46408141742211072

Names of 46408141742211072

• Cardinal: 46408141742211072 can be written as Forty-six quadrillion, four hundred eight trillion, one hundred forty-one billion, seven hundred forty-two million, two hundred eleven thousand and seventy-two.

Scientific notation

• Scientific notation: 4.6408141742211072 × 10¹⁶

Factors of 46408141742211072

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 9947

Divisors of 46408141742211072

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 281 288 384 432 512 562 576 768 843 864 1024 1124 1152 1536 1686 1728 2048 2248 2304 2529 3072 3372 3456 4096 4496 4608 5058 6144 6744 6912 7587 8192 8992 9216 9661 10116 12288 13488 13824 15174 16384 17984 18432 19322 20232 24576 26976 27648 28983 30348 32768 35968 36864 38644 40464 49152 53952 55296 57966 60696 65536 71936 73728 77288 80928 86949 98304 107904 110592 115932 121392 143872 147456 154576 161856 173898 196608 215808 221184 231864 242784 260847 287744 294912 309152 323712 347796 431616 442368 463728 485568 521694 575488 589824 618304 647424 695592 863232 884736 927456 971136 1043388 1150976 1236608 1294848 1391184 1726464 1769472 1854912 1942272 2086776 2301952 2473216 2589696 2714741 2782368 3452928 3709824 3884544 4173552 4603904 4946432 5179392 5429482 5564736 6905856 7419648 7769088 8144223 8347104 9207808 9892864 10358784 10858964 11129472 13811712 14839296 15538176 16288446 16694208 18415616 19785728 20717568 21717928 22258944 24432669 27623424 29678592 31076352 32576892 33388416 39571456 41435136 43435856 44517888 48865338 55246848 59357184 62152704 65153784 66776832 73298007 79142912 82870272 86871712 89035776 93334921 97730676 118714368 124305408 130307568 133553664 146596014 158285824 165740544 173743424 178071552 186669842 195461352 237428736 248610816 260615136 267107328 280004763 293192028 316571648 347486848 356143104 373339684 390922704 474857472 497221632 521230272 534214656 560009526 586384056 633143296 694973696 712286208 746679368 781845408 840014289 949714944 1042460544 1068429312 1120019052 1172768112 1389947392 1424572416 1493358736 1563690816 1680028578 1899429888 2084921088 2136858624 2240038104 2345536224 2520042867 2779894784 2849144832 2986717472 3127381632 3360057156 4169842176 4273717248 4480076208 4691072448 5040085734 5559789568 5698289664 5973434944 6254763264 6720114312 8339684352 8547434496 8960152416 9382144896 10080171468 11119579136 11946869888 12509526528 13440228624 16679368704 17094868992 17920304832 18764289792 20160342936 22239158272 23893739776 25019053056 26227112801 26880457248 33358737408 35840609664 37528579584 40320685872 44478316544 47787479552 50038106112 52454225602 53760914496 66717474816 71681219328 75057159168 78681338403 80641371744 88956633088 95574959104 100076212224 104908451204 107521828992 133434949632 143362438656 150114318336 157362676806 161282743488 177913266176 191149918208 200152424448 209816902408 215043657984 236044015209 266869899264 286724877312 300228636672 314725353612 322565486976 382299836416 400304848896 419633804816 430087315968 472088030418 533739798528 573449754624 600457273344 629450707224 645130973952 708132045627 764599672832 800609697792 839267609632 860174631936 944176060836 1146899509248 1200914546688 1258901414448 1290261947904 1416264091254 1529199345664 1601219395584 1678535219264 1720349263872 1888352121672 2293799018496 2401829093376 2517802828896 2580523895808 2832528182508 3058398691328 3357070438528 3440698527744 3776704243344 4587598036992 4803658186752 5035605657792 5161047791616 5665056365016 6116797382656 6714140877056 6881397055488 7553408486688 9175196073984 10071211315584 10322095583232 11330112730032 13428281754112 13762794110976 15106816973376 18350392147968 20142422631168 20644191166464 22660225460064 26856563508224 27525588221952 30213633946752 40284845262336 41288382332928 45320450920128 53713127016448 55051176443904 60427267893504 80569690524672 82576764665856 90640901840256 107426254032896 120854535787008 161139381049344 165153529331712 181281803680512 214852508065792 241709071574016 322278762098688 362563607361024 429705016131584 483418143148032 644557524197376 725127214722048 859410032263168 966836286296064 1289115048394752 1450254429444096 1718820064526336 1933672572592128 2578230096789504 2900508858888192 3867345145184256 5156460193579008 5801017717776384 7734690290368512 11602035435552768 15469380580737024 23204070871105536 46408141742211072
• Sum of all divisors σ(n): 138008181217073040
• Sum of proper divisors (its aliquot sum) s(n): 91600039474861968
• 46408141742211072 is an abundant number, because the sum of its proper divisors (91600039474861968) is greater than itself. Its abundance is 45191897732650896

Bases of 46408141742211072

• Binary: 10100100110111111111010110000011001110110000000000000000₂
• Hexadecimal: 0xA4DFF5833B0000
• Base-36: COYB9ZULMO0

Squares and roots of 46408141742211072

• 46408141742211072 squared (46408141742211072²) is 2153715619965153713151579399389184
• 46408141742211072 cubed (46408141742211072³) is 99949939763756847684093391222562809460706401845248
• The square root of 46408141742211072 is 215425490.0010931205
• The cube root of 46408141742211072 is 359361.3722469985

Scales and comparisons

• 46,408,141,742,211,072 seconds is equal to 1,475,635,357 years, 30 weeks, 6 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 46,408,141,742,211,072 would take you about four billion, four hundred twenty-six million, nine hundred six thousand and seventy-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 46408141742211072 cubic inches would be around 29946.8 feet tall.

Recreational maths with 46408141742211072

• 46408141742211072 backwards is 27011224714180464
• 46408141742211072 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 46408141742211072's digits is 54
• More coming soon!