46131225112209816

Names of 46131225112209816

• Cardinal: 46131225112209816 can be written as Forty-six quadrillion, one hundred thirty-one trillion, two hundred twenty-five billion, one hundred twelve million, two hundred nine thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.6131225112209816 × 10¹⁶

Factors of 46131225112209816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2626

Divisors of 46131225112209816

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 197 216 248 279 372 394 558 591 744 788 837 961 1116 1182 1576 1674 1773 1922 2232 2364 2393 2883 3348 3546 3844 4728 4786 5319 5766 6107 6696 7092 7179 7688 8649 9572 10638 11532 12214 14184 14358 17298 18321 19144 21276 21537 23064 24428 25947 28716 34596 36642 38809 42552 43074 48856 51894 54963 57432 64611 69192 73284 74183 77618 86148 103788 109926 116427 129222 146568 148366 155236 164889 172296 189317 207576 219852 222549 232854 258444 296732 310472 329778 349281 378634 439704 445098 465708 471421 516888 567951 593464 659556 667647 698562 757268 890196 931416 942842 1047843 1135902 1203079 1319112 1335294 1397124 1414263 1514536 1703853 1780392 1885684 2002941 2095686 2271804 2299673 2406158 2670588 2794248 2828526 3407706 3609237 3771368 4005882 4191372 4242789 4543608 4599346 4812316 5111559 5341176 5657052 5726449 6815412 6899019 7218474 8011764 8382744 8485578 9198692 9624632 10223118 10827711 11314104 11452898 12728367 13630824 13798038 14436948 14614051 16023528 16971156 17179347 18397384 20446236 20697057 21655422 22905796 25456734 27596076 28873896 29228102 32483133 33942312 34358694 37295449 40892472 41394114 43310844 43842153 45811592 50913468 51538041 55192152 58456204 62091171 64966266 68717388 74590898 82788228 86621688 87684306 92869937 101826936 103076082 111886347 116912408 124182342 129932532 131526459 137434776 149181796 154614123 165576456 175368612 177519919 185739874 206152164 223772694 248364684 259865064 263052918 278609811 298363592 309228246 335659041 350737224 355039838 371479748 394579377 412304328 447545388 453035581 496729368 526105836 532559757 557219622 618456492 671318082 710079676 742959496 789158754 835829433 895090776 906071162 1006977123 1052211672 1065119514 1114439244 1128110453 1236912984 1342636164 1359106743 1420159352 1578317508 1597679271 1671658866 1812142324 2013954246 2130239028 2228878488 2256220906 2507488299 2685272328 2718213486 2878968047 3156635016 3195358542 3343317732 3384331359 3624284648 4027908492 4077320229 4260478056 4512441812 4793037813 5014976598 5436426972 5503117489 5757936094 6390717084 6686635464 6768662718 8055816984 8154640458 8636904141 9024883624 9586075626 10029953196 10152994077 10872853944 11006234978 11515872188 12231960687 12781434168 13537325436 16309280916 16509352467 17273808282 19172151252 20059906392 20305988154 22012469956 23031744376 24463921374 25910712423 27074650872 30458982231 32618561832 33018704934 34547616564 34971424043 38344302504 40611976308 44024939912 48927842748 49528057401 51821424846 60917964462 66037409868 69095233128 69942848086 77732137269 81223952616 89248009457 97855685496 99056114802 103642849692 104914272129 121835928924 132074819736 139885696172 148584172203 155464274538 178496018914 198112229604 207285699384 209828544258 222237759241 243671857848 267744028371 279771392344 297168344406 310928549076 314742816387 356992037828 396224459208 419657088516 444475518482 535488056742 594336688812 621857098152 629485632774 666713277723 713984075656 803232085113 839314177032 888951036964 944228449161 1070976113484 1084114145333 1188673377624 1258971265548 1333426555446 1606464170226 1777902073928 1888456898322 2000139833169 2141952226968 2168228290666 2409696255339 2517942531096 2666853110892 3212928340452 3252342435999 3776913796644 4000279666338 4336456581332 4819392510678 5333706221784 6000419499507 6425856680904 6504684871998 6889370536471 7553827593288 8000559332676 8672913162664 9638785021356 9757027307997 12000838999014 13009369743996 13778741072942 16001118665352 19277570042712 19514054615994 20668111609413 24001677998028 26018739487992 27557482145884 29271081923991 39028109231988 41336223218826 48003355996056 55114964291768 58542163847982 62004334828239 78056218463976 82672446437652 117084327695964 124008669656478 165344892875304 186013004484717 213570486630601 234168655391928 248017339312956 372026008969434 427140973261202 496034678625912 640711459891803 744052017938868 854281946522404 1281422919783606 1488104035877736 1708563893044808 1922134379675409 2562845839567212 3844268759350818 5125691679134424 5766403139026227 7688537518701636 11532806278052454 15377075037403272 23065612556104908 46131225112209816
• Sum of all divisors σ(n): 133140434429215800
• Sum of proper divisors (its aliquot sum) s(n): 87009209317005984
• 46131225112209816 is an abundant number, because the sum of its proper divisors (87009209317005984) is greater than itself. Its abundance is 40877984204796168

Bases of 46131225112209816

• Binary: 10100011111001000001101011010101110111011110100110011000₂
• Hexadecimal: 0xA3E41AD5DDE998
• Base-36: CM85K92VG60

Squares and roots of 46131225112209816

• 46131225112209816 squared (46131225112209816²) is 2128089930353377550800242806753856
• 46131225112209816 cubed (46131225112209816³) is 98171395636158568822320240926819548854773739050496
• The square root of 46131225112209816 is 214781808.1500614801
• The cube root of 46131225112209816 is 358645.1780170509

Scales and comparisons

• 46,131,225,112,209,816 seconds is equal to 1,466,830,265 years, 16 weeks, 4 days, 12 hours, 3 minutes, 36 seconds.
• To count from 1 to 46,131,225,112,209,816 would take you about four billion, four hundred million, four hundred ninety thousand, seven hundred ninety-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 46131225112209816 cubic inches would be around 29887.1 feet tall.

Recreational maths with 46131225112209816

• 46131225112209816 backwards is 61890221152213164
• 46131225112209816 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 46131225112209816's digits is 54
• More coming soon!