146220597168048

Names of 146220597168048

• Cardinal: 146220597168048 can be written as One hundred forty-six trillion, two hundred twenty billion, five hundred ninety-seven million, one hundred sixty-eight thousand and forty-eight.

Scientific notation

• Scientific notation: 1.46220597168048 × 10¹⁴

Factors of 146220597168048

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 199

Divisors of 146220597168048

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 61 69 72 78 92 97 104 117 122 138 144 156 183 184 194 207 208 234 244 276 291 299 312 366 368 388 414 468 488 549 552 582 598 624 732 776 793 828 873 897 936 976 1098 1104 1164 1196 1261 1403 1464 1552 1586 1656 1746 1794 1872 2196 2231 2328 2379 2392 2522 2691 2806 2928 3172 3312 3492 3588 3721 3783 4209 4392 4462 4656 4758 4784 5044 5382 5612 5917 6344 6693 6984 7137 7176 7442 7566 8418 8784 8924 9409 9516 10088 10764 11163 11224 11349 11834 12627 12688 13386 13968 14274 14352 14884 15132 16836 17751 17848 18239 18818 19032 20079 20176 21528 22326 22448 22698 23668 25254 26772 28227 28548 29003 29768 30264 33489 33672 35502 35696 36478 37636 38064 40158 43056 44652 45396 47336 48373 50508 53253 53544 54717 56454 57096 58006 59536 60528 66978 67344 71004 72956 75272 76921 80316 84681 85583 87009 89304 90792 94672 96746 101016 106506 107088 109434 112908 114192 116012 122317 133956 136091 142008 145119 145912 150544 153842 160632 164151 169362 171166 174018 178608 181584 193492 202032 213012 216407 218868 225816 230763 232024 244634 256749 261027 267912 272182 284016 290238 291824 307684 321264 328302 338724 342332 348036 360937 366951 386984 408273 426024 432814 435357 437736 451632 461526 464048 489268 513498 522054 535824 544364 573949 580476 615368 649221 656604 677448 684664 692289 696072 721874 733902 770247 773968 816546 852048 865628 870714 875472 912673 923052 978536 1026996 1044108 1082811 1088728 1100853 1112579 1147898 1160952 1224819 1230736 1298442 1313208 1354896 1369328 1384578 1392144 1443748 1467804 1540494 1633092 1721847 1731256 1741428 1769183 1825346 1846104 1947663 1957072 2053992 2088216 2165622 2177456 2201706 2225158 2295796 2321904 2449638 2596884 2626416 2738019 2769156 2813291 2887496 2935608 3080988 3248433 3266184 3337737 3443694 3462512 3482856 3538366 3650692 3692208 3895326 4107984 4176432 4331244 4403412 4450316 4591592 4692181 4899276 5165541 5193768 5307549 5476038 5538312 5626582 5774992 5871216 6161976 6496866 6532368 6675474 6887388 6965712 7076732 7301384 7461337 7790652 8214057 8301551 8439873 8662488 8806824 8900632 9183184 9384362 9798552 10013211 10331082 10387536 10615098 10952076 11076624 11253164 11864749 12323952 12993732 13200827 13350948 13774776 14076543 14153464 14602768 14922674 15581304 15922647 16428114 16603102 16879746 17324976 17613648 17801264 18768724 19597104 20026422 20662164 20991479 21230196 21904152 22384011 22506328 23729498 24904653 25319619 25987464 26401654 26701896 27549552 28153086 28306928 29845348 31162608 31845294 32856228 33206204 33759492 35010889 35594247 37537448 39602481 40052844 41324328 41982958 42229629 42460392 43808304 44768022 45012656 47458996 49809306 50639238 51974928 52803308 53403792 55673053 56306172 59690696 62974437 63690588 65712456 66412408 67152033 67518984 70021778 71188494 74713959 75074896 79204962 80105688 82648656 83965916 84459258 84920784 89536044 94917992 99618612 101278476 105032667 105606616 106782741 107920163 111346106 112612344 118807443 119381392 125948874 127381176 131424912 132824816 134304066 135037968 140043556 142376988 149427918 158409924 160211376 167019159 167931832 168918516 171610751 179072088 188923311 189835984 199237224 202556952 210065334 211213232 213565482 215840326 222692212 225224688 237614886 251897748 254762352 268608132 272889227 280087112 284753976 298855836 315098001 316819848 323760489 334038318 335863664 337837032 343221502 358144176 377846622 398474448 405113904 420130668 427130964 431680652 445384424 455141557 475229772 501057477 503795496 514832253 537216264 545778454 560174224 569507952 597711672 630196002 633639696 647520978 668076636 675674064 686443004 723749689 755693244 805250447 818667681 840261336 854261928 863361304 890768848 910283114 950459544 971281467 1002114954 1007590992 1029664506 1074432528 1091556908 1195423344 1260392004 1280480219 1295041956 1336153272 1365424671 1372886008 1447499378 1511386488 1544496759 1610500894 1637335362 1680522672 1708523856 1726722608 1820566228 1900919088 1942562934 2004229908 2059329012 2171249067 2183113816 2415751341 2456003043 2520784008 2560960438 2590083912 2672306544 2730849342 2745772016 2894998756 3022772976 3088993518 3221001788 3274670724 3396056233 3641132456 3841440657 3885125868 4008459816 4096274013 4118658024 4342498134 4366227632 4831502682 4912006086 5041568016 5121920876 5180167824 5461698684 5789997512 6177987036 6442003576 6513747201 6549341448 6792112466 7247254023 7282264912 7682881314 7770251736 8016919632 8192548026 8237316048 8684996268 9663005364 9824012172 10188168699 10243841752 10468255811 10923397368 11524321971 11579995024 12355974072 12884007152 13027494402 13098682896 13584224932 14494508046 15365762628 15540503472 16385096052 16646242847 17369992536 19326010728 19648024344 20376337398 20487683504 20936511622 21846794736 23048643942 24711948144 26054988804 27168449864 28989016092 30564506097 30731525256 31404767433 32770192104 33292485694 34739985072 38652021456 39296048688 40752674796 41873023244 44148731029 46097287884 49938728541 52109977608 54336899728 57978032184 61129012194 61463050512 62809534866 65540384208 66584971388 78109293359 81505349592 83746046488 88297462058 92194575768 94214302299 99877457082 104219955216 115956064368 122258024388 125619069732 132446193087 133169942776 149816185623 156218586718 163010699184 167492092976 176594924116 184389151536 188428604598 199754914164 234327880077 244516048776 251238139464 264892386174 266339885552 299632371246 312437173436 353189848232 376857209196 397338579261 399509828328 468655760154 489032097552 502476278928 529784772348 599264742492 624874346872 702983640231 706379696464 753714418392 794677158522 799019656656 937311520308 1015420813667 1059569544696 1198529484984 1249748693744 1405967280462 1507428836784 1589354317044 1874623040616 2030841627334 2119139089392 2397058969968 2811934560924 3046262441001 3178708634088 3749246081232 4061683254668 5623869121848 6092524882002 6357417268176 8123366509336 9138787323003 11247738243696 12185049764004 16246733018672 18277574646006 24370099528008 36555149292012 48740199056016 73110298584024 146220597168048
• Sum of all divisors σ(n): 472385288531520
• Sum of proper divisors (its aliquot sum) s(n): 326164691363472
• 146220597168048 is an abundant number, because the sum of its proper divisors (326164691363472) is greater than itself. Its abundance is 179944094195424

Bases of 146220597168048

• Binary: 100001001111110010100010110000001100011110110000₂
• Hexadecimal: 0x84FCA2C0C7B0
• Base-36: 1FTWTC8ZW0

Squares and roots of 146220597168048

• 146220597168048 squared (146220597168048²) is 21380463036180566797552130304
• 146220597168048 cubed (146220597168048³) is 3126264072879699129240522520867711881326592
• The square root of 146220597168048 is 12092170.9038554363
• The cube root of 146220597168048 is 52682.8811348453

Scales and comparisons

• 146,220,597,168,048 seconds is equal to 4,649,362 years, 36 weeks, 2 days, 18 hours, 40 minutes, 48 seconds.
• To count from 1 to 146,220,597,168,048 would take you about eleven million, six hundred twenty-three thousand, four hundred 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 146220597168048 cubic inches would be around 4390.2 feet tall.

Recreational maths with 146220597168048

• 146220597168048 backwards is 840861795022641
• The number of decimal digits it has is: 15
• The sum of 146220597168048's digits is 63
• More coming soon!