137690629440

Names of 137690629440

• Cardinal: 137690629440 can be written as One hundred thirty-seven billion, six hundred ninety million, six hundred twenty-nine thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3769062944 × 10¹¹

Factors of 137690629440

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 461

Divisors of 137690629440

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 71 78 79 80 84 91 96 104 105 112 120 130 140 142 156 158 160 168 182 192 195 208 210 213 224 237 240 260 273 280 281 284 312 316 320 336 355 364 390 395 416 420 426 448 455 474 480 497 520 546 553 560 562 568 624 632 672 710 728 780 790 832 840 843 852 910 923 948 960 994 1027 1040 1065 1092 1106 1120 1124 1136 1185 1248 1264 1344 1365 1405 1420 1456 1491 1560 1580 1659 1680 1686 1704 1820 1846 1896 1967 1988 2054 2080 2130 2184 2212 2240 2248 2272 2370 2485 2496 2528 2730 2765 2769 2810 2840 2912 2982 3081 3120 3160 3318 3360 3372 3408 3640 3653 3692 3792 3934 3976 4108 4160 4215 4260 4368 4424 4496 4544 4615 4740 4970 5056 5135 5460 5530 5538 5609 5620 5680 5824 5901 5964 6162 6240 6320 6461 6636 6720 6744 6816 7189 7280 7306 7384 7455 7584 7868 7952 8216 8295 8430 8520 8736 8848 8992 9230 9480 9835 9940 10270 10920 10959 11060 11076 11218 11240 11360 11802 11928 12324 12480 12640 12922 13272 13488 13632 13845 14378 14560 14612 14768 14910 15168 15405 15736 15904 16432 16590 16827 16860 17040 17472 17696 17984 18265 18460 18960 19383 19670 19880 19951 20540 21567 21840 21918 22120 22152 22199 22436 22480 22720 23604 23856 24648 25280 25571 25844 26544 26976 27690 28045 28756 29120 29224 29505 29536 29820 30810 31472 31808 32305 32864 33180 33654 33720 34080 35392 35945 36530 36920 37920 38766 39263 39340 39760 39902 41080 43134 43680 43836 44240 44304 44398 44872 44960 47208 47712 49296 51142 51688 53088 53952 54795 55380 56090 57512 58448 59010 59072 59640 59853 61620 62944 64610 65728 66360 66597 67308 67440 68160 71890 72917 73060 73840 75840 76713 77532 78526 78680 79520 79804 82160 84135 86268 87360 87672 88480 88608 88796 89744 89920 94416 95424 96915 98592 99755 102284 103376 106176 107835 109590 110760 110995 112180 115024 116896 117789 118020 119280 119706 123240 125888 127855 129220 132720 133194 134616 134880 139657 143780 145834 146120 147680 153426 155064 155393 157052 157360 159040 159608 164320 168270 172536 175344 176960 177216 177592 179488 188832 193830 196315 197184 199510 204568 206752 215670 218751 219180 221520 221990 224360 230048 233792 235578 236040 238560 239412 246480 255710 258440 259363 265440 266388 269232 269760 279314 287560 288587 291668 292240 295360 299265 306852 310128 310786 314104 314720 319216 328640 332985 336540 345072 350688 355184 358976 364585 377664 383565 387660 392630 399020 409136 413504 418971 431340 437502 438360 443040 443980 448720 460096 466179 471156 472080 477120 478824 492960 510419 511420 516880 518726 530880 532776 538464 558628 575120 577174 583336 584480 588945 598530 613704 620256 621572 628208 629440 638432 665970 673080 690144 698285 701376 710368 729170 767130 775320 776965 778089 785260 798040 818272 837942 862680 865761 875004 876720 886080 887960 897440 932358 942312 944160 957648 985920 1020838 1022840 1033760 1037452 1065552 1076928 1093755 1117256 1150240 1154348 1166672 1168960 1177890 1197060 1227408 1240512 1243144 1256416 1276864 1296815 1331940 1346160 1380288 1396570 1420736 1442935 1458340 1531257 1534260 1550640 1553930 1556178 1570520 1576129 1596080 1636544 1675884 1725360 1731522 1750008 1753440 1775920 1794880 1815541 1864716 1884624 1888320 1915296 2020109 2041676 2045680 2067520 2074904 2094855 2131104 2187510 2234512 2300480 2308696 2330895 2333344 2355780 2394120 2454816 2486288 2512832 2552095 2593630 2663880 2692320 2793140 2885870 2916680 3062514 3068520 3101280 3107860 3112356 3141040 3152258 3192160 3351768 3450720 3463044 3500016 3506880 3551840 3631082 3729432 3769248 3830592 3890445 4040218 4083352 4091360 4149808 4189710 4262208 4328805 4375020 4469024 4617392 4661790 4666688 4711560 4728387 4788240 4909632 4972576 5104190 5187260 5327760 5384640 5446623 5586280 5771740 5833360 6060327 6125028 6137040 6202560 6215720 6224712 6282080 6304516 6384320 6703536 6901440 6926088 7000032 7103680 7262164 7458864 7538496 7656285 7780890 7880645 8080436 8166704 8182720 8299616 8379420 8657610 8750040 8938048 9077705 9234784 9323580 9423120 9456774 9576480 9945152 10100545 10208380 10374520 10655520 10893246 11032903 11172560 11543480 11666720 12120654 12250056 12274080 12431440 12449424 12564160 12609032 13407072 13852176 14000064 14524328 14917728 15312570 15561780 15761290 16160872 16333408 16599232 16758840 17315220 17500080 18155410 18469568 18647160 18846240 18913548 19152960 20201090 20416760 20489677 20749040 21311040 21786492 22065806 22345120 23086960 23333440 23641935 24241308 24500112 24548160 24862880 24898848 25218064 26814144 27233115 27704352 29048656 29835456 30301635 30625140 31123560 31522580 32321744 32666816 33098709 33517680 34630440 35000160 36310820 37294320 37692480 37827096 40402180 40833520 40979354 41498080 43572984 44131612 44690240 46173920 47283870 48482616 49000224 49725760 49797696 50436128 54466230 55164515 55408704 58097312 60603270 61250280 61469031 62247120 63045160 64643488 66197418 67035360 69260880 70000320 72621640 74588640 75654192 80804360 81667040 81958708 82996160 87145968 88263224 92347840 94567740 96965232 98000448 100872256 102448385 108932460 110329030 116194624 121206540 122500560 122938062 124494240 126090320 129286976 132394836 134070720 138521760 143427739 145243280 149177280 151308384 161608720 163334080 163917416 165493545 174291936 176526448 189135480 193930464 204896770 217864920 220658060 242413080 245001120 245876124 248988480 252180640 264789672 277043520 286855478 290486560 302616768 307345155 323217440 327834832 330987090 348583872 353052896 378270960 387860928 409793540 430283217 435729840 441316120 484826160 490002240 491752248 504361280 529579344 573710956 580973120 614690310 646434880 655669664 661974180 706105792 717138695 756541920 819587080 860566434 871459680 882632240 969652320 983504496 1059158688 1147421912 1229380620 1311339328 1323948360 1434277390 1513083840 1639174160 1721132868 1742919360 1765264480 1939304640 1967008992 2118317376 2151416085 2294843824 2458761240 2647896720 2868554780 3278348320 3442265736 3530528960 3934017984 4302832170 4589687648 4917522480 5295793440 5737109560 6556696640 6884531472 8605664340 9179375296 9835044960 10591586880 11474219120 13769062944 17211328680 19670089920 22948438240 27538125888 34422657360 45896876480 68845314720 137690629440
• Sum of all divisors σ(n): 554503864320
• Sum of proper divisors (its aliquot sum) s(n): 416813234880
• 137690629440 is an abundant number, because the sum of its proper divisors (416813234880) is greater than itself. Its abundance is 279122605440

Bases of 137690629440

• Binary: 10000000001111000000000100010101000000₂
• Hexadecimal: 0x200F004540
• Base-36: 1R95G1MO

Squares and roots of 137690629440

• 137690629440 squared (137690629440²) is 18958709435583394713600
• 137690629440 cubed (137690629440³) is 2610436635555544751727552528384000
• The square root of 137690629440 is 371066.8800095207
• The cube root of 137690629440 is 5163.7847240771

Scales and comparisons

• 137,690,629,440 seconds is equal to 4,378 years, 7 weeks, 13 hours, 4 minutes.
• To count from 1 to 137,690,629,440 would take you about eight thousand, seven hundred fifty-six 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 137690629440 cubic inches would be around 430.3 feet tall.

Recreational maths with 137690629440

• 137690629440 backwards is 044926096731
• The number of decimal digits it has is: 12
• The sum of 137690629440's digits is 51
• More coming soon!