3972968153000

Names of 3972968153000

• Cardinal: 3972968153000 can be written as Three trillion, nine hundred seventy-two billion, nine hundred sixty-eight million, one hundred fifty-three thousand.

Scientific notation

• Scientific notation: 3.972968153 × 10¹²

Factors of 3972968153000

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5245

Divisors of 3972968153000

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 17 19 20 22 25 28 31 34 35 38 40 44 50 55 56 62 68 70 76 77 85 88 95 100 110 119 124 125 133 136 140 152 154 155 170 175 187 190 200 209 217 220 238 248 250 266 275 280 308 310 323 340 341 350 374 380 385 418 425 434 440 475 476 500 527 532 550 589 595 616 620 646 665 680 682 700 748 760 770 775 836 850 868 875 935 950 952 1000 1045 1054 1064 1085 1100 1178 1190 1240 1292 1309 1330 1364 1375 1400 1463 1496 1540 1550 1615 1672 1700 1705 1736 1750 1870 1900 1925 2090 2108 2125 2170 2200 2261 2356 2375 2380 2387 2584 2618 2635 2660 2728 2750 2926 2945 2975 3080 3100 3230 3325 3400 3410 3500 3553 3689 3740 3800 3850 3875 4123 4180 4216 4250 4340 4522 4675 4712 4750 4760 4774 5153 5225 5236 5270 5320 5425 5500 5797 5852 5890 5950 6200 6460 6479 6545 6650 6820 7000 7106 7315 7378 7480 7700 7750 8075 8246 8360 8500 8525 8680 9044 9350 9500 9548 9625 10013 10306 10450 10472 10540 10850 11000 11305 11594 11704 11780 11900 11935 12920 12958 13090 13175 13300 13640 14212 14630 14725 14756 14875 15400 15500 16150 16492 16625 17000 17050 17765 18088 18445 18700 19000 19096 19250 20026 20612 20615 20900 21080 21700 22610 23188 23375 23560 23800 23870 24871 25765 25916 26125 26180 26350 26600 27125 28424 28985 29260 29450 29512 29750 31000 32300 32395 32725 32984 33250 34100 35530 36071 36575 36890 37400 38500 40052 40375 40579 41224 41230 41800 42625 43400 45220 45353 46376 46750 47740 49742 50065 51530 51832 52250 52360 52700 54250 56525 56683 57970 58520 58900 59500 59675 64600 64790 65450 65875 66500 68200 70091 71060 72142 73150 73625 73780 77000 80104 80750 81158 82460 85250 87601 88825 90440 90706 92225 93500 95480 97907 99484 100130 103060 103075 104500 105400 108500 110143 113050 113366 115940 117800 119000 119350 124355 128825 129580 130900 131750 133000 140182 142120 144284 144925 146300 147250 147560 159743 161500 161975 162316 163625 164920 170500 175202 177650 180355 181412 182875 184450 187000 195814 198968 200260 202895 206120 206150 209000 217000 220286 226100 226732 226765 231880 238700 248710 250325 257650 259160 261800 263500 280364 282625 283415 288568 289850 292600 294500 298375 319486 323000 323950 324632 327250 341000 350404 350455 355300 360710 362824 365750 368900 391628 396781 400520 405790 412300 438005 440572 444125 452200 453464 453530 461125 477400 489535 497420 500650 515300 515375 527000 550715 560728 565250 566830 579700 589000 596750 613207 621775 638972 644125 647900 654500 685349 700808 700910 710600 721420 724625 731500 737800 771001 783256 793562 798715 809875 811580 824600 876010 881144 888250 901775 907060 922250 963611 979070 994840 1001300 1014475 1030600 1030750 1076977 1101430 1118201 1130500 1133660 1133825 1159400 1193500 1226414 1243550 1251625 1277944 1288250 1295800 1309000 1370698 1401820 1417075 1442840 1449250 1463000 1542002 1587124 1597430 1619750 1623160 1664419 1752020 1752275 1757173 1776500 1803550 1814120 1844500 1927222 1958140 1983905 2002600 2028950 2061500 2153954 2190025 2202860 2236402 2261000 2267320 2267650 2387000 2447675 2452828 2487100 2503250 2576500 2715631 2741396 2753575 2803640 2834150 2898500 3035117 3066035 3084004 3108875 3174248 3194860 3239500 3328838 3426745 3504040 3504550 3514346 3553000 3607100 3689000 3854444 3855005 3916280 3967810 3993575 4057900 4123000 4307908 4380050 4405720 4472804 4508875 4535300 4818055 4895350 4905656 4974200 5006500 5072375 5153000 5384885 5431262 5482792 5507150 5591005 5668300 5669125 5797000 6070234 6132070 6168008 6217750 6389720 6479000 6657676 6745277 6853490 7009100 7028692 7085375 7214200 7538839 7708888 7710010 7935620 7987150 8115800 8322095 8615816 8760100 8761375 8785865 8945608 9017750 9070600 9636110 9790700 9919525 10013000 10144750 10769770 10862524 10950125 11014300 11182010 11336600 11338250 11650933 12140468 12238375 12264140 12300211 12435500 13315352 13490554 13578155 13706980 13767875 14018200 14057384 14170750 15077678 15175585 15330175 15420020 15871240 15974300 16644190 17133725 17520200 17522750 17571730 18035500 18308609 19009417 19272220 19275025 19581400 19839050 19967875 20289500 21245819 21539540 21725048 21900250 22028600 22364020 22676500 23301866 24090275 24280936 24476750 24528280 24600422 24871000 26924425 26981108 27156310 27413960 27535750 27955025 28341500 29871941 30155356 30351170 30660350 30840040 31948600 33288380 33386287 33726385 34267450 35045500 35143460 36071000 36617218 37694195 38018834 38544440 38550050 39678100 39935750 40579000 41610475 42491638 43079080 43800500 43929325 44728040 45353000 46603732 48180550 48953500 49200844 49597625 51596989 53848850 53962216 54312620 55071500 55910050 56683000 58254665 59743882 60310712 60702340 61320700 61501055 66576760 66772574 67452770 67890775 68534900 70091000 70286920 73234436 75388390 75877925 76037668 76650875 77100100 79356200 79871500 83220950 84983276 85668625 87601000 87858650 91543045 93207464 95047085 96361100 96375125 97907000 98401688 99195250 103193978 106229095 107697700 108625240 110143000 111820100 116509330 119487764 120451375 121404680 122641400 123002110 128160263 133545148 134622125 134905540 135781550 137069800 139775125 146468872 149359705 150776780 151755850 152075336 153301750 154200200 159743000 166441900 166931435 168631925 169966552 171337250 175717300 183086090 188470975 190094170 192722200 192750250 198390500 206387956 208052375 209103587 212458190 215395400 219646625 223640200 233018660 233704009 238975528 240902750 246004220 256320526 257984945 267090296 269244250 269811080 271563100 279550250 291273325 298719410 301553560 303511700 306603500 307505275 332883800 333862870 337263850 339453875 342674500 351434600 361178923 366172180 376941950 379389625 380188340 385500500 396781000 412775912 416104750 418207174 424916380 439293250 457715225 466037320 467408018 475235425 481805500 492008440 512641052 515969890 531145475 538488500 543126200 559100500 567566879 582546650 597438820 607023400 613207000 615010550 640801315 667725740 674527700 678907750 685349000 722357846 732344360 746798525 753883900 758779250 760376680 771001000 832209500 834657175 836414348 843159625 849832760 878586500 915430450 934816036 942354875 950470850 963611000 1025282104 1031939780 1045517935 1062290950 1076977000 1118201000 1135133758 1165093300 1168520045 1194877640 1230021100 1281602630 1289924725 1335451480 1349055400 1357815500 1444715692 1456366625 1493597050 1507767800 1517558500 1537526375 1664419000 1669314350 1672828696 1686319250 1757173000 1805894615 1830860900 1869632072 1884709750 1900941700 2063879560 2091035870 2124581900 2270267516 2288576125 2330186600 2337040090 2376177125 2460042200 2563205260 2579849450 2655727375 2715631000 2837834395 2889431384 2912733250 2987194100 3035117000 3075052750 3204006575 3338628700 3372638500 3611789230 3661721800 3733992625 3769419500 3801883400 3972968153 4173285875 4182071740 4249163800 4540535032 4577152250 4674080180 4752354250 5126410520 5159698900 5227589675 5311454750 5675668790 5825466500 5842600225 5974388200 6150105500 6408013150 6449623625 6677257400 6745277000 7223578460 7467985250 7538839000 7945936306 8346571750 8364143480 9029473075 9154304500 9348160360 9504708500 10319397800 10455179350 10622909500 11351337580 11650933000 11685200450 12300211000 12816026300 12899247250 14189171975 14447156920 14935970500 15891872612 16020032875 16693143500 18058946150 18308609000 19009417000 19864840765 20910358700 21245819000 22702675160 23370400900 25632052600 25798494500 26137948375 28378343950 29213001125 29871941000 31783745224 32040065750 33386287000 36117892300 39729681530 41820717400 45147365375 46740801800 51596989000 52275896750 56756687900 58426002250 64080131500 70945859875 72235784600 79459363060 90294730750 99324203825 104551793500 113513375800 116852004500 128160263000 141891719750 158918726120 180589461500 198648407650 209103587000 233704009000 283783439500 361178923000 397296815300 496621019125 567566879000 794593630600 993242038250 1986484076500 3972968153000
• Sum of all divisors σ(n): 13337793331200
• Sum of proper divisors (its aliquot sum) s(n): 9364825178200
• 3972968153000 is an abundant number, because the sum of its proper divisors (9364825178200) is greater than itself. Its abundance is 5391857025200

Bases of 3972968153000

• Binary: 111001110100000111010110101111111110101000₂
• Hexadecimal: 0x39D075AFFA8
• Base-36: 1EP5MNQG8

Squares and roots of 3972968153000

• 3972968153000 squared (3972968153000²) is 15784475944752231409000000
• 3972968153000 cubed (3972968153000³) is 62711220240295202863643317577000000000
• The square root of 3972968153000 is 1993230.5819949683
• The cube root of 3972968153000 is 15838.1710120491

Scales and comparisons

• 3,972,968,153,000 seconds is equal to 126,328 years, 5 weeks, 16 hours, 43 minutes, 20 seconds.
• To count from 1 to 3,972,968,153,000 would take you about three hundred fifteen thousand, eight hundred twenty 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 3972968153000 cubic inches would be around 1319.8 feet tall.

Recreational maths with 3972968153000

• 3972968153000 backwards is 0003518692793
• The number of decimal digits it has is: 13
• The sum of 3972968153000's digits is 53
• More coming soon!