148720413200128

Names of 148720413200128

• Cardinal: 148720413200128 can be written as One hundred forty-eight trillion, seven hundred twenty billion, four hundred thirteen million, two hundred thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.48720413200128 × 10¹⁴

Factors of 148720413200128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 261

Divisors of 148720413200128

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 241 242 256 308 343 352 392 448 482 484 539 616 686 704 784 847 896 964 968 1078 1232 1372 1408 1568 1687 1694 1792 1928 1936 2156 2464 2651 2744 2816 3136 3374 3388 3773 3856 3872 4312 4928 5302 5488 5929 6272 6748 6776 7546 7712 7744 8624 9856 10604 10976 11809 11858 12544 13496 13552 15092 15424 15488 17248 18557 19712 21208 21952 23618 23716 26992 27104 29161 30184 30848 30976 34496 37114 41503 42416 43904 47236 47432 53984 54208 58081 58322 60368 61696 68992 74228 82663 83006 84832 87808 94472 94864 107968 108416 116162 116644 120736 129899 137984 148456 165326 166012 169664 188944 189728 204127 215936 216832 232324 233288 241472 259798 296912 330652 332024 339328 377888 379456 406567 408254 431872 464648 466576 482944 519596 593824 638891 661304 664048 678656 755776 758912 813134 816508 909293 929296 933152 965888 1039192 1187648 1277782 1322608 1328096 1428889 1511552 1517824 1626268 1633016 1818586 1858592 1866304 2078384 2375296 2555564 2645216 2656192 2845969 2857778 3023104 3252536 3266032 3637172 3717184 3732608 4156768 4472237 4750592 5111128 5290432 5312384 5691938 5715556 6505072 6532064 7027801 7274344 7434368 7465216 8313536 8944474 10002223 10222256 10580864 10624768 11383876 11431112 13010144 13064128 13997521 14055602 14548688 14868736 16627072 17888948 19921783 20004446 20444512 21161728 22767752 22862224 26020288 26128256 27995042 28111204 29097376 31305659 33254144 35777896 39843566 40008892 40889024 45535504 45724448 49194607 52040576 52256512 55990084 56222408 58194752 62611318 71555792 79687132 80017784 81778048 91071008 91448896 97982647 98389214 104081152 111980168 112444816 116389504 125222636 143111584 153972731 159374264 160035568 163556096 182142016 182897792 195965294 196778428 219139613 223960336 224889632 232779008 250445272 286223168 307945462 318748528 320071136 344362249 364284032 365795584 391930588 393556856 438279226 447920672 449779264 500890544 572446336 615890924 637497056 640142272 685878529 688724498 728568064 783861176 787113712 876558452 895841344 899558528 1001781088 1077809117 1144892672 1231781848 1274994112 1280284544 1371757058 1377448996 1567722352 1574227424 1693700041 1753116904 1791682688 1799117056 2003562176 2155618234 2410535743 2463563696 2549988224 2560569088 2743514116 2754897992 3135444704 3148454848 3387400082 3506233808 3583365376 4007124352 4311236468 4801149703 4821071486 4927127392 5099976448 5487028232 5509795984 6270889408 6296909696 6774800164 7012467616 7544663819 8014248704 8622472936 9602299406 9642142972 9854254784 10974056464 11019591968 11855900287 12541778816 12593819392 13549600328 14024935232 15089327638 17244945872 19204598812 19284285944 19708509568 21948112928 22039183936 23711800574 25083557632 27099200656 28049870464 30178655276 34489891744 38409197624 38568571888 39417019136 43896225856 44078367872 47423601148 52812646733 54198401312 56099740928 60357310552 68979783488 76818395248 77137143776 82991302009 87792451712 88156735744 94847202296 105625293466 108396802624 120714621104 137959566976 153636790496 154274287552 165982604018 175584903424 189694404592 211250586932 216793605248 241429242208 275919133952 307273580992 308548575104 331965208036 379388809184 422501173864 433587210496 482858484416 580939114063 614547161984 617097150208 663930416072 758777618368 845002347728 965716968832 1161878228126 1229094323968 1327860832144 1517555236736 1690004695456 1931433937664 2323756456252 2655721664288 3035110473472 3380009390912 4647512912504 5311443328576 6760018781824 9295025825008 10622886657152 13520037563648 18590051650016 21245773314304 37180103300032 74360206600064 148720413200128
• Sum of all divisors σ(n): 382110930308800
• Sum of proper divisors (its aliquot sum) s(n): 233390517108672
• 148720413200128 is an abundant number, because the sum of its proper divisors (233390517108672) is greater than itself. Its abundance is 84670103908544

Bases of 148720413200128

• Binary: 100001110100001010101011011001100100111100000000₂
• Hexadecimal: 0x8742AB664F00
• Base-36: 1GPT7Q670G

Squares and roots of 148720413200128

• 148720413200128 squared (148720413200128²) is 22117761302416806665779216384
• 148720413200128 cubed (148720413200128³) is 3289362599957228719405908711853909608497152
• The square root of 148720413200128 is 12195097.9167913203
• The cube root of 148720413200128 is 52981.4119223219

Scales and comparisons

• 148,720,413,200,128 seconds is equal to 4,728,849 years, 6 weeks, 16 hours, 55 minutes, 28 seconds.
• To count from 1 to 148,720,413,200,128 would take you about eleven million, eight hundred twenty-two thousand, one hundred twenty-two 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 148720413200128 cubic inches would be around 4415.1 feet tall.

Recreational maths with 148720413200128

• 148720413200128 backwards is 821002314027841
• The number of decimal digits it has is: 15
• The sum of 148720413200128's digits is 43
• More coming soon!