3946918770144

Names of 3946918770144

• Cardinal: 3946918770144 can be written as Three trillion, nine hundred forty-six billion, nine hundred eighteen million, seven hundred seventy thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.946918770144 × 10¹²

Factors of 3946918770144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 55

Divisors of 3946918770144

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 72 81 84 86 96 98 108 112 126 129 144 147 162 168 172 189 196 216 224 252 258 288 294 301 324 336 343 344 378 387 392 432 441 504 516 567 588 602 648 672 686 688 756 774 784 864 882 903 1008 1029 1032 1134 1161 1176 1204 1296 1323 1372 1376 1512 1548 1568 1764 1806 1849 2016 2058 2064 2107 2268 2322 2352 2401 2408 2592 2646 2709 2744 3024 3087 3096 3483 3528 3612 3698 3969 4116 4128 4214 4536 4644 4704 4802 4816 5292 5418 5488 5547 6048 6174 6192 6321 6966 7056 7203 7224 7396 7938 8127 8232 8428 9072 9261 9288 9604 9632 10584 10836 10976 11094 12348 12384 12642 12943 13932 14112 14406 14448 14749 14792 15876 16254 16464 16641 16807 16856 18144 18522 18576 18963 19208 21168 21609 21672 22188 24381 24696 25284 25886 27783 27864 28812 28896 29498 29584 31752 32508 32928 33282 33614 33712 37044 37152 37926 38416 38829 42336 43218 43344 44247 44376 48762 49392 49923 50421 50568 51772 55566 55728 56889 57624 58996 59168 63504 64827 65016 66564 67228 67424 74088 75852 76832 77658 86436 86688 88494 88752 90601 97524 98784 99846 100842 101136 103243 103544 111132 111456 113778 115248 116487 117649 117992 127008 129654 130032 132741 133128 134456 148176 149769 151263 151704 155316 170667 172872 176988 177504 181202 194481 195048 199692 201684 202272 206486 207088 222264 227556 230496 232974 235298 235984 259308 260064 265482 266256 268912 271803 296352 299538 302526 303408 309729 310632 341334 345744 349461 352947 353976 362404 388962 390096 398223 399384 403368 412972 414176 444528 453789 455112 465948 470596 471968 518616 530964 532512 537824 543606 599076 605052 606816 619458 621264 634207 682668 691488 698922 705894 707952 722701 724808 777924 780192 796446 798768 806736 815409 823543 825944 889056 907578 910224 929187 931896 941192 1037232 1048383 1058841 1061928 1087212 1194669 1198152 1210104 1238916 1242528 1268414 1361367 1365336 1397844 1411788 1415904 1445402 1449616 1555848 1592892 1597536 1613472 1630818 1647086 1651888 1815156 1820448 1858374 1863792 1882384 1902621 2074464 2096766 2117682 2123856 2168103 2174424 2389338 2396304 2420208 2446227 2470629 2477832 2536828 2722734 2730672 2787561 2795688 2823576 2890804 2899232 3111696 3176523 3185784 3261636 3294172 3303776 3630312 3716748 3727584 3764768 3805242 4193532 4235364 4247712 4336206 4348848 4439449 4778676 4792608 4840416 4892454 4941258 4955664 5058907 5073656 5445468 5461344 5575122 5591376 5647152 5707863 5781608 6223392 6353046 6371568 6504309 6523272 6588344 7260624 7338681 7411887 7433496 7610484 8362683 8387064 8470728 8672412 8697696 8878898 9529569 9557352 9784908 9882516 9911328 10117814 10147312 10890936 11150244 11182752 11294304 11415726 11563216 12706092 12743136 13008618 13046544 13176688 13318347 14521248 14677362 14823774 14866992 15176721 15220968 16725366 16774128 16941456 17123589 17344824 17757796 19059138 19114704 19512927 19569816 19765032 20235628 20294624 21781872 22235661 22300488 22831452 23126432 25412184 26017236 26093088 26353376 26636694 29354724 29647548 29733984 30353442 30441936 31076143 33450732 33548256 33882912 34247178 34689648 35412349 35515592 38118276 38229408 39025854 39139632 39530064 39955041 40471256 43563744 44471322 44600976 45530163 45662904 50824368 51370767 52034472 53273388 58538781 58709448 59295096 60706884 60883872 62152286 66706983 66901464 68494356 69379296 70824698 71031184 76236552 78051708 78279264 79060128 79910082 80942512 88942644 89201952 91060326 91325808 93228429 101648736 102741534 104068944 106237047 106546776 117077562 117418896 118590192 119865123 121413768 124304572 133413966 133802928 136590489 136988712 141649396 142062368 152473104 156103416 159820164 161885024 177885288 182120652 182651616 186456858 205483068 208137888 212474094 213093552 217533001 234155124 234837792 237180384 239730246 242827536 248609144 266827932 267605856 273180978 273977424 279685287 283298792 304946208 312206832 318711141 319640328 355770576 359595369 364241304 372913716 409771467 410966136 424948188 426187104 435066002 468310248 479460492 485655072 497218288 533655864 546361956 547954848 559370574 566597584 624413664 637422282 639280656 652599003 711541152 719190738 728482608 745827432 819542934 821932272 839055861 849896376 870132004 936620496 956133423 958920984 994436576 1067311728 1092723912 1118741148 1133195168 1274844564 1278561312 1305198006 1438381476 1456965216 1491654864 1522731007 1639085868 1643864544 1678111722 1699792752 1740264008 1873240992 1912266846 1917841968 1957797009 2134623456 2185447824 2237482296 2517167583 2549689128 2610396012 2868400269 2876762952 2983309728 3045462014 3278171736 3356223444 3399585504 3480528016 3824533692 3835683936 3915594018 4370895648 4474964592 4568193021 5034335166 5099378256 5220792024 5736800538 5753525904 5873391027 6090924028 6556343472 6712446888 6961056032 7649067384 7831188036 8949929184 9136386042 10068670332 10198756512 10441584048 11473601076 11507051808 11746782054 12181848056 13112686944 13424893776 13704579063 15298134768 15662376072 17620173081 18272772084 20137340664 20883168096 22947202152 23493564108 24363696112 26849787552 27409158126 30596269536 31324752144 35240346162 36545544168 40274681328 41113737189 45894404304 46987128216 48727392224 54818316252 62649504288 70480692324 73091088336 80549362656 82227474378 91788808608 93974256432 109636632504 123341211567 140961384648 146182176672 164454948756 187948512864 219273265008 246682423134 281922769296 328909897512 438546530016 493364846268 563845538592 657819795024 986729692536 1315639590048 1973459385072 3946918770144
• Sum of all divisors σ(n): 13864669711200
• Sum of proper divisors (its aliquot sum) s(n): 9917750941056
• 3946918770144 is an abundant number, because the sum of its proper divisors (9917750941056) is greater than itself. Its abundance is 5970832170912

Bases of 3946918770144

• Binary: 111001011011110110101100001111010111100000₂
• Hexadecimal: 0x396F6B0F5E0
• Base-36: 1ED6TJ200

Squares and roots of 3946918770144

• 3946918770144 squared (3946918770144²) is 15578167778115025505780736
• 3946918770144 cubed (3946918770144³) is 61485762807894645547843294095647145984
• The square root of 3946918770144 is 1986685.3727110391
• The cube root of 3946918770144 is 15803.4799392311

Scales and comparisons

• 3,946,918,770,144 seconds is equal to 125,499 years, 42 weeks, 5 hours, 2 minutes, 24 seconds.
• To count from 1 to 3,946,918,770,144 would take you about three hundred thirteen thousand, seven hundred forty-nine 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 3946918770144 cubic inches would be around 1317 feet tall.

Recreational maths with 3946918770144

• 3946918770144 backwards is 4410778196493
• 3946918770144 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3946918770144's digits is 63
• More coming soon!