21734735664018048

Names of 21734735664018048

• Cardinal: 21734735664018048 can be written as Twenty-one quadrillion, seven hundred thirty-four trillion, seven hundred thirty-five billion, six hundred sixty-four million, eighteen thousand and forty-eight.

Scientific notation

• Scientific notation: 2.1734735664018048 × 10¹⁶

Factors of 21734735664018048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 11028

Divisors of 21734735664018048

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 64 74 84 96 98 111 112 128 147 148 168 192 196 222 224 259 294 296 336 343 384 392 444 448 518 588 592 672 686 777 784 888 896 1029 1036 1176 1184 1344 1369 1372 1554 1568 1776 1813 2058 2072 2352 2368 2688 2738 2744 3108 3136 3552 3626 4107 4116 4144 4704 4736 5439 5476 5488 6216 6272 7104 7252 8214 8232 8288 9408 9583 10878 10952 10976 10979 12432 12691 14208 14504 16428 16464 16576 18816 19166 21756 21904 21952 21958 24864 25382 28749 29008 32856 32928 32937 33152 38073 38332 43512 43808 43904 43916 49728 50764 57498 58016 65712 65856 65874 67081 76146 76664 76853 87024 87616 87832 99456 101528 114996 116032 131424 131712 131748 134162 152292 153328 153706 174048 175232 175664 201243 203056 229992 230559 232064 262848 263496 268324 304584 306656 307412 348096 351328 402486 406112 406223 459984 461118 469567 525696 526992 536648 537971 609168 613312 614824 696192 702656 804972 812224 812446 919968 922236 939134 1053984 1073296 1075942 1218336 1218669 1226624 1229648 1405312 1408701 1609944 1613913 1624448 1624892 1839936 1844472 1878268 2107968 2146592 2151884 2436672 2437338 2459296 2817402 2843561 3219888 3227826 3249784 3679872 3688944 3756536 3765797 4215936 4293184 4303768 4873344 4874676 4918592 5634804 5687122 6439776 6455652 6499568 7377888 7513072 7531594 8530683 8586368 8607536 9749352 9837184 11269608 11297391 11374244 12879552 12911304 12999136 14755776 15026144 15030251 15063188 17061366 17215072 19498704 19904927 22539216 22594782 22748488 25759104 25822608 25998272 29511552 30052288 30060502 30126376 34122732 34430144 38997408 39809854 45078432 45090753 45189564 45496976 51645216 51996544 59714781 60104576 60121004 60252752 68245464 68860288 77994816 79619708 90156864 90181506 90379128 90993952 103290432 105211757 119429562 120242008 120505504 120538441 136490928 139334489 155989632 159239416 180313728 180363012 180758256 181987904 206580864 210423514 238859124 240484016 241011008 241076882 272981856 278668978 315635271 318478832 360726024 361516512 361615323 363975808 418003467 420847028 477718248 480968032 482022016 482153764 545963712 557337956 631270542 636957664 721452048 723033024 723230646 736482299 836006934 841694056 843769087 955436496 961936064 964307528 1091927424 1114675912 1262541084 1273915328 1442904096 1446066048 1446461292 1472964598 1672013868 1683388112 1687538174 1910872992 1923872128 1928615056 2209446897 2229351824 2525082168 2531307261 2547830656 2885808192 2892922584 2945929196 3344027736 3366776224 3375076348 3821745984 3857230112 4418893794 4458703648 4459922317 5050164336 5062614522 5155376093 5771616384 5785845168 5891858392 5906383609 6688055472 6733552448 6750152696 7643491968 7714460224 8837787588 8917407296 8919844634 10100328672 10125229044 10310752186 11571690336 11783716784 11812767218 13376110944 13379766951 13467104896 13500305392 15428920448 15466128279 17675575176 17719150827 17834814592 17839689268 20200657344 20250458088 20621504372 23143380672 23567433568 23625534436 26752221888 26759533902 27000610784 30932256558 31219456219 35351150352 35438301654 35679378536 40401314688 40500916176 41243008744 41344685263 46286761344 47134867136 47251068872 53504443776 53519067804 54001221568 61864513116 62438912438 70702300704 70876603308 71358757072 81001832352 82486017488 82689370526 93658368657 94269734272 94502137744 107038135608 108002443136 123729026232 124034055789 124877824876 141404601408 141753206616 142717514144 162003664704 164972034976 165017125729 165378741052 187316737314 189004275488 214076271216 218536193533 247458052464 248068111578 249755649752 282809202816 283506413232 285435028288 324007329408 329944069952 330034251458 330757482104 374633474628 378008550976 428152542432 437072387066 494916104928 495051377187 496136223156 499511299504 567012826464 570870056576 655608580599 659888139904 660068502916 661514964208 749266949256 756017101952 856305084864 874144774132 989832209856 990102754374 992272446312 999022599008 1134025652928 1155119880103 1311217161198 1320137005832 1323029928416 1498533898512 1529753354731 1712610169728 1748289548264 1979664419712 1980205508748 1984544892624 1998045198016 2268051305856 2310239760206 2622434322396 2640274011664 2646059856832 2997067797024 3059506709462 3465359640309 3496579096528 3960411017496 3969089785248 3996090396032 4589260064193 4620479520412 5244868644792 5280548023328 5292119713664 5994135594048 6119013418924 6930719280618 6993158193056 7920822034992 7938179570496 8085839160721 9178520128386 9240959040824 10489737289584 10561096046656 11988271188096 12238026837848 13861438561236 13986316386112 15841644069984 15876359140992 16171678321442 18357040256772 18481918081648 20979474579168 21122192093312 24257517482163 24476053675696 27722877122472 27972632772224 31683288139968 32343356642884 36714080513544 36963836163296 41958949158336 48515034964326 48952107351392 55445754244944 56600874125047 63366576279936 64686713285768 73428161027088 73927672326592 83917898316672 97030069928652 97904214702784 110891508489888 113201748250094 129373426571536 146856322054176 147855344653184 169802622375141 194060139857304 195808429405568 221783016979776 226403496500188 258746853143072 293712644108352 339605244750282 388120279714608 443566033959552 452806993000376 517493706286144 587425288216704 679210489500564 776240559429216 905613986000752 1034987412572288 1358420979001128 1552481118858432 1811227972001504 2716841958002256 3104962237716864 3622455944003008 5433683916004512 7244911888006016 10867367832009024 21734735664018048
• Sum of all divisors σ(n): 69202118421576000
• Sum of proper divisors (its aliquot sum) s(n): 47467382757557952
• 21734735664018048 is an abundant number, because the sum of its proper divisors (47467382757557952) is greater than itself. Its abundance is 25732647093539904

Bases of 21734735664018048

• Binary: 1001101001101111010000001111110100010100111001010000000₂
• Hexadecimal: 0x4D37A07E8A7280
• Base-36: 5Y0BJQ040AO

Squares and roots of 21734735664018048

• 21734735664018048 squared (21734735664018048²) is 472398734384738057914528069730304
• 21734735664018048 cubed (21734735664018048³) is 10267461619868955217011166453365558612964348526592
• The square root of 21734735664018048 is 147427052.0088428275
• The cube root of 21734735664018048 is 279073.1927033873

Scales and comparisons

• 21,734,735,664,018,048 seconds is equal to 691,097,364 years, 8 weeks, 3 days, 18 hours, 20 minutes, 48 seconds.
• To count from 1 to 21,734,735,664,018,048 would take you about two billion, seventy-three million, two hundred ninety-two thousand and ninety-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 21734735664018048 cubic inches would be around 23256.1 feet tall.

Recreational maths with 21734735664018048

• 21734735664018048 backwards is 84081046653743712
• The number of decimal digits it has is: 17
• The sum of 21734735664018048's digits is 69
• More coming soon!