13398718781952

Names of 13398718781952

• Cardinal: 13398718781952 can be written as Thirteen trillion, three hundred ninety-eight billion, seven hundred eighteen million, seven hundred eighty-one thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 1.3398718781952 × 10¹³

Factors of 13398718781952

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 53

Divisors of 13398718781952

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 48 49 54 56 63 64 72 82 84 96 98 108 112 123 126 128 144 147 164 168 189 192 196 216 224 246 252 256 287 288 294 328 336 343 369 378 384 392 432 441 448 492 504 512 574 576 588 656 672 686 738 756 768 784 861 864 882 896 984 1008 1029 1107 1148 1152 1176 1312 1323 1344 1372 1476 1512 1536 1568 1681 1722 1728 1764 1792 1968 2009 2016 2058 2214 2296 2304 2352 2583 2624 2646 2688 2744 2952 3024 3087 3136 3362 3444 3456 3528 3584 3936 4018 4032 4116 4428 4592 4608 4704 5043 5166 5248 5292 5376 5488 5904 6027 6048 6174 6272 6724 6888 6912 7056 7749 7872 8036 8064 8232 8856 9184 9261 9408 10086 10332 10496 10584 10752 10976 11767 11808 12054 12096 12348 12544 13448 13776 13824 14063 14112 15129 15498 15744 16072 16128 16464 17712 18081 18368 18522 18816 20172 20664 20992 21168 21952 23534 23616 24108 24192 24696 25088 26896 27552 28126 28224 30258 30996 31488 32144 32256 32928 35301 35424 36162 36736 37044 37632 40344 41328 42189 42336 43904 45387 47068 47232 48216 48384 49392 53792 54243 55104 56252 56448 60516 61992 62976 64288 65856 68921 70602 70848 72324 73472 74088 75264 80688 82369 82656 84378 84672 87808 90774 94136 94464 96432 96768 98784 105903 107584 108486 110208 112504 112896 121032 123984 126567 128576 131712 137842 141204 141696 144648 146944 148176 161376 164738 165312 168756 169344 175616 181548 188272 188928 192864 197568 206763 211806 215168 216972 220416 225008 225792 242064 247107 247968 253134 257152 263424 275684 282408 283392 289296 296352 317709 322752 329476 330624 337512 338688 363096 376544 379701 385728 395136 413526 423612 430336 433944 440832 450016 482447 484128 494214 495936 506268 514304 526848 551368 564816 566784 576583 578592 592704 620289 635418 645504 658952 661248 675024 677376 726192 741321 753088 759402 771456 790272 827052 847224 860672 867888 900032 964894 968256 988428 991872 1012536 1028608 1102736 1129632 1153166 1157184 1185408 1240578 1270836 1291008 1317904 1322496 1350048 1447341 1452384 1482642 1506176 1518804 1542912 1580544 1654104 1694448 1729749 1735776 1800064 1860867 1929788 1936512 1976856 1983744 2025072 2205472 2223963 2259264 2306332 2314368 2370816 2481156 2541672 2582016 2635808 2700096 2825761 2894682 2904768 2965284 3012352 3037608 3085824 3308208 3377129 3388896 3459498 3471552 3600128 3721734 3859576 3873024 3953712 3967488 4050144 4342023 4410944 4447926 4518528 4612664 4628736 4741632 4962312 5083344 5189247 5271616 5400192 5651522 5789364 5809536 5930568 6024704 6075216 6616416 6754258 6777792 6918996 6943104 7200256 7443468 7719152 7746048 7907424 8100288 8477283 8684046 8821888 8895852 9037056 9225328 9257472 9924624 10131387 10166688 10378494 10543232 10800384 11303044 11578728 11619072 11861136 12150432 13026069 13232832 13508516 13555584 13837992 13886208 14886936 15438304 15567741 15814848 16200576 16954566 17368092 17643776 17791704 18074112 18450656 19780327 19849248 20262774 20333376 20756988 21086464 21600768 22606088 23157456 23238144 23639903 23722272 24300864 25431849 26052138 26465664 27017032 27111168 27675984 27772416 29773872 30394161 30876608 31135482 31629696 32401152 33909132 34736184 35287552 35583408 36901312 39560654 39698496 40525548 40666752 41513976 42172928 45212176 46314912 47279806 47444544 48601728 50863698 52104276 52931328 54034064 54222336 55351968 59340981 59547744 60788322 61753216 62270964 63259392 64802304 67818264 69472368 70919709 71166816 73802624 76295547 79121308 79396992 81051096 81333504 83027952 90424352 91182483 92629824 94559612 94889088 97203456 101727396 104208552 105862656 108068128 110703936 118681962 119095488 121576644 123506432 124541928 126518784 135636528 138462289 138944736 141839418 142333632 147605248 152591094 158242616 158793984 162102192 162667008 166055904 178022943 180848704 182364966 185259648 189119224 189778176 194406912 203454792 208417104 212759127 216136256 221407872 237363924 238190976 243153288 247012864 249083856 271273056 276924578 277889472 283678836 284667264 295210496 305182188 316485232 317587968 324204384 332111808 356045886 361697408 364729932 370519296 378238448 379556352 406909584 415386867 416834208 425518254 432272512 442815744 474727848 476381952 486306576 498167712 534068829 542546112 553849156 555778944 567357672 569334528 610364376 632970464 638277381 648408768 664223616 712091772 723394816 729459864 741038592 756476896 813819168 830773734 833668416 851036508 864545024 885631488 949455696 952763904 969236023 972613152 996335424 1068137658 1085092224 1107698312 1111557888 1134715344 1138669056 1220728752 1246160601 1265940928 1276554762 1296817536 1328447232 1424183544 1446789632 1458919728 1512953792 1627638336 1661547468 1667336832 1702073016 1729090048 1898911392 1938472046 1945226304 1992670848 2136275316 2170184448 2215396624 2223115776 2269430688 2441457504 2492321202 2531881856 2553109524 2593635072 2656894464 2848367088 2907708069 2917839456 3025907584 3255276672 3323094936 3334673664 3404146032 3738481803 3797822784 3876944092 3890452608 3985341696 4272550632 4340368896 4430793248 4538861376 4882915008 4984642404 5063763712 5106219048 5187270144 5696734176 5815416138 5835678912 6051815168 6510553344 6646189872 6669347328 6808292064 7476963606 7595645568 7753888184 7780905216 7970683392 8545101264 8723124207 8861586496 9077722752 9765830016 9969284808 10127527424 10212438096 11393468352 11630832276 11671357824 12103630336 13021106688 13292379744 13616584128 14953927212 15191291136 15507776368 15561810432 17090202528 17446248414 17723172992 18155445504 19531660032 19938569616 20424876192 22786936704 23261664552 23342715648 26169372621 26584759488 27233168256 29907854424 30382582272 31015552736 34180405056 34892496828 35446345984 36310891008 39063320064 39877139232 40849752384 45573873408 46523329104 46685431296 52338745242 53169518976 54466336512 59815708848 62031105472 68360810112 69784993656 70892691968 79754278464 81699504768 91147746816 93046658208 104677490484 106339037952 108932673024 119631417696 124062210944 136721620224 139569987312 159508556928 163399009536 186093316416 209354980968 212678075904 239262835392 248124421888 273443240448 279139974624 319017113856 326798019072 372186632832 418709961936 478525670784 496248843776 558279949248 638034227712 744373265664 837419923872 957051341568 1116559898496 1488746531328 1674839847744 1914102683136 2233119796992 3349679695488 4466239593984 6699359390976 13398718781952
• Sum of all divisors σ(n): 47408357040000
• Sum of proper divisors (its aliquot sum) s(n): 34009638258048
• 13398718781952 is an abundant number, because the sum of its proper divisors (34009638258048) is greater than itself. Its abundance is 20610919476096

Bases of 13398718781952

• Binary: 11000010111110100001110111111001101000000000₂
• Hexadecimal: 0xC2FA1DF9A00
• Base-36: 4QZAB7UO0

Squares and roots of 13398718781952

• 13398718781952 squared (13398718781952²) is 179525664997833286520930304
• 13398718781952 cubed (13398718781952³) is 2405413899448891613492880302564765073408
• The square root of 13398718781952 is 3660426.0383119341
• The cube root of 13398718781952 is 23751.3203517563

Scales and comparisons

• 13,398,718,781,952 seconds is equal to 426,037 years, 42 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 13,398,718,781,952 would take you about one million, sixty-five thousand and ninety-four 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 13398718781952 cubic inches would be around 1979.3 feet tall.

Recreational maths with 13398718781952

• 13398718781952 backwards is 25918781789331
• 13398718781952 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13398718781952's digits is 72
• More coming soon!