83509363144064

Names of 83509363144064

• Cardinal: 83509363144064 can be written as Eighty-three trillion, five hundred nine billion, three hundred sixty-three million, one hundred forty-four thousand and sixty-four.

Scientific notation

• Scientific notation: 8.3509363144064 × 10¹³

Factors of 83509363144064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 174

Divisors of 83509363144064

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 101 104 121 128 143 169 176 188 202 208 242 286 338 352 376 404 416 484 517 572 611 676 704 752 808 832 968 1034 1111 1144 1222 1313 1331 1352 1408 1504 1573 1616 1664 1859 1936 2068 2197 2209 2222 2288 2444 2626 2662 2704 3008 3146 3232 3718 3872 4136 4394 4418 4444 4576 4747 4888 5252 5324 5408 5687 6016 6292 6464 6721 7436 7744 7943 8272 8788 8836 8888 9152 9494 9776 10504 10648 10816 11374 12221 12584 12928 13442 14443 14872 15488 15886 16544 17069 17303 17576 17672 17776 18304 18988 19552 20449 21008 21296 21632 22748 24167 24299 24442 25168 26884 28717 28886 29744 31772 33088 34138 34606 35152 35344 35552 37976 39104 40898 42016 42592 45496 48334 48598 48884 50336 52217 53768 57434 57772 59488 61711 62557 63544 66176 68276 69212 70304 70688 71104 73931 75952 78208 81796 84032 85184 87373 90992 96668 97196 97768 100672 103259 104434 107536 114868 115544 118976 123422 125114 127088 134431 136552 138424 140608 141376 142208 147862 151904 158873 163592 168064 170368 174746 181984 187759 193336 194392 195536 201344 206518 208868 215072 221897 223109 224939 229736 231088 237952 246844 250228 254176 265837 267289 268862 273104 276848 281216 282752 295724 303808 315887 317746 327184 349492 363968 373321 375518 386672 388784 391072 413036 417736 430144 443794 446218 449878 459472 462176 493688 500456 508352 531674 534578 537724 546208 553696 574387 591448 607616 631774 635492 654368 678821 698984 727936 746642 751036 773344 777568 782144 802243 813241 826072 835472 860288 887588 892436 899756 918944 924352 961103 987376 1000912 1016704 1063348 1069156 1075448 1092416 1107392 1135849 1148774 1182896 1263548 1270984 1308736 1357642 1397968 1493284 1502072 1546688 1555136 1564288 1604486 1626482 1652144 1670944 1747603 1775176 1784872 1799512 1837888 1848704 1922206 1974752 2001824 2065349 2126696 2138312 2150896 2184832 2214784 2271698 2297548 2365792 2440867 2454199 2527096 2541968 2617472 2715284 2795936 2900417 2924207 2940179 2986568 3004144 3093376 3110272 3208972 3252964 3304288 3341888 3474757 3495206 3550352 3569744 3599024 3675776 3844412 3949504 4003648 4106531 4130698 4253392 4276624 4301792 4543396 4595096 4731584 4853173 4881734 4908398 5054192 5083936 5430568 5591872 5800834 5848414 5880358 5973136 6008288 6318257 6417944 6505928 6608576 6683776 6949514 6990412 7100704 7139488 7198048 7467031 7688824 7899008 8007296 8213062 8261396 8506784 8553248 8603584 8824673 9086792 9190192 9463168 9706346 9763468 9816796 10108384 10167872 10429159 10572133 10861136 11183744 11601668 11696828 11760716 11946272 12016576 12494339 12636514 12835888 13011856 13217152 13899028 13980824 14201408 14278976 14396096 14934062 15377648 16426124 16522792 17013568 17106496 17207168 17649346 18173584 18380384 19412692 19526936 19633592 20216768 20335744 20858318 21144266 21722272 22718839 23203336 23393656 23521432 23892544 24033152 24988678 25273028 25671776 26023712 26849537 26996189 27798056 27961648 28402816 28557952 28792192 29868124 30755296 31904587 32852248 33045584 34027136 34212992 35298692 36347168 36760768 37705421 38222327 38825384 39053872 39267184 40433536 41716636 42288532 43444544 45171841 45437678 46406672 46787312 47042864 47785088 49977356 50546056 51343552 52047424 53384903 53699074 53992378 55596112 55923296 59736248 61510592 63809174 65704496 66091168 70597384 72694336 73521536 75410842 76444654 77650768 78107744 78534368 82137341 83433272 84577064 86889088 90343682 90875356 92813344 93574624 94085728 97071403 99954712 101092112 102687104 104094848 106769806 107398148 107984756 111192224 111846592 114720749 119472496 123021184 127618348 131408992 132182336 137437729 141194768 145388672 150821684 152889308 155301536 156215488 157068736 164274682 166866544 169154128 180687364 181750712 185626688 187149248 188171456 194142806 199909424 202184224 213539612 214796296 215969512 222384448 223693184 229441498 238944992 255236696 262817984 264364672 274875458 282389536 295344907 296958079 301643368 305778616 310603072 312430976 314137472 328549364 333733088 338308256 350950457 361374728 363501424 371253376 374298496 376342912 388285612 399818848 404368448 414759631 427079224 429592592 431939024 444768896 458882996 477889984 490170473 496890251 510473392 525635968 549750916 564779072 587233933 590689814 593916158 603286736 611557232 621206144 657098728 667466176 676616512 701900914 722749456 727002848 776571224 799637696 808736896 829519262 854158448 859185184 863878048 917765992 955779968 980340946 993780502 1020946784 1067785433 1099501832 1129558144 1174467866 1181379628 1187832316 1206573472 1223114464 1261928239 1314197456 1334932352 1353233024 1403801828 1445498912 1454005696 1553142448 1599275392 1659038524 1708316896 1718370368 1727756096 1835531984 1960681892 1987561004 2041893568 2135570866 2199003664 2348935732 2362759256 2375664632 2413146944 2446228928 2523856478 2628394912 2807603656 2890997824 2908011392 3106284896 3318077048 3416633792 3436740736 3455512192 3671063968 3860455027 3921363784 3975122008 4083787136 4271141732 4398007328 4562355941 4697871464 4725518512 4751329264 4826293888 4892457856 5047712956 5256789824 5391875203 5615207312 5781995648 6212569792 6459573263 6636154096 6833267584 7342127936 7720910054 7842727568 7950244016 8542283464 8796014656 9124711882 9395742928 9451037024 9502658528 10095425912 10513579648 10783750406 11230414624 12425139584 12919146526 13272308192 13881210629 14684255872 15441820108 15685455136 15900488032 17084566928 17592029312 18249423764 18791485856 18902074048 19005317056 20190851824 21567500812 22460829248 25838293052 26544616384 27762421258 30883640216 31370910272 31800976064 34169133856 36498847528 37582971712 37804148096 38010634112 40381703648 43135001624 44921658496 50185915351 51676586104 53089232768 55524842516 59310627233 61767280432 62741820544 63601952128 68338267712 72997695056 75165943424 80763407296 86270003248 100371830702 103353172208 111049685032 118621254466 123534560864 136676535424 145995390112 161526814592 172540006496 200743661404 206706344416 222099370064 237242508932 247069121728 291990780224 345080012992 401487322808 413412688832 444198740128 474485017864 494138243456 583981560448 652416899563 690160025984 802974645616 826825377664 888397480256 948970035728 1304833799126 1605949291232 1776794960512 1897940071456 2609667598252 3211898582464 3795880142912 5219335196504 6423797164928 7591760285824 10438670393008 20877340786016 41754681572032 83509363144064
• Sum of all divisors σ(n): 204545507342400
• Sum of proper divisors (its aliquot sum) s(n): 121036144198336
• 83509363144064 is an abundant number, because the sum of its proper divisors (121036144198336) is greater than itself. Its abundance is 37526781054272

Bases of 83509363144064

• Binary: 10010111111001110001001111011001111010110000000₂
• Hexadecimal: 0x4BF389ECF580
• Base-36: TLNO6O1VK

Squares and roots of 83509363144064

• 83509363144064 squared (83509363144064²) is 6973813732727154763218436096
• 83509363144064 cubed (83509363144064³) is 582378743505372448670392252041467625734144
• The square root of 83509363144064 is 9138345.7553358091
• The cube root of 83509363144064 is 43709.7568476087

Scales and comparisons

• 83,509,363,144,064 seconds is equal to 2,655,339 years, 22 weeks, 4 days, 21 hours, 47 minutes, 44 seconds.
• To count from 1 to 83,509,363,144,064 would take you about six million, six hundred thirty-eight thousand, three hundred forty-eight 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 83509363144064 cubic inches would be around 3642.5 feet tall.

Recreational maths with 83509363144064

• 83509363144064 backwards is 46044136390538
• The number of decimal digits it has is: 14
• The sum of 83509363144064's digits is 56
• More coming soon!