137432607312

Names of 137432607312

• Cardinal: 137432607312 can be written as One hundred thirty-seven billion, four hundred thirty-two million, six hundred seven thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37432607312 × 10¹¹

Factors of 137432607312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 343

Divisors of 137432607312

• Number of divisors d(n): 600
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 49 52 56 66 77 78 84 88 91 98 104 112 121 132 143 147 154 156 168 176 182 196 208 231 242 264 273 286 294 307 308 312 336 363 364 392 429 462 484 528 539 546 572 588 614 616 624 637 726 728 784 847 858 921 924 968 1001 1078 1092 1144 1176 1228 1232 1274 1331 1452 1456 1573 1617 1694 1716 1842 1848 1911 1936 2002 2149 2156 2184 2288 2352 2456 2541 2548 2662 2904 3003 3146 3234 3377 3388 3432 3684 3696 3822 3991 3993 4004 4298 4312 4368 4719 4912 5082 5096 5324 5808 5929 6006 6292 6447 6468 6754 6776 6864 7007 7368 7644 7982 7986 8008 8596 8624 9317 9438 10131 10164 10192 10648 11011 11858 11973 12012 12584 12894 12936 13508 13552 14014 14641 14736 15043 15288 15964 15972 16016 17192 17303 17787 18634 18876 20262 20328 21021 21296 22022 23639 23716 23946 24024 25168 25788 25872 27016 27937 27951 28028 29282 30086 30576 31928 31944 33033 34384 34606 35574 37147 37268 37752 40524 40656 42042 43901 43923 44044 45129 47278 47432 47892 48048 51576 51909 54032 55874 55902 56056 58564 60172 63856 63888 65219 66066 69212 70917 71148 74294 74536 75504 77077 81048 83811 84084 87802 87846 88088 90258 94556 94864 95784 102487 103152 103818 111441 111748 111804 112112 117128 120344 121121 130438 131703 132132 138424 141834 142296 148588 149072 154154 162096 165473 167622 168168 175604 175692 176176 180516 189112 190333 191568 195559 195657 204974 207636 222882 223496 223608 231231 234256 240688 242242 260029 260876 263406 264264 276848 283668 284592 297176 307307 307461 308308 330946 335244 336336 351208 351384 361032 363363 378224 380666 391118 391314 408617 409948 415272 445764 446992 447216 462462 482911 484484 496419 520058 521752 526812 528528 567336 570999 586677 594352 614614 614922 616616 661892 670488 702416 702768 717409 722064 726726 761332 780087 782236 782628 817234 819896 830544 847847 891528 921921 924924 965822 968968 992838 1040116 1043504 1053624 1134672 1141998 1173354 1225851 1229228 1229844 1233232 1323784 1332331 1340976 1434818 1448733 1453452 1522664 1560174 1564472 1565256 1634468 1639792 1695694 1783056 1820203 1843842 1849848 1931644 1937936 1985676 2080232 2107248 2151149 2152227 2283996 2346708 2451702 2458456 2459688 2543541 2647568 2664662 2860319 2869636 2897466 2906904 3045328 3120348 3128944 3130512 3268936 3380377 3391388 3640406 3687684 3699696 3863288 3971352 3996993 4160464 4302298 4304454 4494787 4567992 4693416 4903404 4916912 4919376 5087082 5312021 5329324 5460609 5720638 5739272 5794932 5813808 6240696 6453447 6537872 6760754 6782776 7280812 7375368 7726576 7942704 7993986 8580957 8604596 8608908 8989574 9135984 9326317 9386832 9806808 10141131 10174164 10624042 10658648 10921218 11441276 11478544 11589864 12481392 12906894 13484361 13521508 13565552 14561624 14750736 15936063 15987972 17161914 17209192 17217816 17979148 18652634 19613616 20022233 20282262 20348328 21248084 21317296 21842436 22882552 23179728 23662639 25813788 26968722 27043016 27978951 29123248 31463509 31872126 31975944 34323828 34418384 34435632 35958296 37184147 37305268 40044466 40564524 40696656 42496168 43684872 45765104 47325278 51627576 53937444 54086032 55957902 58432231 60066699 62927018 63744252 63951888 68647656 70987917 71916592 74368294 74610536 80088932 81129048 84992336 87369744 94390527 94650556 103255152 107874888 111552441 111915804 116864462 120133398 125854036 127488504 137295312 141975834 148736588 149221072 160177864 162258096 175296693 188781054 189301112 215749776 220244563 223104882 223831608 233728924 240266796 251708072 254977008 260289029 283951668 297473176 320355728 350593386 377562108 378602224 409025617 440489126 446209764 447663216 467457848 480533592 503416144 520578058 567903336 594946352 660733689 701186772 755124216 780867087 818051234 880978252 892419528 934915696 961067184 1041156116 1135806672 1227076851 1321467378 1402373544 1510248432 1561734174 1636102468 1761956504 1784839056 2082312232 2454153702 2642934756 2804747088 2863179319 3123468348 3272204936 3523913008 4164624464 4908307404 5285869512 5726358638 6246936696 6544409872 8589537957 9816614808 10571739024 11452717276 12493873392 17179075914 19633229616 22905434552 34358151828 45810869104 68716303656 137432607312
• Sum of all divisors σ(n): 490835563680
• Sum of proper divisors (its aliquot sum) s(n): 353402956368
• 137432607312 is an abundant number, because the sum of its proper divisors (353402956368) is greater than itself. Its abundance is 215970349056

Bases of 137432607312

• Binary: 1111111111111100111110010101001010000₂
• Hexadecimal: 0x1FFF9F2A50
• Base-36: 1R4VTQHC

Squares and roots of 137432607312

• 137432607312 squared (137432607312²) is 18887721552574395865344
• 137432607312 cubed (137432607312³) is 2595788819153355909627458381795328
• The square root of 137432607312 is 370719.0409353153
• The cube root of 137432607312 is 5160.5571893955

Scales and comparisons

• 137,432,607,312 seconds is equal to 4,369 years, 48 weeks, 3 days, 4 hours, 15 minutes, 12 seconds.
• To count from 1 to 137,432,607,312 would take you about eight thousand, seven hundred thirty-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 137432607312 cubic inches would be around 430 feet tall.

Recreational maths with 137432607312

• 137432607312 backwards is 213706234731
• 137432607312 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137432607312's digits is 39
• More coming soon!