137434936320

Names of 137434936320

• Cardinal: 137434936320 can be written as One hundred thirty-seven billion, four hundred thirty-four million, nine hundred thirty-six thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3743493632 × 10¹¹

Factors of 137434936320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 178

Divisors of 137434936320

• Number of divisors d(n): 594
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 121 128 132 144 157 160 165 176 180 192 198 220 240 242 256 264 288 314 320 330 352 360 363 384 396 440 471 480 484 495 512 528 576 605 628 640 660 704 720 726 768 785 792 880 942 960 968 990 1024 1056 1089 1152 1210 1256 1280 1320 1408 1413 1440 1452 1536 1570 1584 1727 1760 1815 1884 1920 1936 1980 2112 2178 2304 2355 2420 2512 2560 2640 2816 2826 2880 2904 3072 3140 3168 3454 3520 3630 3768 3840 3872 3960 4224 4356 4608 4710 4840 5024 5120 5181 5280 5445 5632 5652 5760 5808 6280 6336 6908 7040 7065 7260 7536 7680 7744 7920 8448 8635 8712 9216 9420 9680 10048 10362 10560 10890 11264 11304 11520 11616 12560 12672 13816 14080 14130 14520 15072 15360 15488 15543 15840 16896 17270 17424 18840 18997 19360 20096 20724 21120 21780 22608 23040 23232 24649 25120 25344 25905 27632 28160 28260 29040 30144 30976 31086 31680 33792 34540 34848 37680 37994 38720 40192 41448 42240 43560 45216 46080 46464 49298 50240 50688 51810 55264 56320 56520 56991 58080 60288 61952 62172 63360 69080 69696 73947 75360 75988 77440 77715 80384 82896 84480 87120 90432 92928 94985 98596 100480 101376 103620 110528 113040 113982 116160 120576 123245 123904 124344 126720 138160 139392 147894 150720 151976 154880 155430 160768 165792 168960 170973 174240 180864 185856 189970 197192 200960 207240 221056 221841 226080 227964 232320 241152 246490 248688 253440 271139 276320 278784 284955 295788 301440 303952 309760 310860 331584 341946 348480 361728 369735 371712 379940 394384 401920 414480 442112 443682 452160 455928 464640 482304 492980 497376 506880 542278 552640 557568 569910 591576 602880 607904 619520 621720 663168 683892 696960 723456 739470 759880 788768 803840 813417 828960 854865 884224 887364 904320 911856 929280 985960 994752 1084556 1105280 1109205 1115136 1139820 1183152 1205760 1215808 1243440 1326336 1355695 1367784 1393920 1446912 1478940 1519760 1577536 1626834 1657920 1709730 1768448 1774728 1808640 1823712 1858560 1971920 1989504 2169112 2210560 2218410 2279640 2366304 2411520 2431616 2440251 2486880 2652672 2711390 2735568 2787840 2957880 2982529 3039520 3155072 3253668 3315840 3419460 3549456 3617280 3647424 3943840 3979008 4067085 4338224 4421120 4436820 4559280 4732608 4863232 4880502 4973760 5305344 5422780 5471136 5575680 5915760 5965058 6079040 6310144 6507336 6631680 6838920 7098912 7234560 7294848 7887680 7958016 8134170 8676448 8842240 8873640 8947587 9118560 9465216 9726464 9761004 9947520 10845560 10942272 11831520 11930116 12158080 12201255 12620288 13014672 13263360 13677840 14197824 14589696 14912645 15775360 15916032 16268340 17352896 17747280 17895174 18237120 18930432 19452928 19522008 19895040 21691120 21884544 23663040 23860232 24316160 24402510 25240576 26029344 26526720 26842761 27355680 28395648 29179392 29825290 31550720 32536680 34705792 35494560 35790348 36474240 37860864 39044016 39790080 43382240 43769088 44737935 47326080 47720464 48632320 48805020 52058688 53685522 54711360 56791296 58358784 59650580 63101440 65073360 69411584 70989120 71580696 72948480 75721728 78088032 79580160 86764480 87538176 89475870 94652160 95440928 97264640 97610040 104117376 107371044 109422720 113582592 119301160 126202880 130146720 134213805 138823168 141978240 143161392 145896960 156176064 173528960 175076352 178951740 189304320 190881856 195220080 208234752 214742088 218845440 227165184 238602320 260293440 268427610 277646336 283956480 286322784 291793920 312352128 347057920 357903480 378608640 381763712 390440160 416469504 429484176 437690880 477204640 520586880 536855220 567912960 572645568 624704256 694115840 715806960 763527424 780880320 832939008 858968352 875381760 954409280 1041173760 1073710440 1135825920 1145291136 1249408512 1388231680 1431613920 1527054848 1561760640 1717936704 1908818560 2082347520 2147420880 2290582272 2498817024 2863227840 3054109696 3123521280 3435873408 3817637120 4164695040 4294841760 4581164544 5726455680 6247042560 6871746816 7635274240 8589683520 9162329088 11452911360 12494085120 13743493632 15270548480 17179367040 22905822720 27486987264 34358734080 45811645440 68717468160 137434936320
• Sum of all divisors σ(n): 526790983446
• Sum of proper divisors (its aliquot sum) s(n): 389356047126
• 137434936320 is an abundant number, because the sum of its proper divisors (389356047126) is greater than itself. Its abundance is 251921110806

Bases of 137434936320

• Binary: 1111111111111110000101011010000000000₂
• Hexadecimal: 0x1FFFC2B400
• Base-36: 1R4X7NK0

Squares and roots of 137434936320

• 137434936320 squared (137434936320²) is 18888361721282455142400
• 137434936320 cubed (137434936320³) is 2595920790353579811229000531968000
• The square root of 137434936320 is 370722.1821256451
• The cube root of 137434936320 is 5160.5863404375

Scales and comparisons

• 137,434,936,320 seconds is equal to 4,370 years, 2 days, 3 hours, 12 minutes.
• To count from 1 to 137,434,936,320 would take you about eight thousand, seven hundred forty 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 137434936320 cubic inches would be around 430 feet tall.

Recreational maths with 137434936320

• 137434936320 backwards is 023639434731
• 137434936320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137434936320's digits is 45
• More coming soon!