138310964064

Names of 138310964064

• Cardinal: 138310964064 can be written as One hundred thirty-eight billion, three hundred ten million, nine hundred sixty-four thousand and sixty-four.

Scientific notation

• Scientific notation: 1.38310964064 × 10¹¹

Factors of 138310964064

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 354

Divisors of 138310964064

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 43 48 49 52 56 63 72 78 84 86 89 91 96 98 104 112 117 126 129 144 147 156 168 172 178 182 196 197 208 224 234 252 258 267 273 288 294 301 312 336 344 356 364 387 392 394 416 441 468 504 516 534 546 559 588 591 602 623 624 637 672 688 712 728 774 784 788 801 819 882 903 936 1008 1032 1068 1092 1118 1157 1176 1182 1204 1246 1248 1274 1376 1379 1424 1456 1548 1568 1576 1602 1638 1677 1764 1773 1806 1869 1872 1911 2016 2064 2107 2136 2184 2236 2314 2352 2364 2408 2492 2548 2561 2709 2758 2848 2912 3096 3152 3204 3276 3354 3471 3528 3546 3612 3738 3744 3822 3827 3913 4128 4137 4214 4272 4361 4368 4472 4628 4704 4728 4816 4984 5031 5096 5122 5418 5516 5607 5733 6192 6304 6321 6408 6552 6708 6942 7056 7092 7224 7476 7644 7654 7683 7826 8099 8274 8428 8471 8544 8722 8736 8944 9256 9456 9632 9653 9968 10062 10192 10244 10413 10836 11032 11214 11466 11481 11739 12384 12411 12642 12816 13083 13104 13416 13884 14112 14184 14448 14952 15288 15308 15366 15652 16198 16548 16856 16942 17444 17533 17888 17927 18512 18912 18963 19306 19936 20124 20384 20488 20826 21672 22064 22428 22932 22962 23049 23478 24297 24822 25284 25413 25632 26166 26208 26789 26832 27391 27768 28368 28896 28959 29904 30576 30616 30732 31304 32396 33096 33712 33884 34443 34888 35066 35217 35854 37024 37926 38612 39249 40248 40976 41652 43344 44128 44856 45864 45924 46098 46956 48594 49644 49751 50568 50826 52332 52599 53578 53664 53781 54782 55536 56693 56736 57918 59297 59808 61152 61232 61464 62608 64792 66192 67424 67768 68886 69776 70132 70434 71708 72891 75852 76239 77224 78498 80367 80496 81952 82173 83304 86688 86877 89712 91728 91848 92196 93912 97188 99288 99502 101136 101652 104664 105198 107156 107562 109564 110123 111072 113386 115836 118594 122464 122731 122928 125216 125489 129584 132384 135536 137772 139552 140264 140868 143416 145782 149253 151704 152478 154448 156996 157797 160734 160992 161343 164346 166608 170079 173754 177891 179424 183456 183696 184392 187523 187824 194376 198576 199004 202272 203304 209328 210396 214312 215124 219128 220246 226772 227929 231672 237188 241101 245462 245856 246519 250978 259168 271072 275544 280528 281736 286832 291564 298506 303408 304956 308896 313992 315594 321468 322686 328692 330369 333216 340158 347508 348257 355782 367392 368193 368784 375046 375648 376467 388752 397152 398008 406608 415079 418656 420792 428624 430248 438256 440492 447759 453544 455858 463344 474376 482202 490924 493038 501956 510237 533673 551088 561056 562569 563472 573664 583128 597012 606816 609912 627984 631188 642936 645372 657384 660738 680316 683787 695016 696514 711564 736386 737568 750092 752934 753919 770861 777504 796016 813216 830158 841584 857248 859117 860496 876512 880984 895518 907088 911716 926688 948752 964404 981848 986076 991107 1003912 1020474 1044771 1067346 1102176 1104579 1125138 1126944 1129401 1166256 1194024 1219824 1245237 1255968 1262376 1285872 1290744 1314768 1321476 1360632 1367574 1390032 1393028 1423128 1472772 1500184 1505868 1507838 1541722 1592032 1595503 1660316 1683168 1687707 1718234 1720992 1761968 1791036 1814176 1823432 1897504 1928808 1963696 1972152 1982214 2007824 2040948 2051361 2089542 2134692 2209158 2250276 2258802 2261757 2312583 2332512 2388048 2437799 2439648 2490474 2524752 2571744 2577351 2581488 2629536 2642952 2721264 2735148 2780064 2786056 2846256 2945544 3000368 3011736 3015676 3083444 3134313 3191006 3320632 3375414 3436468 3523936 3582072 3646864 3735711 3857616 3927392 3944304 3964428 4015648 4081896 4102722 4179084 4269384 4418316 4500552 4517604 4523514 4625166 4776096 4786509 4875598 4980948 5049504 5154702 5162976 5277433 5285904 5396027 5442528 5470296 5572112 5692512 5891088 6000736 6023472 6031352 6166888 6268626 6382012 6641264 6750828 6785271 6872936 6937749 7164144 7293728 7313397 7471422 7715232 7732053 7888608 7928856 8163792 8205444 8358168 8538768 8836632 9001104 9035208 9047028 9250332 9573018 9751196 9800947 9961896 10309404 10554866 10571808 10792054 10940592 11144224 11168521 11782176 12046944 12062704 12333776 12537252 12764024 13282528 13501656 13570542 13745872 13875498 14328288 14359527 14626794 14942844 15464106 15832299 15857712 16188081 16327584 16410888 16716336 17077536 17673264 18002208 18070416 18094056 18500664 19146036 19502392 19601894 19923792 20618808 21109732 21584108 21881184 21940191 22337042 24125408 24667552 25074504 25528048 27003312 27141084 27491744 27750996 28719054 29253588 29402841 29885688 30928212 31664598 31715424 32376162 32821776 33432672 33505563 35346528 36140832 36188112 36942031 37001328 38292072 39004784 39203788 39847584 41237616 42219464 43168216 43880382 44674084 47496897 48564243 50149008 51056096 54006624 54282168 55501992 57438108 58507176 58805682 59771376 61856424 63329196 64752324 65643552 67011126 68606629 72376224 73884062 74002656 76584144 78009568 78407576 82475232 84438928 86336432 87760764 88208523 89348168 94993794 97128486 100298016 100516689 108564336 110826093 111003984 114876216 117014352 117611364 119542752 123712848 126658392 129504648 134022252 137213258 147768124 153168288 156815152 168877856 172672864 175521528 176417046 178696336 189987588 194256972 201033378 205819887 217128672 221652186 222007968 229752432 234028704 235222728 247425696 253316784 259009296 268044504 274426516 295536248 313630304 332478279 351043056 352834092 357392672 379975176 388513944 402066756 411639774 443304372 459504864 470445456 480246403 506633568 518018592 536089008 548853032 591072496 617459661 664956558 702086112 705668184 759950352 777027888 804133512 823279548 886608744 940890912 960492806 1072178016 1097706064 1182144992 1234919322 1329913116 1411336368 1440739209 1519900704 1554055776 1608267024 1646559096 1773217488 1920985612 2195412128 2469838644 2659826232 2822672736 2881478418 3216534048 3293118192 3546434976 3841971224 4322217627 4939677288 5319652464 5762956836 6586236384 7683942448 8644435254 9879354576 10639304928 11525913672 15367884896 17288870508 19758709152 23051827344 34577741016 46103654688 69155482032 138310964064
• Sum of all divisors σ(n): 512444892960
• Sum of proper divisors (its aliquot sum) s(n): 374133928896
• 138310964064 is an abundant number, because the sum of its proper divisors (374133928896) is greater than itself. Its abundance is 235822964832

Bases of 138310964064

• Binary: 10000000110011111110011101001101100000₂
• Hexadecimal: 0x2033F9D360
• Base-36: 1RJERYW0

Squares and roots of 138310964064

• 138310964064 squared (138310964064²) is 19129922780313099396096
• 138310964064 cubed (138310964064³) is 2645878062214980057241893957894144
• The square root of 138310964064 is 371901.8204634121
• The cube root of 138310964064 is 5171.5278700095

Scales and comparisons

• 138,310,964,064 seconds is equal to 4,397 years, 44 weeks, 5 days, 8 hours, 14 minutes, 24 seconds.
• To count from 1 to 138,310,964,064 would take you about eight thousand, seven hundred ninety-five 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 138310964064 cubic inches would be around 431 feet tall.

Recreational maths with 138310964064

• 138310964064 backwards is 460469013831
• The number of decimal digits it has is: 12
• The sum of 138310964064's digits is 45
• More coming soon!