137942372736

Names of 137942372736

• Cardinal: 137942372736 can be written as One hundred thirty-seven billion, nine hundred forty-two million, three hundred seventy-two thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 1.37942372736 × 10¹¹

Factors of 137942372736

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 582

Divisors of 137942372736

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 79 81 84 96 98 108 112 126 128 144 147 158 162 168 189 192 196 216 224 237 252 288 294 316 324 336 343 378 384 392 432 441 448 474 491 504 553 567 576 588 632 648 672 686 711 756 784 864 882 896 948 982 1008 1029 1106 1134 1152 1176 1264 1296 1323 1344 1372 1422 1473 1512 1568 1659 1728 1764 1896 1964 2016 2058 2133 2212 2268 2352 2528 2592 2646 2688 2744 2844 2946 3024 3087 3136 3318 3437 3456 3528 3792 3871 3928 3969 4032 4116 4266 4419 4424 4536 4704 4977 5056 5184 5292 5488 5688 5892 6048 6174 6272 6399 6636 6874 7056 7584 7742 7856 7938 8064 8232 8532 8838 8848 9072 9261 9408 9954 10112 10311 10368 10584 10976 11376 11613 11784 12096 12348 12798 13257 13272 13748 14112 14931 15168 15484 15712 15876 16464 17064 17676 17696 18144 18522 18816 19908 20622 21168 21952 22752 23226 23568 24059 24192 24696 25596 26514 26544 27097 27496 27783 28224 29862 30336 30933 30968 31424 31752 32928 34128 34839 35352 35392 36288 37044 38789 39771 39816 41244 42336 43904 44793 45504 46452 47136 48118 49392 51192 53028 53088 54194 54992 55566 56448 59724 61866 61936 62848 63504 65856 68256 69678 70704 70784 72177 72576 74088 77578 79542 79632 81291 82488 84672 89586 91008 92799 92904 94272 96236 98784 102384 104517 106056 106176 108388 109984 111132 116367 119448 123732 123872 127008 131712 136512 139356 141408 144354 148176 155156 159084 159264 162582 164976 168413 169344 179172 185598 185808 188544 192472 197568 204768 209034 212112 212352 216531 216776 219968 222264 232734 238896 243873 247464 247744 254016 271523 273024 278397 278712 282816 288708 296352 310312 313551 318168 318528 325164 329952 336826 349101 358344 371196 371616 384944 395136 409536 418068 424224 433062 433552 439936 444528 465468 477792 487746 494928 495488 505239 508032 543046 556794 557424 565632 577416 592704 620624 627102 636336 637056 649593 650328 659904 673652 698202 716688 731619 742392 743232 769888 814569 819072 836136 848448 866124 867104 889056 930936 955584 975492 989856 1010478 1047303 1086092 1113588 1114848 1154832 1185408 1241248 1254204 1272672 1299186 1300656 1319808 1347304 1396404 1433376 1463238 1484784 1486464 1515717 1539776 1629138 1672272 1696896 1732248 1734208 1778112 1861872 1900661 1911168 1948779 1950984 1979712 2020956 2094606 2172184 2194857 2227176 2229696 2309664 2443707 2482496 2508408 2545344 2598372 2601312 2694608 2792808 2866752 2926476 2969568 3031434 3079552 3141909 3258276 3344544 3464496 3468416 3556224 3723744 3801322 3897558 3901968 3959424 4041912 4189212 4344368 4389714 4454352 4459392 4547151 4619328 4887414 4964992 5016816 5090688 5196744 5202624 5389216 5585616 5701983 5733504 5852952 5939136 6062868 6283818 6516552 6689088 6928992 7331121 7447488 7602644 7795116 7803936 8083824 8378424 8688736 8779428 8908704 9094302 9238656 9774828 10033632 10393488 10405248 10778432 11171232 11403966 11705904 11878272 12125736 12567636 13033104 13304627 13378176 13641453 13857984 14662242 14894976 15205288 15590232 15607872 16167648 16756848 17105949 17377472 17558856 17817408 18188604 19549656 20067264 20786976 21556864 21993363 22342464 22807932 23411808 24251472 25135272 26066208 26609254 27282906 27715968 29324484 30410576 31180464 31215744 32335296 33513696 34211898 34754944 35117712 35634816 36377208 39099312 39913881 40134528 41573952 43986726 44684928 45615864 46823616 48502944 50270544 51317847 52132416 53218508 54565812 58648968 60821152 62360928 64670592 67027392 68423796 70235424 72754416 78198624 79827762 83147904 87973452 91231728 93647232 97005888 100541088 102635694 104264832 106437016 109131624 117297936 119741643 121642304 124721856 134054784 136847592 140470848 145508832 153953541 156397248 159655524 175946904 182463456 194011776 201082176 205271388 212874032 218263248 234595872 239483286 243284608 249443712 273695184 280941696 291017664 307907082 312794496 319311048 351893808 359224929 364926912 402164352 410542776 425748064 436526496 469191744 478966572 547390368 582035328 615814164 638622096 703787616 718449858 729853824 821085552 851496128 873052992 938383488 957933144 1077674787 1094780736 1231628328 1277244192 1407575232 1436899716 1642171104 1702992256 1746105984 1915866288 2155349574 2189561472 2463256656 2554488384 2815150464 2873799432 3284342208 3831732576 4310699148 4926513312 5108976768 5747598864 6568684416 7663465152 8621398296 9853026624 11495197728 15326930304 17242796592 19706053248 22990395456 34485593184 45980790912 68971186368 137942372736
• Sum of all divisors σ(n): 485781120000
• Sum of proper divisors (its aliquot sum) s(n): 347838747264
• 137942372736 is an abundant number, because the sum of its proper divisors (347838747264) is greater than itself. Its abundance is 209896374528

Bases of 137942372736

• Binary: 10000000011110000000011001000110000000₂
• Hexadecimal: 0x201E019180
• Base-36: 1RDBBS00

Squares and roots of 137942372736

• 137942372736 squared (137942372736²) is 19028098196037556125696
• 137942372736 cubed (137942372736³) is 2624781013815021765345277699424256
• The square root of 137942372736 is 371405.9406310029
• The cube root of 137942372736 is 5166.9298346109

Scales and comparisons

• 137,942,372,736 seconds is equal to 4,386 years, 7 weeks, 2 days, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 137,942,372,736 would take you about eight thousand, seven hundred seventy-two 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 137942372736 cubic inches would be around 430.6 feet tall.

Recreational maths with 137942372736

• 137942372736 backwards is 637273249731
• 137942372736 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137942372736's digits is 54
• More coming soon!