396142316603968

Names of 396142316603968

• Cardinal: 396142316603968 can be written as Three hundred ninety-six trillion, one hundred forty-two billion, three hundred sixteen million, six hundred three thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.96142316603968 × 10¹⁴

Factors of 396142316603968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5452

Divisors of 396142316603968

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 8 11 16 22 32 41 44 47 64 82 88 94 121 164 176 188 242 328 352 376 451 484 517 656 704 752 902 968 1034 1312 1331 1504 1681 1804 1927 1936 2068 2624 2662 3008 3362 3608 3854 3872 4136 4961 5324 5351 5687 6724 7216 7708 7744 8272 9922 10648 10702 11374 13448 14432 14641 15416 16544 18491 19844 21197 21296 21404 22748 26896 28864 29282 30832 33088 36982 39688 42394 42592 42808 45496 53792 54571 58564 58861 61664 62557 73964 79007 79376 84788 85184 85616 90992 107584 109142 117128 117722 123328 125114 147928 158014 158752 169576 171232 181984 203401 218284 219391 233167 234256 235444 250228 251497 295856 316028 317504 339152 342464 363968 406802 436568 438782 466334 468512 470888 500456 502994 591712 600281 632056 647471 678304 688127 813604 869077 873136 877564 932668 937024 941776 1000912 1005988 1183424 1200562 1264112 1294942 1356608 1376254 1627208 1738154 1746272 1755128 1865336 1883552 2001824 2011976 2237411 2401124 2413301 2528224 2564837 2589884 2752508 2766467 3254416 3476308 3492544 3510256 3730672 3767104 4003648 4023952 4474822 4802248 4826602 5056448 5129674 5179768 5505016 5532934 6508832 6952616 7020512 7122181 7461344 8047904 8949644 8995031 9559847 9604496 9653204 10259348 10311377 10359536 11010032 11065868 13017664 13905232 14041024 14244362 14922688 16095808 17899288 17990062 19119694 19208992 19306408 20518696 20622754 20719072 22020064 22131736 24611521 26546311 27810464 28213207 28488724 30431137 35798576 35980124 38239388 38417984 38612816 41037392 41245508 41438144 44040128 44263472 49223042 53092622 55620928 56426414 56977448 60862274 71597152 71960248 76478776 77225632 78343991 82074784 82491016 88526944 98446084 98945341 105158317 106185244 112852828 113425147 113954896 121724548 143194304 143920496 152957552 154451264 156687982 164149568 164982032 177053888 196892168 197890682 210316634 212370488 225705656 226850294 227909792 243449096 287840992 292009421 305915104 313375964 329964064 334742507 393784336 395781364 420633268 422766457 424740976 451411312 453700588 455819584 486898192 575681984 584018842 611830208 626751928 659928128 669485014 787568672 791562728 841266536 845532914 849481952 902822624 907401176 973796384 1088398751 1156741487 1168037684 1247676617 1253503856 1338970028 1575137344 1583125456 1682533072 1691065828 1698963904 1805645248 1814802352 1947592768 2176797502 2313482974 2336075368 2495353234 2507007712 2677940056 3166250912 3212103631 3365066144 3382131656 3629604704 3682167577 4353595004 4626965948 4650431027 4672150736 4990706468 5014015424 5355880112 6332501824 6424207262 6730132288 6764263312 7259209408 7364335154 8707190008 9253931896 9300862054 9344301472 9981412936 10711760224 11972386261 12848414524 13528526624 13724442787 14728670308 17414380016 18507863792 18601724108 18688602944 19962825872 21423520448 23944772522 25696829048 27057053248 27448885574 29457340616 34828760032 37015727584 37203448216 39925651744 47889545044 51154741297 51393658096 54897771148 58914681232 69657520064 74031455168 74406896432 79851303488 95779090088 102309482594 102787316192 109795542296 117829362464 131696248871 148813792864 150968870657 191558180176 204618965188 205574632384 219591084592 235658724928 263392497742 297627585728 301937741314 383116360352 409237930376 439182169184 526784995484 562702154267 603875482628 766232720704 818475860752 878364338368 1053569990968 1125404308534 1207750965256 1636951721504 2107139981936 2250808617068 2415501930512 3273903443008 4214279963872 4501617234136 4831003861024 6189723696937 8428559927744 9003234468272 9662007722048 12379447393874 18006468936544 24758894787748 36012937873088 49517789575496 99035579150992 198071158301984 396142316603968
• Sum of all divisors σ(n): 905330329015680
• Sum of proper divisors (its aliquot sum) s(n): 509188012411712
• 396142316603968 is an abundant number, because the sum of its proper divisors (509188012411712) is greater than itself. Its abundance is 113045695807744

Bases of 396142316603968

• Binary: 1011010000100101000010010000011111100101001000000₂
• Hexadecimal: 0x1684A120FCA40
• Base-36: 3WF59N7PZ4

Squares and roots of 396142316603968

• 396142316603968 squared (396142316603968²) is 156928735004358420984553345024
• 396142316603968 cubed (396142316603968³) is 62166112626356749206036309128553150271455232
• The square root of 396142316603968 is 19903324.2601322255
• The cube root of 396142316603968 is 73443.0006263069

Scales and comparisons

• 396,142,316,603,968 seconds is equal to 12,596,100 years, 16 weeks, 4 days, 5 hours, 59 minutes, 28 seconds.
• To count from 1 to 396,142,316,603,968 would take you about thirty-one million, four hundred ninety thousand, two hundred fifty 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 396142316603968 cubic inches would be around 6120.3 feet tall.

Recreational maths with 396142316603968

• 396142316603968 backwards is 869306613241693
• The number of decimal digits it has is: 15
• The sum of 396142316603968's digits is 67
• More coming soon!