378982214949312

Names of 378982214949312

• Cardinal: 378982214949312 can be written as Three hundred seventy-eight trillion, nine hundred eighty-two billion, two hundred fourteen million, nine hundred forty-nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 3.78982214949312 × 10¹⁴

Factors of 378982214949312

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 155

Divisors of 378982214949312

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 137 144 156 162 192 208 216 234 243 274 288 312 324 351 411 416 432 468 486 548 576 624 648 702 729 822 832 864 936 972 1053 1096 1233 1248 1296 1404 1458 1644 1728 1781 1872 1944 2106 2187 2192 2466 2496 2592 2808 2916 3159 3288 3562 3699 3744 3888 4212 4374 4384 4932 5184 5343 5616 5832 6318 6561 6576 7124 7398 7488 7776 8424 8748 8768 9477 9864 10686 11097 11232 11664 12636 13122 13152 14248 14796 15552 16029 16848 17496 18769 18954 19683 19728 21372 22194 22464 23328 25272 26244 26304 28431 28496 29592 32058 33291 33696 34992 37538 37908 39366 39456 42744 44388 46656 48087 50544 52488 56307 56862 56992 59049 59184 64116 66582 67392 69984 75076 75816 78732 78912 85293 85488 88776 96174 99873 101088 104976 112614 113724 113984 118098 118368 128232 133164 139968 144261 150152 151632 157464 168921 170586 170976 177147 177552 192348 199746 202176 209952 225228 227448 236196 236736 243997 255879 256464 266328 288522 299619 300304 303264 314928 337842 341172 341952 354294 355104 384696 399492 419904 432783 450456 454896 472392 487994 506763 511758 512928 532656 577044 599238 600608 606528 629856 675684 682344 708588 710208 731991 767637 769392 798984 865566 898857 900912 909792 944784 975988 1013526 1023516 1025856 1065312 1154088 1198476 1201216 1259712 1298349 1351368 1364688 1417176 1463982 1520289 1535274 1538784 1597968 1731132 1797714 1801824 1819584 1889568 1951976 2027052 2047032 2130624 2195973 2302911 2308176 2396952 2571353 2596698 2696571 2702736 2729376 2834352 2927964 3040578 3070548 3077568 3195936 3462264 3595428 3603648 3779136 3895047 3903952 4054104 4094064 4391946 4560867 4605822 4616352 4793904 5142706 5193396 5393142 5405472 5458752 5668704 5855928 6081156 6141096 6391872 6587919 6924528 7190856 7714059 7790094 7807904 8089713 8108208 8188128 8783892 9121734 9211644 9232704 9587808 10285412 10386792 10786284 10810944 11337408 11685141 11711856 12162312 12282192 13175838 13682601 13849056 14381712 15428118 15580188 15615808 16179426 16216416 16376256 17567784 18243468 18423288 19175616 19763757 20570824 20773584 21572568 23142177 23370282 23423712 24269139 24324624 24564384 26351676 27365202 27698112 28763424 30856236 31160376 32358852 32432832 33427589 35055423 35135568 36486936 36846576 39527514 41047803 41141648 41547168 43145136 46284354 46740564 46847424 48538278 48649248 49128768 52703352 54730404 57526848 59291271 61712472 62320752 64717704 66855178 69426531 70110846 70271136 72973872 73693152 79055028 82095606 82283296 83094336 86290272 92568708 93481128 97076556 97298496 100282767 105166269 105406704 109460808 118582542 123143409 123424944 124641504 129435408 133710356 138853062 140221692 140542272 145947744 147386304 158110056 164191212 164566592 172580544 177873813 185137416 186962256 194153112 200565534 208279593 210332538 210813408 218921616 237165084 246286818 246849888 249283008 258870816 267420712 277706124 280443384 291895488 300848301 315498807 316220112 328382424 355747626 369430227 370274832 373924512 388306224 401131068 416559186 420665076 421626816 437843232 474330168 492573636 493699776 517741632 533621439 534841424 555412248 560886768 601696602 624838779 630997614 632440224 656764848 711495252 738860454 740549664 747849024 776612448 802262136 833118372 841330152 875686464 902544903 948660336 985147272 1067242878 1069682848 1108290681 1110824496 1121773536 1203393204 1249677558 1261995228 1264880448 1313529696 1422990504 1477720908 1481099328 1553224896 1600864317 1604524272 1666236744 1682660304 1805089806 1874516337 1897320672 1970294544 2134485756 2139365696 2216581362 2221648992 2243547072 2406786408 2499355116 2523990456 2627059392 2707634709 2845981008 2955441816 3201728634 3209048544 3324872043 3332473488 3365320608 3610179612 3749032674 3794641344 3940589088 4268971512 4433162724 4443297984 4802592951 4813572816 4998710232 5047980912 5415269418 5623549011 5691962016 5910883632 6403457268 6418097088 6649744086 6664946976 6730641216 7220359224 7498065348 7881178176 8122904127 8537943024 8866325448 9605185902 9627145632 9997420464 10095961824 10830538836 11247098022 11383924032 11821767264 12806914536 13299488172 13329893952 14407778853 14440718448 14996130696 16245808254 16870647033 17075886048 17732650896 19210371804 19254291264 19994840928 20191923648 21661077672 22494196044 23643534528 24368712381 25613829072 26598976344 28815557706 28881436896 29992261392 32491616508 33741294066 34151772096 35465301792 38420743608 39989681856 43223336559 43322155344 44988392088 48737424762 50611941099 51227658144 53197952688 57631115412 57762873792 59984522784 64983233016 67482588132 70930603584 73106137143 76841487216 86446673118 86644310688 89976784176 97474849524 101223882198 102455316288 106395905376 115262230824 119969045568 129966466032 134965176264 146212274286 151835823297 153682974432 172893346236 173288621376 179953568352 194949699048 202447764396 212791810752 219318411429 230524461648 259932932064 269930352528 292424548572 303671646594 307365948864 345786692472 359907136704 389899398096 404895528792 438636822858 455507469891 461048923296 519865864128 539860705056 584849097144 607343293188 657955234287 691573384944 779798796192 809791057584 877273645716 911014939782 922097846592 1079721410112 1169698194288 1214686586376 1315910468574 1383146769888 1559597592384 1619582115168 1754547291432 1822029879564 1973865702861 2339396388576 2429373172752 2631820937148 2766293539776 3239164230336 3509094582864 3644059759128 3947731405722 4678792777152 4858746345504 5263641874296 5921597108583 7018189165728 7288119518256 7895462811444 9717492691008 10527283748592 11843194217166 14036378331456 14576239036512 15790925622888 21054567497184 23686388434332 29152478073024 31581851245776 42109134994368 47372776868664 63163702491552 94745553737328 126327404983104 189491107474656 378982214949312
• Sum of all divisors σ(n): 1223768751441600
• Sum of proper divisors (its aliquot sum) s(n): 844786536492288
• 378982214949312 is an abundant number, because the sum of its proper divisors (844786536492288) is greater than itself. Its abundance is 465804321542976

Bases of 378982214949312

• Binary: 1010110001010111010101100010011000101100111000000₂
• Hexadecimal: 0x158AEAC4C59C0
• Base-36: 3QC60XR000

Squares and roots of 378982214949312

• 378982214949312 squared (378982214949312²) is 143627519247886523974729273344
• 378982214949312 cubed (378982214949312³) is 54432275372238977228956631910018499552739328
• The square root of 378982214949312 is 19467465.5502279495
• The cube root of 378982214949312 is 72366.8401553435

Scales and comparisons

• 378,982,214,949,312 seconds is equal to 12,050,462 years, 8 weeks, 4 days, 13 hours, 55 minutes, 12 seconds.
• To count from 1 to 378,982,214,949,312 would take you about thirty million, one hundred twenty-six thousand, one hundred fifty-five 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 378982214949312 cubic inches would be around 6030.6 feet tall.

Recreational maths with 378982214949312

• 378982214949312 backwards is 213949412289873
• 378982214949312 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 378982214949312's digits is 72
• More coming soon!