3978415400960

Names of 3978415400960

• Cardinal: 3978415400960 can be written as Three trillion, nine hundred seventy-eight billion, four hundred fifteen million, four hundred thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.97841540096 × 10¹²

Factors of 3978415400960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 127

Divisors of 3978415400960

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 40 44 49 52 55 56 64 65 70 77 80 88 89 91 98 104 110 112 128 130 140 143 154 160 176 178 182 196 208 220 224 245 256 260 280 286 308 320 343 352 356 364 385 392 416 440 445 448 455 490 512 520 539 560 572 616 623 637 640 686 704 712 715 728 770 784 832 880 890 896 910 979 980 1001 1024 1040 1078 1120 1144 1157 1232 1246 1274 1280 1372 1408 1424 1430 1456 1540 1568 1664 1715 1760 1780 1792 1820 1958 1960 2002 2048 2080 2156 2240 2288 2314 2464 2492 2548 2560 2695 2744 2816 2848 2860 2912 3080 3115 3136 3185 3328 3430 3520 3560 3584 3640 3773 3916 3920 4004 4160 4312 4361 4459 4480 4576 4628 4895 4928 4984 5005 5096 5120 5390 5488 5632 5696 5720 5785 5824 6160 6230 6272 6370 6656 6853 6860 7007 7040 7120 7168 7280 7546 7832 7840 7921 8008 8099 8320 8624 8722 8918 8960 9152 9256 9790 9856 9968 10010 10192 10240 10780 10976 11264 11392 11440 11570 11648 12320 12460 12544 12727 12740 13312 13706 13720 14014 14080 14240 14336 14560 15092 15664 15680 15842 16016 16198 16640 17248 17444 17836 17920 18304 18512 18865 19580 19712 19936 20020 20384 21560 21805 21952 22295 22528 22784 22880 23140 23296 24640 24920 25088 25454 25480 26624 27412 27440 28028 28160 28480 29120 30184 30527 31328 31360 31684 32032 32396 33280 34265 34496 34888 35035 35672 35840 36608 37024 37730 39160 39424 39605 39872 40040 40495 40768 43120 43610 43904 44590 45568 45760 46280 46592 47971 49049 49280 49840 50176 50908 50960 54824 54880 55447 56056 56320 56693 56960 58240 60368 61054 62656 62720 63368 63635 64064 64792 66560 68530 68992 69776 70070 71344 71680 73216 74048 75460 78320 78848 79210 79744 80080 80990 81536 86240 87131 87220 87808 89089 89180 91136 91520 92560 93184 95942 98098 98560 99680 100352 101816 101920 102973 109648 109760 110894 112112 112640 113386 113920 116480 120736 122108 125312 125440 126736 127270 128128 129584 133120 137060 137984 139552 140140 142688 146432 148096 150920 152635 156640 157696 158420 159488 160160 161980 163072 172480 174262 174440 175616 178178 178360 182272 183040 185120 186368 191884 196196 197120 199360 203632 203840 205946 219296 219520 221788 224224 226772 227840 232960 239855 241472 244216 245245 250624 250880 253472 254540 256256 259168 274120 275968 277235 279104 280280 283465 285376 292864 296192 301840 305270 313280 316840 318976 320320 323960 326144 335797 344960 348524 348880 351232 356356 356720 366080 370240 383768 388129 392392 394240 396851 398720 407264 407680 411892 435655 438592 439040 443576 445445 448448 453544 455680 465920 479710 482944 488432 490490 501248 501760 506944 509080 512512 514865 518336 548240 551936 554470 558208 560560 566930 570752 592384 603680 609917 610540 623623 626560 633680 637952 640640 647920 652288 671594 689920 697048 697760 702464 712712 713440 720811 732160 740480 767536 776258 784784 788480 793702 797440 814528 815360 823784 871310 877184 878080 887152 890890 896896 907088 911360 931840 959420 965888 976864 980980 1002496 1013888 1018160 1025024 1029730 1036672 1096480 1103872 1108940 1116416 1121120 1132703 1133860 1141504 1184768 1207360 1219834 1221080 1247246 1253120 1267360 1275904 1281280 1295840 1304576 1343188 1379840 1394096 1395520 1425424 1426880 1441622 1464320 1480960 1535072 1552516 1569568 1587404 1594880 1629056 1630720 1647568 1678985 1742620 1754368 1756160 1774304 1781780 1793792 1814176 1918840 1931776 1940645 1953728 1961960 1984255 2004992 2027776 2036320 2050048 2059460 2073344 2192960 2217880 2232832 2242240 2265406 2267720 2283008 2369536 2414720 2439668 2442160 2494492 2506240 2534720 2562560 2591680 2686376 2716903 2759680 2788192 2791040 2850848 2853760 2883244 2961920 3049585 3070144 3105032 3118115 3139136 3174808 3189760 3258112 3261440 3295136 3357970 3485240 3508736 3512320 3548608 3563560 3587584 3604055 3628352 3837680 3863552 3881290 3907456 3923920 3968510 4055552 4072640 4118920 4146688 4269419 4365361 4385920 4435760 4465664 4484480 4530812 4535440 4566016 4829440 4879336 4884320 4988984 5012480 5045677 5069440 5125120 5183360 5372752 5433806 5519360 5576384 5582080 5663515 5701696 5707520 5766488 5923840 6099170 6140288 6210064 6236230 6278272 6349616 6379520 6516224 6522880 6590272 6715940 6970480 7017472 7097216 7127120 7175168 7208110 7256704 7675360 7727104 7762580 7814912 7847840 7928921 7937020 8111104 8145280 8237840 8293376 8538838 8730722 8771840 8871520 8931328 8968960 9061624 9070880 9132032 9658880 9758672 9768640 9977968 10024960 10091354 10138880 10250240 10366720 10745504 10867612 11152768 11164160 11327030 11403392 11415040 11532976 11847680 12198340 12280576 12420128 12472460 12556544 12699232 13032448 13180544 13431880 13584515 13940960 14034944 14194432 14254240 14350336 14416220 14513408 15350720 15525160 15629824 15695680 15857842 15874040 16222208 16290560 16475680 16586752 17077676 17461444 17543680 17743040 17937920 18123248 18141760 19317760 19517344 19537280 19955936 20182708 20277760 20733440 21347095 21491008 21735224 21826805 22305536 22328320 22654060 22806784 22830080 23065952 24396680 24561152 24840256 24944920 25113088 25228385 25398464 26064896 26361088 26863760 27169030 27881920 28388864 28508480 28832440 29026816 29885933 30701440 31050320 31259648 31391360 31715684 31748080 32581120 32951360 34155352 34922888 35087360 35319739 35486080 35875840 36246496 36283520 38635520 39034688 39074560 39644605 39911872 40365416 40555520 41466880 42694190 42982016 43470448 43653610 44611072 44656640 45308120 45613568 45660160 46131904 48793360 49122304 49680512 49889840 50226176 50456770 50796928 52722176 53727520 54338060 55502447 55763840 56777728 57016960 57664880 58053632 59771866 61402880 62100640 62519296 62782720 63431368 63496160 65162240 65902720 68310704 69845776 70174720 70639478 70972160 71751680 72492992 72567040 78069376 78149120 79289210 79823744 80730832 81111040 82933760 85388380 85964032 86940896 87307220 89222144 90616240 91227136 92263808 97586720 98244608 99361024 99779680 100452352 100913540 101593856 105444352 107455040 108676120 111004894 111527680 113555456 114033920 115329760 116107264 119543732 122805760 124201280 125565440 126862736 126992320 130324480 131805440 136621408 139691552 141278956 141944320 144985984 145134080 149429665 156138752 156298240 158578420 159647488 161461664 170776760 171928064 173881792 174614440 176598695 178444288 181232480 182454272 184527616 195173440 198722048 199559360 201827080 203187712 210888704 214910080 217352240 222009788 223055360 228067840 230659520 239087464 245611520 248402560 251130880 253725472 253984640 263610880 273242816 277512235 279383104 282557912 283888640 289971968 290268160 298859330 312277504 312596480 317156840 319294976 322923328 341553520 343856128 347763584 349228880 353197390 362464960 369055232 388517129 390346880 397444096 399118720 403654160 406375424 429820160 434704480 444019576 446110720 456135680 461319040 478174928 491223040 496805120 502261760 507450944 507969280 527221760 546485632 555024470 558766208 565115824 567777280 579943936 580536320 597718660 624555008 634313680 638589952 645846656 683107040 687712256 695527168 698457760 706394780 724929920 738110464 777034258 780693760 794888192 798237440 807308320 812750848 859640320 869408960 888039152 892221440 912271360 922638080 956349856 993610240 1014901888 1015938560 1054443520 1092971264 1110048940 1117532416 1130231648 1159887872 1195437320 1249110016 1268627360 1277179904 1291693312 1366214080 1391054336 1396915520 1412789560 1449859840 1476220928 1554068516 1561387520 1596474880 1614616640 1719280640 1738817920 1776078304 1845276160 1912699712 1942585645 1987220480 2029803776 2031877120 2185942528 2220097880 2235064832 2260463296 2319775744 2390874640 2537254720 2583386624 2732428160 2782108672 2793831040 2825579120 2899719680 3108137032 3122775040 3192949760 3229233280 3438561280 3477635840 3552156608 3690552320 3825399424 3885171290 3974440960 4059607552 4063754240 4371885056 4440195760 4470129664 4520926592 4781749280 5074509440 5166773248 5464856320 5564217344 5587662080 5651158240 5799439360 6216274064 6245550080 6385899520 6458466560 6955271680 7104313216 7381104640 7650798848 7770342580 8119215104 8743770112 8880391520 8940259328 9041853184 9563498560 10149018880 10333546496 10929712640 11175324160 11302316480 11598878720 12432548128 12916933120 13910543360 14208626432 15301597696 15540685160 16238430208 17760783040 18083706368 19126997120 20298037760 21859425280 22350648320 22604632960 24865096256 25833866240 27821086720 28417252864 30603195392 31081370320 35521566080 36167412736 38253994240 40596075520 43718850560 44701296640 45209265920 49730192512 51667732480 56834505728 61206390784 62162740640 71043132160 72334825472 76507988480 81192151040 90418531840 99460385024 113669011456 124325481280 142086264320 153015976960 180837063680 198920770048 248650962560 284172528640 306031953920 361674127360 397841540096 497301925120 568345057280 795683080192 994603850240 1989207700480 3978415400960
• Sum of all divisors σ(n): 13226994144000
• Sum of proper divisors (its aliquot sum) s(n): 9248578743040
• 3978415400960 is an abundant number, because the sum of its proper divisors (9248578743040) is greater than itself. Its abundance is 5270163342080

Bases of 3978415400960

• Binary: 111001111001001100000010010110100000000000₂
• Hexadecimal: 0x39E4C096800
• Base-36: 1ERNPT5VK

Squares and roots of 3978415400960

• 3978415400960 squared (3978415400960²) is 15827789102595717568921600
• 3978415400960 cubed (3978415400960³) is 62969519928913660288740143698804736000
• The square root of 3978415400960 is 1994596.5509245221
• The cube root of 3978415400960 is 15845.4061606641

Scales and comparisons

• 3,978,415,400,960 seconds is equal to 126,501 years, 15 weeks, 5 days, 13 hours, 9 minutes, 20 seconds.
• To count from 1 to 3,978,415,400,960 would take you about three hundred sixteen thousand, two hundred fifty-three 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 3978415400960 cubic inches would be around 1320.5 feet tall.

Recreational maths with 3978415400960

• 3978415400960 backwards is 0690045148793
• 3978415400960 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3978415400960's digits is 56
• More coming soon!