40115013120

Names of 40115013120

• Cardinal: 40115013120 can be written as Forty billion, one hundred fifteen million, thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.011501312 × 10¹⁰

Factors of 40115013120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 102

Divisors of 40115013120

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 26 28 30 32 35 36 38 39 40 42 45 48 52 53 56 57 60 63 64 65 70 72 76 78 80 84 90 91 95 96 104 105 106 112 114 117 120 126 128 130 133 140 144 152 156 159 160 168 171 180 182 190 192 195 208 210 212 224 228 234 240 247 252 256 260 265 266 273 280 285 288 304 312 315 318 320 336 342 360 361 364 371 380 384 390 399 416 420 424 448 455 456 468 477 480 494 504 512 520 530 532 546 560 570 576 585 608 624 630 636 640 665 672 684 689 720 722 728 741 742 760 768 780 795 798 819 832 840 848 855 896 910 912 936 954 960 988 1007 1008 1040 1060 1064 1083 1092 1113 1120 1140 1152 1170 1197 1216 1235 1248 1260 1272 1280 1330 1344 1365 1368 1378 1440 1444 1456 1482 1484 1520 1536 1560 1590 1596 1638 1664 1680 1696 1710 1729 1792 1805 1820 1824 1855 1872 1908 1920 1976 1995 2014 2016 2067 2080 2120 2128 2166 2184 2223 2226 2240 2280 2304 2340 2385 2394 2432 2470 2496 2520 2527 2544 2560 2660 2688 2730 2736 2756 2880 2888 2912 2964 2968 3021 3040 3120 3180 3192 3249 3276 3328 3339 3360 3392 3420 3445 3458 3584 3610 3640 3648 3705 3710 3744 3816 3840 3952 3990 4028 4032 4095 4134 4160 4240 4256 4332 4368 4446 4452 4480 4560 4608 4680 4693 4770 4788 4823 4864 4940 4992 5035 5040 5054 5088 5187 5320 5376 5415 5460 5472 5512 5565 5760 5776 5824 5928 5936 5985 6042 6080 6201 6240 6360 6384 6498 6552 6656 6678 6720 6784 6840 6890 6916 7049 7220 7280 7296 7410 7420 7488 7581 7632 7680 7904 7980 8056 8064 8190 8268 8320 8480 8512 8645 8664 8736 8892 8904 8960 9063 9120 9360 9386 9540 9576 9646 9728 9880 9984 10070 10080 10108 10176 10335 10374 10640 10752 10830 10920 10944 11024 11115 11130 11520 11552 11648 11856 11872 11970 12084 12160 12402 12480 12635 12720 12768 12996 13091 13104 13356 13440 13568 13680 13780 13832 14079 14098 14440 14469 14560 14592 14820 14840 14976 15105 15162 15264 15561 15808 15960 16112 16128 16245 16380 16536 16640 16695 16960 17024 17290 17328 17472 17784 17808 17920 18126 18240 18720 18772 19080 19133 19152 19292 19760 19968 20140 20160 20216 20352 20670 20748 21147 21280 21660 21840 21888 22048 22230 22260 22743 23040 23104 23296 23465 23712 23744 23940 24115 24168 24320 24804 24960 25270 25440 25536 25935 25992 26182 26208 26712 26880 27136 27360 27560 27664 28158 28196 28880 28938 29120 29184 29640 29680 29952 30210 30324 30528 31005 31122 31616 31920 32224 32256 32490 32760 32851 33072 33280 33390 33920 34048 34580 34656 34944 35245 35568 35616 36252 36480 37440 37544 37905 38160 38266 38304 38584 39273 39520 40280 40320 40432 40704 41340 41496 42237 42294 42560 43320 43407 43680 43776 44096 44460 44520 45315 45486 46208 46592 46930 47424 47488 47880 48230 48336 48640 49608 49920 50540 50880 51072 51870 51984 52364 52416 53424 53760 54720 55120 55328 56316 56392 57399 57760 57876 58240 59280 59360 59904 60420 60648 61056 62010 62244 63232 63441 63840 64448 64980 65455 65520 65702 66144 66780 67840 68096 69160 69312 69888 70395 70490 71136 71232 72345 72504 72960 74880 75088 75810 76320 76532 76608 77168 77805 78546 79040 80560 80640 80864 81408 82680 82992 84474 84588 85120 86640 86814 87360 87552 88192 88920 89040 90630 90972 91637 92416 93860 94848 94976 95665 95760 96460 96672 98553 99216 99840 101080 101760 102144 103740 103968 104728 104832 105735 106848 109440 110240 110656 112632 112784 113715 114798 115520 115752 116480 117819 118560 118720 120840 121296 122112 124020 124488 126464 126882 127680 128896 129960 130910 131040 131404 132288 133560 133931 135680 138320 138624 139776 140790 140980 142272 142464 144690 145008 145920 149760 150176 151620 152640 153064 153216 154336 155610 157092 158080 161120 161280 161728 164255 165360 165984 168948 169176 170240 172197 173280 173628 174720 176384 177840 178080 181260 181944 183274 184832 187720 189696 189952 191330 191520 192920 193344 196365 197106 198432 202160 203520 204288 207480 207936 209456 209664 211185 211470 213696 217035 218880 220480 221312 225264 225568 227430 229596 231040 231504 232960 235638 237120 237440 241680 242592 244224 248040 248729 248976 253764 255360 257792 259920 261820 262080 262808 264576 267120 267862 274911 276640 277248 281580 281960 284544 284928 286995 289380 290016 295659 299520 300352 303240 305280 306128 306432 308672 311220 314184 316160 317205 322240 323456 328510 330720 331968 337896 338352 340480 344394 346560 347256 349440 352768 355680 356160 362520 363888 366548 375440 379392 382660 383040 385840 386688 392730 394212 396864 401793 404320 407040 414960 415872 418912 419328 422370 422940 427392 434070 437760 440960 442624 450528 451136 454860 458185 459192 462080 463008 471276 474240 474880 483360 485184 492765 496080 497458 497952 507528 510720 515584 519840 523640 524160 525616 529152 534240 535724 549822 553280 554496 563160 563920 569088 569856 573990 578760 580032 589095 591318 600704 606480 610560 612256 612864 617344 622440 628368 632320 634410 644480 646912 657020 661440 663936 669655 675792 676704 688788 693120 694512 698880 711360 712320 725040 727776 733096 746187 750880 765320 766080 771680 773376 785460 788424 793728 803586 808640 824733 829920 831744 837824 844740 845880 854784 860985 868140 881920 885248 901056 902272 909720 916370 918384 924160 926016 942552 948480 949760 966720 970368 985530 992160 994916 995904 1015056 1021440 1039680 1047280 1048320 1051232 1058304 1068480 1071448 1099644 1106560 1126320 1127840 1138176 1147980 1157520 1160064 1178190 1182636 1201408 1205379 1212960 1221120 1224512 1234688 1243645 1244880 1256736 1268820 1288960 1293824 1314040 1322880 1327872 1339310 1351584 1353408 1374555 1377576 1386240 1389024 1422720 1424640 1450080 1455552 1466192 1478295 1492374 1501760 1530640 1532160 1543360 1546752 1570920 1576848 1587456 1607172 1617280 1649466 1659840 1663488 1675648 1689480 1691760 1709568 1721970 1736280 1741103 1763840 1802112 1804544 1819440 1832740 1836768 1852032 1885104 1896960 1933440 1940736 1971060 1984320 1989832 1991808 2008965 2030112 2079360 2094560 2096640 2102464 2136960 2142896 2199288 2213120 2238561 2252640 2255680 2295960 2315040 2320128 2356380 2365272 2402816 2410758 2425920 2449024 2469376 2487290 2489760 2513472 2537640 2577920 2628080 2645760 2655744 2678620 2703168 2706816 2749110 2755152 2772480 2778048 2845440 2849280 2900160 2911104 2932384 2956590 2984748 3003520 3061280 3064320 3086720 3141840 3153696 3174912 3214344 3234560 3298932 3319680 3351296 3378960 3383520 3443940 3472560 3482206 3604224 3609088 3638880 3665480 3673536 3704064 3730935 3770208 3866880 3881472 3942120 3968640 3979664 3983616 4017930 4060224 4123665 4158720 4189120 4204928 4273920 4285792 4398576 4426240 4477122 4505280 4511360 4591920 4630080 4640256 4712760 4730544 4821516 4851840 4898048 4974580 4979520 5026944 5075280 5223309 5256160 5291520 5357240 5406336 5413632 5498220 5510304 5556096 5690880 5800320 5822208 5864768 5913180 5969496 6007040 6026895 6122560 6173440 6283680 6307392 6428688 6469120 6597864 6639360 6702592 6757920 6767040 6887880 6945120 6964412 7208448 7277760 7330960 7347072 7408128 7461870 7540416 7733760 7884240 7937280 7959328 7967232 8035860 8120448 8247330 8317440 8378240 8409856 8547840 8571584 8705515 8797152 8954244 9010560 9022720 9183840 9260160 9425520 9461088 9643032 9703680 9796096 9949160 9959040 10053888 10150560 10446618 10512320 10714480 10812672 10827264 10996440 11020608 11112192 11192805 11600640 11644416 11729536 11826360 11938992 12014080 12053790 12245120 12346880 12567360 12614784 12857376 13195728 13278720 13515840 13534080 13775760 13890240 13928824 14555520 14661920 14694144 14923740 15080832 15669927 15768480 15874560 15918656 16071720 16240896 16494660 16756480 16819712 17143168 17411030 17594304 17908488 18021120 18045440 18367680 18520320 18851040 18922176 19286064 19407360 19898320 19918080 20107776 20301120 20893236 21024640 21428960 21625344 21992880 22041216 22224384 22385610 23201280 23459072 23652720 23877984 24107580 24490240 25134720 25229568 25714752 26116545 26391456 27031680 27068160 27551520 27780480 27857648 29111040 29323840 29388288 29847480 30161664 31339854 31536960 31837312 32143440 32481792 32989320 33512960 34286336 34822060 35188608 35816976 36042240 36735360 37040640 37702080 37844352 38572128 39796640 39836160 40602240 41786472 42049280 42857920 43985760 44082432 44771220 46918144 47305440 47755968 48215160 48980480 50269440 50459136 51429504 52233090 52782912 54063360 54136320 55103040 55560960 55715296 58222080 58647680 59694960 60323328 62679708 63073920 63674624 64286880 65978640 68572672 69644120 70377216 71633952 73470720 75404160 75688704 77144256 78349635 79593280 81204480 83572944 84098560 85715840 87971520 88164864 89542440 94610880 95511936 96430320 100538880 102859008 104466180 105565824 108126720 110206080 111121920 111430592 117295360 119389920 125359416 126147840 127349248 128573760 131957280 139288240 140754432 143267904 146941440 150808320 151377408 154288512 156699270 159186560 162408960 167145888 171431680 175943040 179084880 189221760 191023872 192860640 205718016 208932360 211131648 220412160 222861184 234590720 238779840 250718832 252295680 257147520 263914560 278576480 286535808 301616640 308577024 313398540 318373120 334291776 342863360 351886080 358169760 378443520 382047744 385721280 417864720 422263296 440824320 445722368 477559680 501437664 514295040 527829120 557152960 573071616 617154048 626797080 636746240 668583552 703772160 716339520 756887040 771442560 835729440 891444736 955119360 1002875328 1028590080 1055658240 1114305920 1146143232 1253594160 1337167104 1432679040 1542885120 1671458880 1910238720 2005750656 2111316480 2228611840 2507188320 2674334208 2865358080 3085770240 3342917760 4011501312 4457223680 5014376640 5730716160 6685835520 8023002624 10028753280 13371671040 20057506560 40115013120
• Sum of all divisors σ(n): 183868356672
• Sum of proper divisors (its aliquot sum) s(n): 143753343552
• 40115013120 is an abundant number, because the sum of its proper divisors (143753343552) is greater than itself. Its abundance is 103638330432

Bases of 40115013120

• Binary: 100101010111000010101000011000000000₂
• Hexadecimal: 0x9570A8600
• Base-36: IFFFY80

Squares and roots of 40115013120

• 40115013120 squared (40115013120²) is 1609214277617772134400
• 40115013120 cubed (40115013120³) is 64553651859528251516626403328000
• The square root of 40115013120 is 200287.3264088371
• The cube root of 40115013120 is 3423.2265845647

Scales and comparisons

• 40,115,013,120 seconds is equal to 1,275 years, 27 weeks, 5 days, 3 hours, 12 minutes.
• To count from 1 to 40,115,013,120 would take you about two thousand, five hundred fifty-one 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 40115013120 cubic inches would be around 285.3 feet tall.

Recreational maths with 40115013120

• 40115013120 backwards is 02131051104
• 40115013120 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40115013120's digits is 18
• More coming soon!