513136402012608

Names of 513136402012608

• Cardinal: 513136402012608 can be written as Five hundred thirteen trillion, one hundred thirty-six billion, four hundred two million, twelve thousand, six hundred eight.

Scientific notation

• Scientific notation: 5.13136402012608 × 10¹⁴

Factors of 513136402012608

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 766

Divisors of 513136402012608

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 353 363 397 484 528 704 706 726 794 968 1056 1059 1191 1412 1452 1588 1936 2112 2118 2382 2824 2904 3176 3872 3883 4236 4367 4764 5648 5808 6352 7744 7766 8472 8734 9528 11296 11616 11649 12704 13101 15532 16944 17468 19056 22592 23232 23298 25408 26202 31064 33888 34936 38112 42713 46596 48037 52404 62128 67776 69872 76224 85426 93192 96074 104808 124256 128139 139744 140141 144111 157609 170852 186384 192148 209616 248512 256278 279488 280282 288222 315218 341704 372768 384296 419232 420423 472827 512556 560564 576444 630436 683408 745536 768592 838464 840846 945654 1025112 1121128 1152888 1260872 1366816 1537184 1541551 1681692 1733699 1891308 2050224 2242256 2305776 2521744 2733632 3074368 3083102 3363384 3467398 3782616 4100448 4484512 4611552 4624653 5043488 5201097 6166204 6726768 6934796 7565232 8200896 8969024 9223104 9249306 10086976 10402194 12332408 13453536 13869592 15130464 16957061 18498612 19070689 20804388 24664816 26907072 27739184 30260928 33914122 36997224 38141378 41608776 49329632 50871183 55478368 55635977 57212067 62570773 67828244 73994448 76282756 83217552 98659264 101742366 110956736 111271954 114424134 125141546 135656488 147988896 152565512 166435104 166907931 187712319 203484732 222543908 228848268 250283092 271312976 295977792 305131024 332870208 333815862 375424638 406969464 445087816 457696536 500566184 542625952 610262048 611995747 667631724 688278503 750849276 813938928 890175632 915393072 1001132368 1085251904 1220524096 1223991494 1335263448 1376557006 1501698552 1627877856 1780351264 1830786144 1835987241 2002264736 2064835509 2447982988 2670526896 2753114012 3003397104 3255755712 3560702528 3661572288 3671974482 4004529472 4129671018 4895965976 5341053792 5506228024 6006794208 6731953217 7343948964 7571063533 8259342036 9791931952 10682107584 11012456048 12013588416 13463906434 14687897928 15142127066 16518684072 19583863904 20195859651 22024912096 22087482869 22713190599 26927812868 29375795856 30284254132 33037368144 39167727808 40391719302 44049824192 44174965738 45426381198 53855625736 58751591712 60568508264 66074736288 66262448607 80783438604 88349931476 90852762396 107711251472 117503183424 121137016528 132149472576 132524897214 161566877208 176699862952 181705524792 215422502944 242274033056 242962311559 265049794428 323133754416 353399725904 363411049584 430845005888 484548066112 485924623118 530099588856 646267508832 706799451808 726822099168 728886934677 971849246236 1060199177712 1292535017664 1413598903616 1453644198336 1457773869354 1943698492472 2120398355424 2672585427149 2915547738708 3887396984944 4240796710848 5345170854298 5831095477416 7774793969888 8017756281447 10690341708596 11662190954832 15549587939776 16035512562894 21380683417192 23324381909664 32071025125788 42761366834384 46648763819328 64142050251576 85522733668768 128284100503152 171045467337536 256568201006304 513136402012608
• Sum of all divisors σ(n): 1500325381339680
• Sum of proper divisors (its aliquot sum) s(n): 987188979327072
• 513136402012608 is an abundant number, because the sum of its proper divisors (987188979327072) is greater than itself. Its abundance is 474052577314464

Bases of 513136402012608

• Binary: 1110100101011000111100000111101101001100111000000₂
• Hexadecimal: 0x1D2B1E0F699C0
• Base-36: 51W3LWYVUO

Squares and roots of 513136402012608

• 513136402012608 squared (513136402012608²) is 263308967070444851512990961664
• 513136402012608 cubed (513136402012608³) is 135113415980184351101624607014660682972659712
• The square root of 513136402012608 is 22652514.2536674723
• The cube root of 513136402012608 is 80059.1438690825

Scales and comparisons

• 513,136,402,012,608 seconds is equal to 16,316,150 years, 18 weeks, 23 hours, 56 minutes, 48 seconds.
• To count from 1 to 513,136,402,012,608 would take you about forty million, seven hundred ninety thousand, three hundred seventy-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 513136402012608 cubic inches would be around 6671.6 feet tall.

Recreational maths with 513136402012608

• 513136402012608 backwards is 806210204631315
• The number of decimal digits it has is: 15
• The sum of 513136402012608's digits is 42
• More coming soon!