137216553120

Names of 137216553120

• Cardinal: 137216553120 can be written as One hundred thirty-seven billion, two hundred sixteen million, five hundred fifty-three thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3721655312 × 10¹¹

Factors of 137216553120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1473

Divisors of 137216553120

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 72 80 81 87 90 96 108 116 120 135 144 145 160 162 174 180 216 232 240 261 270 288 290 324 331 348 360 405 432 435 464 480 522 540 580 648 662 696 720 783 810 864 870 928 993 1044 1080 1103 1160 1296 1305 1324 1392 1440 1566 1620 1655 1740 1986 2088 2160 2206 2320 2349 2592 2610 2648 2784 2979 3132 3240 3309 3310 3480 3915 3972 4176 4320 4412 4640 4698 4965 5220 5296 5515 5958 6264 6480 6618 6620 6960 7830 7944 8352 8824 8937 9396 9599 9927 9930 10440 10592 11030 11745 11916 12528 12960 13236 13240 13920 14895 15660 15888 16545 17648 17874 18792 19198 19854 19860 20880 22060 23490 23832 25056 26472 26480 26811 28797 29781 29790 31320 31776 31987 33090 35296 35748 37584 38396 39708 39720 41760 44120 44685 46980 47664 47995 49635 52944 52960 53622 57594 59562 59580 62640 63974 66180 71496 75168 76792 79416 79440 86391 88240 89343 89370 93960 95328 95961 95990 99270 105888 107244 115188 119124 119160 125280 127948 132360 134055 142992 143985 148905 153584 158832 158880 159935 172782 176480 178686 178740 187920 191922 191980 198540 214488 230376 238248 238320 255896 259173 264720 268110 285984 287883 287970 297810 307168 317664 319870 345564 357372 357480 365093 375840 383844 383960 397080 428976 431955 446715 460752 476496 476640 479805 511792 518346 529440 536220 575766 575940 595620 639740 691128 714744 714960 730186 767688 767920 777519 794160 857952 863649 863910 893430 921504 952992 959610 1023584 1036692 1072440 1095279 1151532 1151880 1191240 1279480 1295865 1382256 1429488 1429920 1439415 1460372 1535376 1535840 1555038 1588320 1727298 1727820 1786860 1825465 1919220 2073384 2144880 2190558 2303064 2303760 2382480 2558960 2590947 2591730 2764512 2858976 2878830 2920744 3070752 3110076 3285837 3454596 3455640 3573720 3650930 3838440 3887595 4146768 4289760 4318245 4381116 4606128 4607520 4764960 5117920 5181894 5183460 5476395 5757660 5841488 6220152 6571674 6909192 6911280 7147440 7301860 7676880 7775190 8293536 8636490 8762232 9212256 9857511 10363788 10366920 10587697 10952790 11515320 11682976 12440304 12954735 13143348 13818384 13822560 14294880 14603720 15353760 15550380 16429185 17272980 17524464 19715022 20727576 20733840 21175394 21905580 23030640 24880608 25909470 26286696 27636768 29207440 29572533 31100760 31763091 32858370 34545960 35048928 39430044 41455152 41467680 42350788 43811160 46061280 49287555 51818940 52573392 52938485 58414880 59145066 62201520 63526182 65716740 69091920 78860088 82910304 84701576 87622320 95289273 98575110 103637880 105146784 105876970 118290132 124403040 127052364 131433480 138183840 147862665 157720176 158815455 169403152 175244640 190578546 197150220 207275760 211753940 236580264 254104728 262866960 285867819 295725330 315440352 317630910 338806304 381157092 394300440 414551520 423507880 473160528 476446365 508209456 525733920 571735638 591450660 635261820 762314184 788600880 847015760 857603457 946321056 952892730 1016418912 1143471276 1182901320 1270523640 1429339095 1524628368 1577201760 1694031520 1715206914 1905785460 2286942552 2365802640 2541047280 2858678190 3049256736 3430413828 3811570920 4288017285 4573885104 4731605280 5082094560 5717356380 6860827656 7623141840 8576034570 9147770208 11434712760 13721655312 15246283680 17152069140 22869425520 27443310624 34304138280 45738851040 68608276560 137216553120
• Sum of all divisors σ(n): 502927729920
• Sum of proper divisors (its aliquot sum) s(n): 365711176800
• 137216553120 is an abundant number, because the sum of its proper divisors (365711176800) is greater than itself. Its abundance is 228494623680

Bases of 137216553120

• Binary: 1111111110010101111100111000010100000₂
• Hexadecimal: 0x1FF2BE70A0
• Base-36: 1R1B6Y00

Squares and roots of 137216553120

• 137216553120 squared (137216553120²) is 18828382450133781734400
• 137216553120 cubed (137216553120³) is 2583565740632457812464783331328000
• The square root of 137216553120 is 370427.5274868215
• The cube root of 137216553120 is 5157.8515122571

Scales and comparisons

• 137,216,553,120 seconds is equal to 4,363 years, 3 weeks, 1 day, 13 hours, 12 minutes.
• To count from 1 to 137,216,553,120 would take you about eight thousand, seven hundred twenty-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 137216553120 cubic inches would be around 429.8 feet tall.

Recreational maths with 137216553120

• 137216553120 backwards is 021355612731
• 137216553120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137216553120's digits is 36
• More coming soon!