137120972800

Names of 137120972800

• Cardinal: 137120972800 can be written as One hundred thirty-seven billion, one hundred twenty million, nine hundred seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.371209728 × 10¹¹

Factors of 137120972800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 75

Divisors of 137120972800

• Number of divisors d(n): 456
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 61 64 70 80 98 100 112 122 128 140 160 175 196 200 224 244 245 256 280 305 320 343 350 392 400 427 448 488 490 512 560 610 640 686 700 784 800 854 896 976 980 1024 1120 1220 1225 1280 1372 1400 1525 1568 1600 1708 1715 1792 1952 1960 2048 2135 2240 2440 2450 2560 2744 2800 2989 3050 3136 3200 3416 3430 3584 3904 3920 4096 4270 4480 4880 4900 5120 5488 5600 5978 6100 6272 6400 6832 6860 7168 7808 7840 8192 8540 8575 8960 9760 9800 10240 10675 10976 11200 11956 12200 12544 12800 13664 13720 14336 14945 15616 15680 16384 17080 17150 17920 19520 19600 20480 20923 21350 21952 22400 23912 24400 25088 25600 27328 27440 28672 29890 31232 31360 32768 34160 34300 35840 39040 39200 40960 41846 42700 43904 44800 47824 48800 50176 51200 54656 54880 57344 59780 62464 62720 65536 68320 68600 71680 74725 78080 78400 81920 83692 85400 87808 89600 95648 97600 100352 102400 104615 109312 109760 114688 119560 124928 125440 131072 136640 137200 143360 149450 156160 156800 163840 167384 170800 175616 179200 191296 195200 200704 204800 209230 218624 219520 229376 239120 249856 250880 262144 273280 274400 286720 298900 312320 313600 327680 334768 341600 351232 358400 382592 390400 401408 409600 418460 437248 439040 458752 478240 499712 501760 523075 546560 548800 573440 597800 624640 627200 655360 669536 683200 702464 716800 765184 780800 802816 819200 836920 874496 878080 917504 956480 999424 1003520 1046150 1093120 1097600 1146880 1195600 1249280 1254400 1310720 1339072 1366400 1404928 1433600 1530368 1561600 1605632 1638400 1673840 1748992 1756160 1835008 1912960 1998848 2007040 2092300 2186240 2195200 2293760 2391200 2498560 2508800 2678144 2732800 2809856 2867200 3060736 3123200 3211264 3276800 3347680 3497984 3512320 3825920 3997696 4014080 4184600 4372480 4390400 4587520 4782400 4997120 5017600 5356288 5465600 5619712 5734400 6121472 6246400 6422528 6553600 6695360 6995968 7024640 7651840 7995392 8028160 8369200 8744960 8780800 9175040 9564800 9994240 10035200 10712576 10931200 11239424 11468800 12242944 12492800 12845056 13390720 13991936 14049280 15303680 15990784 16056320 16738400 17489920 17561600 19129600 19988480 20070400 21425152 21862400 22478848 22937600 24485888 24985600 26781440 27983872 28098560 30607360 32112640 33476800 34979840 35123200 38259200 39976960 40140800 42850304 43724800 44957696 45875200 48971776 49971200 53562880 55967744 56197120 61214720 64225280 66953600 69959680 70246400 76518400 79953920 80281600 85700608 87449600 89915392 97943552 99942400 107125760 111935488 112394240 122429440 133907200 139919360 140492800 153036800 160563200 171401216 174899200 195887104 199884800 214251520 224788480 244858880 267814400 279838720 280985600 306073600 321126400 342802432 349798400 391774208 399769600 428503040 449576960 489717760 535628800 559677440 561971200 612147200 685604864 699596800 783548416 857006080 979435520 1071257600 1123942400 1224294400 1371209728 1399193600 1714012160 1958871040 2142515200 2247884800 2448588800 2742419456 2798387200 3428024320 3917742080 4285030400 4897177600 5484838912 6856048640 8570060800 9794355200 13712097280 17140121600 19588710400 27424194560 34280243200 68560486400 137120972800
• Sum of all divisors σ(n): 403071845600
• Sum of proper divisors (its aliquot sum) s(n): 265950872800
• 137120972800 is an abundant number, because the sum of its proper divisors (265950872800) is greater than itself. Its abundance is 128829900000

Bases of 137120972800

• Binary: 1111111101101000011000000000000000000₂
• Hexadecimal: 0x1FED0C0000
• Base-36: 1QZQABR4

Squares and roots of 137120972800

• 137120972800 squared (137120972800²) is 18802161181618339840000
• 137120972800 cubed (137120972800³) is 2578170631965904237181796352000000
• The square root of 137120972800 is 370298.4914903111
• The cube root of 137120972800 is 5156.6536402375

Scales and comparisons

• 137,120,972,800 seconds is equal to 4,360 years, 1 week, 1 day, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 137,120,972,800 would take you about eight thousand, seven hundred twenty 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 137120972800 cubic inches would be around 429.7 feet tall.

Recreational maths with 137120972800

• 137120972800 backwards is 008279021731
• 137120972800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137120972800's digits is 40
• More coming soon!