137253719680

Names of 137253719680

• Cardinal: 137253719680 can be written as One hundred thirty-seven billion, two hundred fifty-three million, seven hundred nineteen thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3725371968 × 10¹¹

Factors of 137253719680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2629

Divisors of 137253719680

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 77 80 88 98 110 112 128 140 154 160 163 176 196 220 224 245 280 308 320 326 352 385 392 440 448 490 539 560 616 640 652 704 770 784 815 880 896 980 1078 1120 1141 1232 1304 1408 1540 1568 1630 1760 1793 1960 2156 2240 2282 2441 2464 2608 2695 3080 3136 3260 3520 3586 3920 4312 4480 4564 4882 4928 5216 5390 5705 6160 6272 6520 7040 7172 7840 7987 8624 8965 9128 9764 9856 10432 10780 11410 12205 12320 12551 13040 14344 15680 15974 17087 17248 17930 18256 19528 20864 21560 22820 24410 24640 25102 26080 26851 28688 31360 31948 34174 34496 35860 36512 39056 39935 43120 45640 48820 49280 50204 52160 53702 57376 62755 63896 68348 68992 71720 73024 78112 79870 85435 86240 87857 91280 97640 100408 104320 107404 114752 119609 125510 127792 134255 136696 143440 146048 156224 159740 170870 172480 175714 182560 187957 195280 200816 214808 229504 239218 251020 255584 268510 273392 286880 312448 319480 341740 344960 351428 365120 375914 390560 397883 401632 429616 439285 478436 502040 511168 537020 546784 573760 598045 638960 683480 702856 730240 751828 781120 795766 803264 859232 878570 939785 956872 1004080 1022336 1074040 1093568 1147520 1196090 1277920 1315699 1366960 1405712 1503656 1562240 1591532 1606528 1718464 1757140 1879570 1913744 1989415 2008160 2148080 2187136 2392180 2555840 2631398 2733920 2785181 2811424 3007312 3183064 3436928 3514280 3759140 3827488 3978830 4016320 4296160 4376713 4784360 5111680 5262796 5467840 5570362 5622848 6014624 6366128 6578495 7028560 7518280 7654976 7957660 8032640 8592320 8753426 9568720 10525592 10935680 11140724 11245696 12029248 12732256 13156990 13925905 14057120 15036560 15309952 15915320 17184640 17506852 19137440 19496267 21051184 21883565 22281448 24058496 25464512 26313980 27851810 28114240 30073120 30636991 31830640 35013704 38274880 38992534 42102368 43767130 44562896 50929024 52627960 55703620 56228480 60146240 61273982 63661280 70027408 76549760 77985068 84204736 87534260 89125792 97481335 105255920 111407240 120292480 122547964 127322560 140054816 153184955 155970136 168409472 175068520 178251584 194962670 210511840 214458937 222814480 245095928 254645120 280109632 306369910 311940272 350137040 356503168 389925340 421023680 428917874 445628960 490191856 560219264 612739820 623880544 700274080 779850680 842047360 857835748 891257920 980383712 1072294685 1225479640 1247761088 1400548160 1559701360 1715671496 1782515840 1960767424 2144589370 2450959280 2495522176 2801096320 3119402720 3431342992 3921534848 4289178740 4901918560 6238805440 6862685984 8578357480 9803837120 12477610880 13725371968 17156714960 19607674240 27450743936 34313429920 68626859840 137253719680
• Sum of all divisors σ(n): 419118701760
• Sum of proper divisors (its aliquot sum) s(n): 281864982080
• 137253719680 is an abundant number, because the sum of its proper divisors (281864982080) is greater than itself. Its abundance is 144611262400

Bases of 137253719680

• Binary: 1111111110100111101011000111010000000₂
• Hexadecimal: 0x1FF4F58E80
• Base-36: 1R1XBJWG

Squares and roots of 137253719680

• 137253719680 squared (137253719680²) is 18838583565996019302400
• 137253719680 cubed (137253719680³) is 2585665667935472413327478751232000
• The square root of 137253719680 is 370477.6912042073
• The cube root of 137253719680 is 5158.3171564957

Scales and comparisons

• 137,253,719,680 seconds is equal to 4,364 years, 12 weeks, 4 days, 17 hours, 14 minutes, 40 seconds.
• To count from 1 to 137,253,719,680 would take you about eight thousand, seven hundred twenty-eight 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 137253719680 cubic inches would be around 429.9 feet tall.

Recreational maths with 137253719680

• 137253719680 backwards is 086917352731
• The number of decimal digits it has is: 12
• The sum of 137253719680's digits is 52
• More coming soon!