137306181315072

Names of 137306181315072

• Cardinal: 137306181315072 can be written as One hundred thirty-seven trillion, three hundred six billion, one hundred eighty-one million, three hundred fifteen thousand and seventy-two.

Scientific notation

• Scientific notation: 1.37306181315072 × 10¹⁴

Factors of 137306181315072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1074

Divisors of 137306181315072

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1051 1056 1232 1344 1408 1536 1792 1848 2102 2112 2464 2688 2816 3153 3584 3696 4204 4224 4928 5376 5632 6306 7357 7392 8408 8448 9856 10752 11561 12612 14714 14784 16816 16896 19712 22071 23122 25224 29428 29568 33632 34683 39424 44142 46244 50448 58856 59136 67264 69366 80927 88284 92488 100896 117712 118272 134528 138732 161854 176568 184976 201792 235424 242781 269056 277464 323708 353136 369952 403584 470848 485562 538112 554928 647416 706272 739904 807168 941696 971124 1104601 1109856 1294832 1412544 1479808 1614336 1883392 1942248 2209202 2219712 2589664 2825088 2959616 3313803 3766784 3884496 4418404 4439424 5179328 5650176 5919232 6627606 7732207 7768992 8836808 8878848 10358656 11300352 12150611 13255212 15464414 15537984 17673616 17757696 20717312 23196621 24301222 26510424 30928828 31075968 35347232 36451833 41434624 46393242 48602444 53020848 61857656 62151936 70694464 72903666 85054277 92786484 97204888 106041696 123715312 124303872 141388928 145807332 170108554 185572968 194409776 212083392 247430624 255162831 282777856 291614664 340217108 371145936 388819552 424166784 494861248 510325662 565555712 583229328 680434216 742291872 777639104 848333568 989722496 1020651324 1160935651 1166458656 1360868432 1484583744 1555278208 1696667136 1979444992 2041302648 2321871302 2332917312 2721736864 2969167488 3110556416 3482806953 3958889984 4082605296 4643742604 4665834624 5443473728 5938334976 6221112832 6965613906 8126549557 8165210592 9287485208 9331669248 10886947456 11876669952 12770292161 13931227812 16253099114 16330421184 18574970416 18663338496 21773894912 24379648671 25540584322 27862455624 32506198228 32660842368 37149940832 38310876483 43547789824 48759297342 51081168644 55724911248 65012396456 65321684736 74299881664 76621752966 89392045127 97518594684 102162337288 111449822496 130024792912 130643369472 148599763328 153243505932 178784090254 195037189368 204324674576 222899644992 260049585824 268176135381 297199526656 306487011864 357568180508 390074378736 408649349152 445799289984 520099171648 536352270762 594399053312 612974023728 715136361016 780148757472 817298698304 891598579968 1040198343296 1072704541524 1225948047456 1430272722032 1560297514944 1634597396608 1783197159936 2080396686592 2145409083048 2451896094912 2860545444064 3120595029888 3269194793216 4160793373184 4290818166096 4903792189824 5721090888128 6241190059776 6538389586432 8581636332192 9807584379648 11442181776256 12482380119552 17163272664384 19615168759296 22884363552512 34326545328768 45768727105024 68653090657536 137306181315072
• Sum of all divisors σ(n): 456487009532928
• Sum of proper divisors (its aliquot sum) s(n): 319180828217856
• 137306181315072 is an abundant number, because the sum of its proper divisors (319180828217856) is greater than itself. Its abundance is 181874646902784

Bases of 137306181315072

• Binary: 11111001110000100010110001010011010101000000000₂
• Hexadecimal: 0x7CE11629AA00
• Base-36: 1CO5L77PXC

Squares and roots of 137306181315072

• 137306181315072 squared (137306181315072²) is 18852987427327427219334365184
• 137306181315072 cubed (137306181315072³) is 2588631710027392522745158194324519411253248
• The square root of 137306181315072 is 11717772.0286354779
• The cube root of 137306181315072 is 51589.7428326779

Scales and comparisons

• 137,306,181,315,072 seconds is equal to 4,365,911 years, 44 weeks, 1 day, 8 hours, 51 minutes, 12 seconds.
• To count from 1 to 137,306,181,315,072 would take you about ten million, nine hundred fourteen thousand, seven hundred seventy-nine 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 137306181315072 cubic inches would be around 4299.1 feet tall.

Recreational maths with 137306181315072

• 137306181315072 backwards is 270513181603731
• 137306181315072 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137306181315072's digits is 48
• More coming soon!