137428706787328

Names of 137428706787328

• Cardinal: 137428706787328 can be written as One hundred thirty-seven trillion, four hundred twenty-eight billion, seven hundred six million, seven hundred eighty-seven thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37428706787328 × 10¹⁴

Factors of 137428706787328

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 986

Divisors of 137428706787328

• Number of divisors d(n): 368
• Complete list of divisors:
  1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 211 256 304 352 418 422 512 608 704 743 836 844 1024 1216 1408 1486 1672 1688 2048 2321 2432 2816 2972 3344 3376 4009 4096 4642 4864 5632 5944 6688 6752 8018 8173 8192 9284 9728 11264 11888 13376 13504 14117 16036 16346 16384 18568 19456 22528 23776 26752 27008 28234 32072 32692 32768 37136 38912 44099 45056 47552 53504 54016 56468 64144 65384 65536 74272 77824 88198 90112 95104 107008 108032 112936 128288 130768 131072 148544 155287 155648 156773 176396 180224 190208 214016 216064 225872 256576 261536 262144 297088 310574 311296 313546 352792 360448 380416 428032 432128 451744 513152 523072 524288 594176 621148 622592 627092 705584 720896 760832 856064 864256 903488 1026304 1046144 1048576 1188352 1242296 1245184 1254184 1411168 1441792 1521664 1712128 1724503 1728512 1806976 2052608 2092288 2097152 2376704 2484592 2490368 2508368 2822336 2883584 2978687 3043328 3424256 3449006 3457024 3613952 4105216 4184576 4194304 4753408 4969184 4980736 5016736 5644672 5767168 5957374 6086656 6848512 6898012 6914048 7227904 8210432 8369152 9506816 9938368 9961472 10033472 11289344 11534336 11914748 12173312 13697024 13796024 13828096 14455808 16420864 16738304 19013632 19876736 19922944 20066944 22578688 23068672 23829496 24346624 27394048 27592048 27656192 28911616 32765557 32841728 33476608 38027264 39753472 39845888 40133888 45157376 46137344 47658992 48693248 54788096 55184096 55312384 57823232 65531114 65683456 66953216 76054528 79506944 79691776 80267776 90314752 95317984 97386496 109576192 110368192 110624768 115646464 131062228 131366912 133906432 152109056 159013888 160535552 180629504 190635968 194772992 219152384 220736384 221249536 231292928 262124456 262733824 267812864 304218112 318027776 321071104 361259008 381271936 389545984 438304768 441472768 442499072 462585856 524248912 525467648 535625728 608436224 636055552 642142208 722518016 762543872 779091968 876609536 882945536 884998144 925171712 1048497824 1050935296 1071251456 1216872448 1272111104 1284284416 1445036032 1525087744 1558183936 1765891072 1850343424 2096995648 2101870592 2142502912 2433744896 2544222208 2568568832 2890072064 3050175488 3116367872 3531782144 3700686848 4193991296 4203741184 4285005824 4867489792 5088444416 5137137664 5780144128 6100350976 7063564288 7401373696 8387982592 8407482368 8570011648 9734979584 10176888832 10274275328 11560288256 12200701952 14127128576 14802747392 16775965184 16814964736 17140023296 20353777664 20548550656 23120576512 24401403904 28254257152 29605494784 33551930368 34280046592 40707555328 41097101312 46241153024 48802807808 56508514304 59210989568 67103860736 81415110656 82194202624 92482306048 97605615616 113017028608 134207721472 162830221312 164388405248 184964612096 195211231232 226034057216 268415442944 325660442624 328776810496 390422462464 452068114432 536830885888 651320885248 657553620992 780844924928 904136228864 1073661771776 1561689849856 1808272457728 2147323543552 3123379699712 3616544915456 4294647087104 6246759399424 7233089830912 8589294174208 12493518798848 17178588348416 34357176696832 68714353393664 137428706787328
• Sum of all divisors σ(n): 317548369175040
• Sum of proper divisors (its aliquot sum) s(n): 180119662387712
• 137428706787328 is an abundant number, because the sum of its proper divisors (180119662387712) is greater than itself. Its abundance is 42690955600384

Bases of 137428706787328

• Binary: 11111001111110110011101010000000000000000000000₂
• Hexadecimal: 0x7CFD9D400000
• Base-36: 1CPPVJPTDS

Squares and roots of 137428706787328

• 137428706787328 squared (137428706787328²) is 18886649449237373095021379584
• 137428706787328 cubed (137428706787328³) is 2595567809354292808857165722720931049111552
• The square root of 137428706787328 is 11722999.0526028791
• The cube root of 137428706787328 is 51605.0836771855

Scales and comparisons

• 137,428,706,787,328 seconds is equal to 4,369,807 years, 40 weeks, 4 days, 6 hours, 15 minutes, 28 seconds.
• To count from 1 to 137,428,706,787,328 would take you about ten million, nine hundred twenty-four thousand, five hundred nineteen 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 137428706787328 cubic inches would be around 4300.4 feet tall.

Recreational maths with 137428706787328

• 137428706787328 backwards is 823787607824731
• The number of decimal digits it has is: 15
• The sum of 137428706787328's digits is 73
• More coming soon!