45842488528128

Names of 45842488528128

• Cardinal: 45842488528128 can be written as Forty-five trillion, eight hundred forty-two billion, four hundred eighty-eight million, five hundred twenty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.5842488528128 × 10¹³

Factors of 45842488528128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 240

Divisors of 45842488528128

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 193 228 256 276 304 361 368 384 386 437 456 552 579 608 722 736 768 772 874 912 1083 1104 1158 1216 1311 1444 1472 1544 1748 1824 2166 2208 2316 2432 2622 2888 2944 3088 3496 3648 3667 4332 4416 4439 4632 4864 5244 5776 5888 6176 6992 7296 7334 8303 8664 8832 8878 9264 10488 11001 11552 12352 13317 13984 14592 14668 16606 17328 17664 17756 18528 20976 22002 23104 24704 24909 26634 27968 29336 33212 34656 35512 37056 37249 41952 44004 46208 49408 49818 53268 55936 58672 66424 69312 69673 71024 74112 74498 83904 84341 88008 92416 99636 106536 111747 111872 117344 132848 138624 139346 142048 148224 148996 167808 168682 176016 199272 209019 213072 223494 234688 253023 265696 277248 278692 284096 297992 335616 337364 352032 398544 418038 426144 446988 469376 506046 531392 557384 568192 595984 674728 704064 707731 797088 836076 852288 856727 893976 938752 1012092 1062784 1114768 1136384 1191968 1349456 1408128 1415462 1594176 1602479 1672152 1704576 1713454 1787952 2024184 2123193 2125568 2229536 2383936 2570181 2698912 2816256 2830924 3188352 3204958 3344304 3409152 3426908 3575904 4048368 4246386 4459072 4767872 4807437 5140362 5397824 5661848 6376704 6409916 6688608 6853816 7151808 7189057 8096736 8492772 8918144 9535744 9614874 10280724 10795648 11323696 12819832 13377216 13446889 13707632 14303616 14378114 16193472 16277813 16985544 17836288 19229748 20561448 21567171 21591296 22647392 25639664 26754432 26893778 27415264 28607232 28756228 32386944 32555626 33971088 38459496 40340667 41122896 43134342 45294784 48833439 51279328 53508864 53787556 54830528 57512456 64773888 65111252 67942176 76918992 80681334 82245792 86268684 90589568 97666878 102558656 107575112 109661056 115024912 130222504 135884352 136592083 153837984 161362668 164491584 165348311 172537368 181179136 195333756 205117312 215150224 219322112 230049824 260445008 271768704 273184166 307675968 309278447 322725336 328983168 330696622 345074736 390667512 409776249 410234624 430300448 460099648 496044933 520890016 543537408 546368332 615351936 618556894 645450672 657966336 661393244 690149472 781335024 819552498 860600896 920199296 927835341 992089866 1041780032 1092736664 1230703872 1237113788 1290901344 1322786488 1380298944 1562670048 1639104996 1721201792 1840398592 1855670682 1984179732 2083560064 2185473328 2474227576 2581802688 2595249577 2645572976 2760597888 3125340096 3141617909 3278209992 3442403584 3711341364 3968359464 4167120128 4370946656 4948455152 5163605376 5190499154 5291145952 5521195776 6250680192 6283235818 6556419984 7422682728 7785748731 7936718928 8741893312 9424853727 9896910304 10327210752 10380998308 10582291904 12501360384 12566471636 13112839968 14845365456 15571497462 15873437856 17483786624 18849707454 19793820608 20761996616 21164583808 25132943272 26225679936 29690730912 31142994924 31746875712 34967573248 37699414908 39587641216 41523993232 42329167616 50265886544 52451359872 59381461824 59690740271 62285989848 63493751424 75398829816 79175282432 83047986464 100531773088 104902719744 118762923648 119381480542 124571979696 126987502848 150797659632 166095972928 179072220813 201063546176 237525847296 238762961084 249143959392 301595319264 332191945856 358144441626 402127092352 477525922168 498287918784 603190638528 664383891712 716288883252 804254184704 955051844336 996575837568 1206381277056 1432577766504 1910103688672 1993151675136 2412762554112 2865155533008 3820207377344 5730311066016 7640414754688 11460622132032 15280829509376 22921244264064 45842488528128
• Sum of all divisors σ(n): 135065713104000
• Sum of proper divisors (its aliquot sum) s(n): 89223224575872
• 45842488528128 is an abundant number, because the sum of its proper divisors (89223224575872) is greater than itself. Its abundance is 43380736047744

Bases of 45842488528128

• Binary: 1010011011000110001001001111101000110100000000₂
• Hexadecimal: 0x29B1893E8D00
• Base-36: G8ZQY1UYO

Squares and roots of 45842488528128

• 45842488528128 squared (45842488528128²) is 2101533754451547283847184384
• 45842488528128 cubed (45842488528128³) is 96339537029918821612183907880953186353152
• The square root of 45842488528128 is 6770708.1260476737
• The cube root of 45842488528128 is 35789.5354827451

Scales and comparisons

• 45,842,488,528,128 seconds is equal to 1,457,649 years, 17 weeks, 2 days, 23 hours, 8 minutes, 48 seconds.
• To count from 1 to 45,842,488,528,128 would take you about three million, six hundred forty-four thousand, one hundred twenty-three 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 45842488528128 cubic inches would be around 2982.5 feet tall.

Recreational maths with 45842488528128

• 45842488528128 backwards is 82182588424854
• 45842488528128 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 45842488528128's digits is 69
• More coming soon!