420972344517312

Names of 420972344517312

• Cardinal: 420972344517312 can be written as Four hundred twenty trillion, nine hundred seventy-two billion, three hundred forty-four million, five hundred seventeen thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.20972344517312 × 10¹⁴

Factors of 420972344517312

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1451

Divisors of 420972344517312

• Number of divisors d(n): 588
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 343 378 392 432 441 448 504 576 588 672 686 756 784 864 882 1008 1029 1176 1323 1344 1372 1439 1512 1568 1728 1764 2016 2058 2352 2401 2646 2744 2878 3024 3087 3136 3528 4032 4116 4317 4704 4802 5292 5488 5756 6048 6174 7056 7203 8232 8634 9261 9408 9604 10073 10584 10976 11512 12096 12348 12951 14112 14406 16464 16807 17268 18522 19208 20146 21168 21609 21952 23024 24696 25902 28224 28812 30219 32928 33614 34536 37044 38416 38853 40292 42336 43218 46048 49392 50421 51804 57624 60438 64827 65856 67228 69072 70511 74088 76832 77706 80584 84672 86436 90657 92096 98784 100842 103608 115248 117649 120876 129654 134456 138144 141022 148176 151263 153664 155412 161168 172872 181314 197568 201684 207216 211533 230496 235298 241752 259308 268912 271971 276288 282044 296352 302526 310824 322336 345744 352947 362628 403368 414432 423066 453789 460992 470596 483504 493577 518616 537824 543942 564088 592704 605052 621648 634599 644672 691488 705894 725256 806736 828864 846132 907578 941192 967008 987154 1037232 1058841 1075648 1087884 1128176 1210104 1243296 1269198 1382976 1411788 1450512 1480731 1613472 1692264 1815156 1882384 1903797 1934016 1974308 2070721 2074464 2117682 2175768 2256352 2420208 2486592 2538396 2823576 2901024 2961462 3176523 3226944 3384528 3455039 3630312 3764768 3807594 3948616 4141442 4148928 4235364 4351536 4442193 4512704 4840416 5076792 5647152 5802048 5922924 6212163 6353046 6769056 6910078 7260624 7529536 7615188 7897232 8282884 8470728 8703072 8884386 9680832 10153584 10365117 11294304 11845848 12424326 12706092 13326579 13538112 13820156 14495047 14521248 15230376 15794464 16565768 16941456 17406144 17768772 18636489 20307168 20730234 22588608 23691696 24185273 24848652 25412184 26653158 27640312 28990094 29042496 30460752 31095351 31588928 33131536 33882912 35537544 37272978 40614336 41460468 43485141 47383392 48370546 49697304 50824368 53306316 55280624 55909467 57980188 60921504 62190702 66263072 67765824 71075088 72555819 74545956 82920936 86970282 93286053 94766784 96741092 99394608 101465329 101648736 106612632 110561248 111818934 115960376 121843008 124381404 130455423 132526144 142150176 145111638 149091912 165841872 169296911 173940564 186572106 193482184 198789216 202930658 203297472 213225264 217667457 221122496 223637868 231920752 248762808 260910846 284300352 290223276 298183824 304395987 331683744 338593822 347881128 373144212 386964368 391366269 397578432 405861316 426450528 435334914 447275736 463841504 497525616 507890733 521821692 580446552 596367648 608791974 653002371 663367488 677187644 695762256 710257303 746288424 773928736 782732538 811722632 852901056 870669828 894551472 913187961 927683008 995051232 1015781466 1043643384 1160893104 1192735296 1217583948 1306004742 1354375288 1391524512 1420514606 1492576848 1523672199 1547857472 1565465076 1623445264 1741339656 1789102944 1826375922 1990102464 2031562932 2087286768 2130771909 2321786208 2435167896 2612009484 2708750576 2739563883 2783049024 2841029212 2985153696 3047344398 3130930152 3246890528 3482679312 3578205888 3652751844 4063125864 4174573536 4261543818 4571016597 4643572416 4870335792 4971801121 5224018968 5417501152 5479127766 5682058424 5970307392 6094688796 6261860304 6392315727 6493781056 6965358624 7305503688 8126251728 8349147072 8523087636 9142033194 9740671584 9943602242 10448037936 10835002304 10958255532 11364116848 12189377592 12523720608 12784631454 13930717248 14611007376 14915403363 16252503456 17046175272 18284066388 19176947181 19481343168 19887204484 20896075872 21916511064 22728233696 24378755184 25047441216 25569262908 29222014752 29830806726 32505006912 34092350544 34802607847 36568132776 38353894362 39774408968 41792151744 43833022128 44746210089 45456467392 48757510368 51138525816 58444029504 59661613452 68184701088 69605215694 73136265552 76707788724 79548817936 87666044256 89492420178 97515020736 102277051632 104407823541 119323226904 134238630267 136369402176 139210431388 146272531104 153415577448 159097635872 175332088512 178984840356 204554103264 208815647082 238646453808 243618254929 268477260534 278420862776 292545062208 306831154896 313223470623 318195271744 357969680712 409108206528 417631294164 477292907616 487236509858 536954521068 556841725552 613662309792 626446941246 715939361424 730854764787 835262588328 939670411869 954585815232 974473019716 1073909042136 1113683451104 1227324619584 1252893882492 1431878722848 1461709529574 1670525176656 1879340823738 1948946039432 2147818084272 2192564294361 2227366902208 2505787764984 2863757445696 2923419059148 3341050353312 3758681647476 3897892078864 4295636168544 4385128588722 5011575529968 5846838118296 6577692883083 6682100706624 7517363294952 7795784157728 8591272337088 8770257177444 10023151059936 11693676236592 13155385766166 15034726589904 15591568315456 17540514354888 20046302119872 23387352473184 26310771532332 30069453179808 35081028709776 46774704946368 52621543064664 60138906359616 70162057419552 105243086129328 140324114839104 210486172258656 420972344517312
• Sum of all divisors σ(n): 1444846500075160
• Sum of proper divisors (its aliquot sum) s(n): 1023874155557848
• 420972344517312 is an abundant number, because the sum of its proper divisors (1023874155557848) is greater than itself. Its abundance is 602901811040536

Bases of 420972344517312

• Binary: 1011111101101111101000011000011100010001011000000₂
• Hexadecimal: 0x17EDF430E22C0
• Base-36: 45800WQPC0

Squares and roots of 420972344517312

• 420972344517312 squared (420972344517312²) is 177217714848402426706267705344
• 420972344517312 cubed (420972344517312³) is 74603756909732424729482471574437765522915328
• The square root of 420972344517312 is 20517610.5947381699
• The cube root of 420972344517312 is 74946.4711092567

Scales and comparisons

• 420,972,344,517,312 seconds is equal to 13,385,618 years, 20 weeks, 6 days, 13 hours, 55 minutes, 12 seconds.
• To count from 1 to 420,972,344,517,312 would take you about thirty-three million, four hundred sixty-four thousand and forty-six 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 420972344517312 cubic inches would be around 6245.5 feet tall.

Recreational maths with 420972344517312

• 420972344517312 backwards is 213715443279024
• 420972344517312 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 420972344517312's digits is 54
• More coming soon!