137981435904

Names of 137981435904

• Cardinal: 137981435904 can be written as One hundred thirty-seven billion, nine hundred eighty-one million, four hundred thirty-five thousand, nine hundred four.

Scientific notation

• Scientific notation: 1.37981435904 × 10¹¹

Factors of 137981435904

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1086

Divisors of 137981435904

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 47 48 52 54 64 72 78 94 96 104 108 117 128 141 144 156 188 192 208 216 234 256 282 288 312 351 376 384 416 423 432 468 512 564 576 611 624 702 752 768 832 846 864 936 1021 1024 1128 1152 1222 1248 1269 1404 1504 1536 1664 1692 1728 1833 1872 2042 2048 2256 2304 2444 2496 2538 2808 3008 3063 3072 3328 3384 3456 3666 3744 4084 4096 4512 4608 4888 4992 5076 5499 5616 6016 6126 6144 6656 6768 6912 7332 7488 8168 8192 9024 9189 9216 9776 9984 10152 10998 11232 12032 12252 12288 13273 13312 13536 13824 14664 14976 16336 16497 18048 18378 18432 19552 19968 20304 21996 22464 24064 24504 24576 26546 26624 27072 27567 27648 29328 29952 32672 32994 36096 36756 36864 39104 39819 39936 40608 43992 44928 47987 48128 49008 53092 53248 54144 55134 55296 58656 59904 65344 65988 72192 73512 73728 78208 79638 79872 81216 87984 89856 95974 96256 98016 106184 106496 108288 110268 110592 117312 119457 119808 130688 131976 143961 144384 147024 156416 159276 159744 162432 175968 179712 191948 192512 196032 212368 216576 220536 221184 234624 238914 239616 261376 263952 287922 288768 294048 312832 318552 319488 324864 351936 358371 359424 383896 385024 392064 424736 431883 433152 441072 469248 477828 479232 522752 527904 575844 577536 588096 623831 625664 637104 649728 703872 716742 718848 767792 784128 849472 863766 866304 882144 938496 955656 958464 1045504 1055808 1151688 1155072 1176192 1247662 1251328 1274208 1295649 1299456 1407744 1433484 1437696 1535584 1568256 1698944 1727532 1732608 1764288 1871493 1876992 1911312 2091008 2111616 2303376 2352384 2495324 2502656 2548416 2591298 2598912 2815488 2866968 2875392 3071168 3136512 3397888 3455064 3465216 3528576 3742986 3753984 3822624 4182016 4223232 4606752 4704768 4990648 5005312 5096832 5182596 5197824 5614479 5630976 5733936 6142336 6273024 6795776 6910128 7057152 7485972 7507968 7645248 8364032 8446464 9213504 9409536 9981296 10193664 10365192 10395648 11228958 11261952 11467872 12284672 12546048 13591552 13820256 14114304 14971944 15015936 15290496 16843437 16892928 18427008 18819072 19962592 20387328 20730384 22457916 22523904 22935744 24569344 25092096 27183104 27640512 28228608 29943888 30580992 33686874 33785856 36854016 37638144 39925184 40774656 41460768 44915832 45047808 45871488 49138688 54366208 55281024 56457216 59887776 61161984 67373748 67571712 73708032 75276288 79850368 81549312 82921536 89831664 91742976 98277376 108732416 110562048 112914432 119775552 122323968 134747496 135143424 147416064 159700736 163098624 165843072 179663328 183485952 196554752 221124096 225828864 239551104 244647936 269494992 294832128 319401472 326197248 331686144 359326656 366971904 393109504 442248192 479102208 489295872 538989984 589664256 638802944 663372288 718653312 733943808 884496384 958204416 978591744 1077979968 1179328512 1277605888 1326744576 1437306624 1467887616 1768992768 1916408832 2155959936 2555211776 2653489152 2874613248 2935775232 3537985536 3832817664 4311919872 5110423552 5306978304 5749226496 7665635328 8623839744 10613956608 11498452992 15331270656 17247679488 22996905984 34495358976 45993811968 68990717952 137981435904
• Sum of all divisors σ(n): 450063290880
• Sum of proper divisors (its aliquot sum) s(n): 312081854976
• 137981435904 is an abundant number, because the sum of its proper divisors (312081854976) is greater than itself. Its abundance is 174100419072

Bases of 137981435904

• Binary: 10000000100000010101011010000000000000₂
• Hexadecimal: 0x202055A000
• Base-36: 1RDYL1C0

Squares and roots of 137981435904

• 137981435904 squared (137981435904²) is 19038876654129660297216
• 137981435904 cubed (137981435904³) is 2627011538735953699205603093643264
• The square root of 137981435904 is 371458.5251464825
• The cube root of 137981435904 is 5167.4175203857

Scales and comparisons

• 137,981,435,904 seconds is equal to 4,387 years, 19 weeks, 6 days, 8 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,981,435,904 would take you about eight thousand, seven hundred seventy-four 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 137981435904 cubic inches would be around 430.6 feet tall.

Recreational maths with 137981435904

• 137981435904 backwards is 409534189731
• 137981435904 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137981435904's digits is 54
• More coming soon!