1666560 1668296 1691360 1718640 1722112 1774080 1775928 1787460 1833216 1845120 1847042 1876833 1902780 1906624 1937376 1964160 1966206 2029632 2085370 2144952 2152640 2214144 2219910 2291520 2293907 2367904 2383280 2421720 2460160 2499840 2502444 2537040 2583168 2618880 2621608 2663892 2681190 2706176 2749824 2767680 2770563 2859936 2949309 2959880 3044448 3055360 3128055 3228960 3277010 3329865 3336592 3382720 3437280 3444224 3551856 3574920 3666432 3690240 3694084 3753666 3805560 3813248 3874752 3928320 3932412 4059264 4170740 4289904 4305280 4428288 4439820 4583040 4587814 4617605 4735808 4766560 4843440 4915515 4999680 5004888 5074080 5166336 5243216 5327784 5362380 5412352 5499648 5535360 5541126 5719872 5898618 5919760 6088896 6110720 6256110 6457920 6464647 6554020 6659730 6673184 6765440 6874560 6881721 7103712 7149840 7380480 7388168 7507332 7611120 7626496 7749504 7856640 7864824 8118528 8311689 8341480 8579808 8610560 8879640 9166080 9175628 9235210 9384165 9471616 9533120 9686880 9831030 10009776 10148160 10158731 10332672 10486432 10655568 10724760 10999296 11070720 11082252 11439744 11469535 11797236 11839520 12177792 12512220 12915840 12929294 13108040 13319460 13346368 13530880 13749120 13763442 13852815 14207424 14299680 14746545 14776336 15014664 15222240 15252992 15499008 15729648 16237056 16623378 16682960 17159616 17221120 17759280 18332160 18351256 18470420 18768330 18943232 19066240 19373760 19393941 19662060 20019552 20296320 20317462 20645163 20972864 21311136 21449520 22141440 22164504 22879488 22939070 23594472 23679040 24355584 25024440 25831680 25858588 26216080 26638920 26692736 27061760 27498240 27526884 27705630 28414848 28599360 29493090 29552672 30029328 30444480 30476193 30998016 31459296 32323235 33246756 33365920 34319232 34408605 35518560 36702512 36940840 37536660 37886464 38132480 38747520 38787882 39324120 40039104 40592640 40634924 41290326 41558445 41945728 42622272 42899040 44329008 45758976 45878140 47188944 47358080 48711168 50048880 50793655 51663360 51717176 52432160 53277840 53385472 54996480 55053768 55411260 56829696 57198720 58181823 58986180 59105344 60058656 60888960 60952386 62918592 64646470 66493512 66731840 68638464 68817210 71037120 71111117 73405024 73881680 75073320 76264960 77495040 77575764 78648240 80078208 81185280 81269848 82580652 83116890 83891456 85244544 85798080 88658016 91428579 91756280 94377888 94716160 96969705 100097760 101587310 103225815 103434352 104864320 106555680 106770944 110107536 110822520 113659392 114397440 116363646 117972360 118210688 120117312 121777920 121904772 125837184 129292940 132987024 133463680 137276928 137634420 142074240 142222234 146810048 147763360 150146640 152380965 154990080 155151528 157296480 160156416 162539696 165161304 166233780 167782912 170489088 171596160 177316032 182857158 183512560 188755776 189432320 193939410 200195520 203174620 206451630 206868704 209728640 213111360 213333351 220215072 221645040 228794880 232727292 235944720 236421376 240234624 243555840 243809544 251674368 258585880 265974048 266927360 275268840 284148480 284444468 290909115 293620096 295526720 300293280 304761930 310303056 314592960 320312832 325079392 330322608 332467560 340978176 343192320 354632064 355555585 365714316 367025120 377511552 387878820 400391040 406349240 412903260 413737408 419457280 426222720 426666702 440430144 443290080 457142895 465454584 471889440 472842752 480469248 487619088 503348736 517171760 531948096 533854720 550537680 568296960 568888936 581818230 587240192 591053440 600586560 609523860 620606112 629185920 640000053 650158784 660645216 664935120 686384640 709264128 711111170 731428632 734050240 755023104 775757640 800782080 812698480 825806520 827474816 838914560 852445440 853333404 880860288 886580160 914285790 930909168 943778880 960938496 975238176 1034343520 1063896192 1066666755 1101075360 1137777872 1163636460 1174480384 1182106880 1201173120 1219047720 1241212224 1258371840 1280000106 1300317568 1321290432 1329870240 1418528256 1422222340 1462857264 1468100480 1510046208 1551515280 1601564160 1625396960 1651613040 1654949632 1704890880 1706666808 1761720576 1773160320 1828571580 1861818336 1887557760 1950476352 2068687040 2127792384 2133333510 2202150720 2275555744 2327272920 2364213760 2402346240 2438095440 2482424448 2516743680 2560000212 2600635136 2642580864 2659740480 2844444680 2925714528 2936200960 3103030560 3200000265 3250793920 3303226080 3309899264 3413333616 3523441152 3546320640 3657143160 3723636672 3775115520 3900952704 4137374080 4255584768 4266667020 4404301440 4551111488 4654545840 4804692480 4876190880 4964848896 5120000424 5201270272 5285161728 5319480960 5688889360 5851429056 5872401920 6206061120 6400000530 6501587840 6606452160 6826667232 7092641280 7314286320 7447273344 7550231040 7801905408 8274748160 8533334040 8808602880 9102222976 9309091680 9752381760 9929697792 10240000848 10570323456 10638961920 11377778720 11702858112 12412122240 12800001060 13003175680 13212904320 13653334464 14628572640 14894546688 15603810816 16549496320 17066668080 17617205760 18204445952 18618183360 19504763520 20480001696 21277923840 22755557440 23405716224 24824244480 25600002120 26006351360 26425808640 27306668928 29257145280 29789093376 34133336160 36408891904 37236366720 39009527040 40960003392 45511114880 46811432448 49648488960 51200004240 52851617280 54613337856 58514290560 68266672320 74472733440 78019054080 81920006784 91022229760 102400008480 109226675712 117028581120 136533344640 148945466880 163840013568 182044459520 204800016960 234057162240 273066689280 327680027136 409600033920 546133378560 819200067840 1638400135680
• Sum of all divisors σ(n): 7310190064320
• Sum of proper divisors (its aliquot sum) s(n): 5671789928640
• 1638400135680 is an abundant number, because the sum of its proper divisors (5671789928640) is greater than itself. Its abundance is 4033389792960

Bases of 1638400135680

• Binary: 10111110101111000010000100001001000000000₂
• Hexadecimal: 0x17D78421200
• Base-36: KWO54ZK0

Squares and roots of 1638400135680

• 1638400135680 squared (1638400135680²) is 2684355004596242409062400
• 1638400135680 cubed (1638400135680³) is 4398047603743770586626006221586432000
• The square root of 1638400135680 is 1280000.0529999989
• The cube root of 1638400135680 is 11788.9011210723

Scales and comparisons

• 1,638,400,135,680 seconds is equal to 52,096 years, 2 weeks, 6 days, 12 hours, 48 minutes.
• To count from 1 to 1,638,400,135,680 would take you about one hundred thirty thousand, two hundred forty 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 1638400135680 cubic inches would be around 982.4 feet tall.

Recreational maths with 1638400135680

• 1638400135680 backwards is 0865310048361
• 1638400135680 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1638400135680's digits is 45
• More coming soon!