137975759040

Names of 137975759040

• Cardinal: 137975759040 can be written as One hundred thirty-seven billion, nine hundred seventy-five million, seven hundred fifty-nine thousand and forty.

Scientific notation

• Scientific notation: 1.3797575904 × 10¹¹

Factors of 137975759040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 8862

Divisors of 137975759040

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 136 139 140 160 168 170 192 204 210 224 238 240 255 272 278 280 320 336 340 357 408 417 420 448 476 480 510 544 556 560 595 672 680 695 714 816 834 840 952 960 973 1020 1088 1112 1120 1190 1344 1360 1390 1428 1632 1668 1680 1785 1904 1946 2040 2085 2224 2240 2363 2380 2720 2780 2856 2919 3264 3336 3360 3570 3808 3892 4080 4170 4448 4726 4760 4865 5440 5560 5712 5838 6672 6720 7089 7140 7616 7784 8160 8340 8689 8896 9452 9520 9730 11120 11424 11676 11815 13344 14178 14280 14595 15568 16320 16541 16680 17378 18904 19040 19460 22240 22848 23352 23630 26067 26688 28356 28560 29190 31136 33082 33360 34756 35445 37808 38080 38920 43445 44480 46704 47260 49623 52134 56712 57120 58380 60823 62272 66164 66720 69512 70890 75616 77840 82705 86890 93408 94520 99246 104268 113424 114240 116760 121646 130335 132328 133440 139024 141780 147713 151232 155680 165410 173780 182469 186816 189040 198492 208536 226848 233520 243292 248115 260670 264656 278048 283560 295426 304115 311360 330820 347560 364938 378080 396984 417072 443139 453696 467040 486584 496230 521340 529312 556096 567120 590852 608230 661640 695120 729876 738565 756160 793968 834144 886278 912345 934080 973168 992460 1033991 1042680 1058624 1134240 1181704 1207771 1216460 1323280 1390240 1459752 1477130 1587936 1668288 1772556 1824690 1946336 1984920 2067982 2085360 2215695 2268480 2363408 2415542 2432920 2646560 2780480 2919504 2954260 3101973 3175872 3545112 3623313 3649380 3892672 3969840 4135964 4170720 4431390 4726816 4831084 4865840 5169955 5293120 5839008 5908520 6038855 6203946 7090224 7246626 7298760 7939680 8271928 8341440 8454397 8862780 9453632 9662168 9731680 10339910 11678016 11817040 12077710 12407892 14180448 14493252 14597520 15509865 15879360 16543856 16908794 17725560 18116565 19324336 19463360 20532107 20679820 23634080 24155420 24815784 25363191 28360896 28986504 29195040 31019730 33087712 33817588 35451120 36233130 38648672 41064214 41359640 42271985 47268160 48310840 49631568 50726382 57973008 58390080 61596321 62039460 66175424 67635176 70902240 72466260 77297344 82128428 82719280 84543970 96621680 99263136 101452764 102660535 115946016 123192642 124078920 126815955 135270352 141804480 143724749 144932520 164256856 165438560 169087940 193243360 198526272 202905528 205321070 231892032 246385284 248157840 253631910 270540704 287449498 289865040 307981605 328513712 330877120 338175880 386486720 405811056 410642140 431174247 492770568 496315680 507263820 541081408 574898996 579730080 615963210 657027424 676351760 718623745 811622112 821284280 862348494 985541136 992631360 1014527640 1149797992 1159460160 1231926420 1314054848 1352703520 1437247490 1623244224 1642568560 1724696988 1971082272 2029055280 2155871235 2299595984 2463852840 2705407040 2874494980 3285137120 3449393976 3942164544 4058110560 4311742470 4599191968 4927705680 5748989960 6570274240 6898787952 8116221120 8623484940 9198383936 9855411360 11497979920 13797575904 17246969880 19710822720 22995959840 27595151808 34493939760 45991919680 68987879520 137975759040
• Sum of all divisors σ(n): 533980339200
• Sum of proper divisors (its aliquot sum) s(n): 396004580160
• 137975759040 is an abundant number, because the sum of its proper divisors (396004580160) is greater than itself. Its abundance is 258028821120

Bases of 137975759040

• Binary: 10000000011111111111110000000011000000₂
• Hexadecimal: 0x201FFF00C0
• Base-36: 1RDV7D1C

Squares and roots of 137975759040

• 137975759040 squared (137975759040²) is 19037310082664141721600
• 137975759040 cubed (137975759040³) is 2626687308735430099427892363264000
• The square root of 137975759040 is 371450.8837518091
• The cube root of 137975759040 is 5167.3466530535

Scales and comparisons

• 137,975,759,040 seconds is equal to 4,387 years, 10 weeks, 3 days, 15 hours, 44 minutes.
• To count from 1 to 137,975,759,040 would take you about eight thousand, seven hundred seventy-four 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 137975759040 cubic inches would be around 430.6 feet tall.

Recreational maths with 137975759040

• 137975759040 backwards is 040957579731
• The number of decimal digits it has is: 12
• The sum of 137975759040's digits is 57
• More coming soon!