137945418800

Names of 137945418800

• Cardinal: 137945418800 can be written as One hundred thirty-seven billion, nine hundred forty-five million, four hundred eighteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.379454188 × 10¹¹

Factors of 137945418800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1378

Divisors of 137945418800

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 19 20 25 28 34 35 38 40 50 56 68 70 76 80 85 95 100 112 119 127 133 136 140 152 170 175 190 200 238 254 266 272 280 304 323 340 350 380 400 425 475 476 508 532 560 595 635 646 665 680 700 760 850 889 950 952 1016 1064 1190 1201 1270 1292 1330 1360 1400 1520 1615 1700 1778 1900 1904 2032 2128 2159 2261 2380 2402 2413 2540 2584 2660 2800 2975 3175 3230 3325 3400 3556 3800 4318 4445 4522 4760 4804 4826 5080 5168 5320 5950 6005 6350 6460 6650 6800 7112 7600 8075 8407 8636 8890 9044 9520 9608 9652 10160 10640 10795 11305 11900 12010 12065 12700 12920 13300 14224 15113 16150 16814 16891 17272 17780 18088 19216 19304 20417 21590 22225 22610 22819 23800 24020 24130 25400 25840 26600 30025 30226 32300 33628 33782 34544 35560 36176 38608 40834 41021 42035 43180 44450 45220 45638 47600 48040 48260 50800 53200 53975 56525 60050 60325 60452 64600 67256 67564 71120 75565 81668 82042 84070 84455 86360 88900 90440 91276 96080 96520 102085 107950 113050 114095 120100 120650 120904 129200 134512 135128 142919 151130 152527 159733 163336 164084 168140 168910 172720 177800 180880 182552 193040 204170 205105 210175 215900 226100 228190 240200 241300 241808 270256 285838 287147 302260 305054 319466 326672 328168 336280 337820 355600 365104 377825 387923 408340 410210 420350 422275 431800 452200 456380 480400 482600 510425 570475 571676 574294 604520 610108 638932 656336 672560 675640 714595 755650 762635 775846 798665 816680 820420 840700 844550 863600 904400 912760 965200 1020850 1025525 1067689 1140950 1143352 1148588 1209040 1220216 1277864 1351280 1429190 1435735 1511300 1525270 1551692 1597330 1633360 1640840 1681400 1689100 1825520 1939615 2041700 2051050 2135378 2281900 2286704 2297176 2440432 2555728 2592959 2715461 2858380 2871470 2898013 3022600 3050540 3103384 3194660 3281680 3362800 3378200 3572975 3813175 3879230 3993325 4083400 4102100 4270756 4563800 4594352 5185918 5338445 5430922 5716760 5742940 5796026 6045200 6101080 6206768 6389320 6756400 7145950 7178675 7626350 7758460 7986650 8166800 8204200 8541512 9127600 9698075 10371836 10676890 10861844 11433520 11485880 11592052 12202160 12778640 12964795 13577305 14291900 14357350 14490065 15252700 15516920 15973300 16408400 17083024 18150713 19396150 20286091 20743672 21353780 21723688 22971760 23184104 25929590 26692225 27154610 28583800 28714700 28980130 30505400 31033840 31946600 36301426 38792300 40572182 41487344 42707560 43447376 46368208 49266221 51859180 53384450 54309220 57167600 57429400 57960260 61010800 63893200 64823975 67886525 72450325 72602852 77584600 81144364 85415120 90753565 98532442 101430455 103718360 106768900 108618440 114858800 115920520 129647950 135773050 144900650 145205704 155169200 162288728 181507130 197064884 202860910 207436720 213537800 217236880 231841040 246331105 259295900 271546100 289801300 290411408 324577456 344863547 363014260 394129768 405721820 427075600 453767825 492662210 507152275 518591800 543092200 579602600 689727094 726028520 788259536 811443640 907535650 985324420 1014304550 1037183600 1086184400 1159205200 1231655525 1379454188 1452057040 1622887280 1724317735 1815071300 1970648840 2028609100 2463311050 2758908376 3448635470 3630142600 3941297680 4057218200 4926622100 5517816752 6897270940 7260285200 8114436400 8621588675 9853244200 13794541880 17243177350 19706488400 27589083760 34486354700 68972709400 137945418800
• Sum of all divisors σ(n): 425824174080
• Sum of proper divisors (its aliquot sum) s(n): 287878755280
• 137945418800 is an abundant number, because the sum of its proper divisors (287878755280) is greater than itself. Its abundance is 149933336480

Bases of 137945418800

• Binary: 10000000011110001100000000110000110000₂
• Hexadecimal: 0x201E300C30
• Base-36: 1RDD52CW

Squares and roots of 137945418800

• 137945418800 squared (137945418800²) is 19028938567907393440000
• 137945418800 cubed (137945418800³) is 2624954900069457627697172672000000
• The square root of 137945418800 is 371410.0413289871
• The cube root of 137945418800 is 5166.9678666353

Scales and comparisons

• 137,945,418,800 seconds is equal to 4,386 years, 12 weeks, 2 days, 11 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,945,418,800 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 137945418800 cubic inches would be around 430.6 feet tall.

Recreational maths with 137945418800

• 137945418800 backwards is 008814549731
• 137945418800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137945418800's digits is 50
• More coming soon!