40497508947992148
40,497,508,947,992,148 is an even composite number composed of four prime numbers multiplied together.
What does the number 40497508947992148 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 588 divisors.
40497508947992148 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred eighty-eight divisors.
Prime factorization of 40497508947992148:
22 × 36 × 133 × 436
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 43 × 43 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 40497508947992148 from the Numbermatics database.
Names of 40497508947992148
- Cardinal: 40497508947992148 can be written as Forty quadrillion, four hundred ninety-seven trillion, five hundred eight billion, nine hundred forty-seven million, nine hundred ninety-two thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 4.0497508947992148 × 1016
Factors of 40497508947992148
Divisors of 40497508947992148
- Number of divisors d(n): 588
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 81 86 108 117 129 156 162 169 172 234 243 258 324 338 351 387 468 486 507 516 559 676 702 729 774 972 1014 1053 1118 1161 1404 1458 1521 1548 1677 1849 2028 2106 2197 2236 2322 2916 3042 3159 3354 3483 3698 4212 4394 4563 4644 5031 5547 6084 6318 6591 6708 6966 7267 7396 8788 9126 9477 10062 10449 11094 12636 13182 13689 13932 14534 15093 16641 18252 18954 19773 20124 20898 21801 22188 24037 26364 27378 29068 30186 31347 33282 37908 39546 41067 41796 43602 45279 48074 49923 54756 59319 60372 62694 65403 66564 72111 79092 79507 82134 87204 90558 94471 96148 99846 118638 123201 125388 130806 135837 144222 149769 159014 164268 177957 181116 188942 196209 199692 216333 237276 238521 246402 261612 271674 283413 288444 299538 312481 318028 355914 377884 392418 407511 432666 449307 477042 492804 533871 543348 566826 588627 599076 624962 648999 711828 715563 784836 815022 850239 865332 898614 937443 954084 1033591 1067742 1133652 1177254 1249924 1297998 1347921 1431126 1601613 1630044 1700478 1765881 1797228 1874886 1946997 2067182 2135484 2146689 2354508 2550717 2595996 2695842 2812329 2862252 3100773 3203226 3400956 3418801 3531762 3749772 3893994 4062253 4134364 4293378 5101434 5297643 5391684 5624658 5840991 6201546 6406452 6440067 6837602 7063524 7652151 7787988 8124506 8436987 8586756 9302319 10202868 10256403 10595286 11249316 11681982 12186759 12403092 12880134 13436683 13675204 15304302 16249012 16873974 17522973 18604638 19320201 20512806 21190572 22956453 23363964 24373518 25310961 25760268 26873366 27906957 30608604 30769209 33747948 35045946 36560277 37209276 38640402 40310049 41025612 44444413 45912906 48747036 50621922 53746732 55813914 57960603 61538418 68869359 70091892 73120554 75932883 77280804 80620098 83720871 88888826 91825812 92307627 101243844 109680831 111627828 115921206 120930147 123076836 133333239 137738718 146241108 147008443 151865766 161240196 167441742 174676879 177777652 184615254 219361662 227798649 231842412 241860294 251162613 266666478 275477436 276922881 294016886 303731532 329042493 334883484 349353758 362790441 369230508 399999717 438723324 441025329 455597298 483720588 502325226 524030637 533332956 553845762 577777369 588033772 658084986 698707516 725580882 753487839 799999434 830768643 882050658 911194596 987127479 1004650452 1048061274 1088371323 1107691524 1155554738 1199999151 1316169972 1323075987 1451161764 1506975678 1572091911 1599998868 1661537286 1733332107 1764101316 1911109759 1974254958 2096122548 2176742646 2311109476 2399998302 2492305929 2646151974 2961382437 3013951356 3144183822 3265113969 3323074572 3466664214 3599997453 3822219518 3948509916 3969227961 4353485292 4716275733 4799996604 4984611858 5199996321 5292303948 5733329277 5922764874 6288367644 6321363049 6530227938 6933328428 7199994906 7511105797 7644439036 7938455922 9432551466 9795341907 9969223716 10399992642 10799992359 11466658554 11845529748 11907683883 12642726098 13060455876 14148827199 14399989812 15022211594 15599988963 15876911844 17199987831 18865102932 18964089147 19590683814 20799985284 21599984718 22533317391 22933317108 23815367766 24844426867 25285452196 28297654398 30044423188 31199977926 32399977077 34399975662 35723051649 37928178294 39181367628 42446481597 43199969436 45066634782 46799966889 47630735532 49688853734 51599963493 56595308796 56892267441 62399955852 64799954154 67599952173 68799951324 71446103298 74533280601 75856356588 82177719637 84892963194 90133269564 93599933778 99377707468 103199926986 107169154947 113784534882 127339444791 129599908308 135199904346 140399900667 142892206596 149066561202 154799890479 164355439274 169785926388 170676802323 187199867556 202799856519 206399853972 214338309894 223599841803 227569069764 246533158911 254678889582 270399808692 280799801334 298133122404 309599780958 322977549271 328710878548 341353604646 405599713038 421199702001 428676619788 447199683606 464399671437 493066317822 509357779164 512030406969 561599602668 608399569557 619199561916 645955098542 670799525409 682707209292 739599476733 811199426076 842399404002 894399367212 928799342874 968932647813 986132635644 1024060813938 1068310355281 1216799139114 1291910197084 1341599050818 1393199014311 1479198953466 1536091220907 1684798808004 1825198708671 1857598685748 1937865295626 2012398576227 2048121627876 2136620710562 2218798430199 2433598278228 2683198101636 2786398028622 2906797943439 2958397906932 3072182441814 3204931065843 3650397417342 3875730591252 4024797152454 4273241421124 4437596860398 4608273662721 5475596126013 5572796057244 5813595886878 6037195728681 6144364883628 6409862131686 6656395290597 7300794834684 8049594304908 8720393830317 8875193720796 9216547325442 9614793197529 10951192252026 11627191773756 12074391457362 12819724263372 13312790581194 13888034618653 17440787660634 18111587186043 18433094650884 19229586395058 19969185871791 21902384504052 24148782914724 26161181490951 26625581162388 27776069237306 28844379592587 34881575321268 36223174372086 38459172790116 39938371743582 41664103855959 52322362981902 55552138474612 57688759185174 59907557615373 72446348744172 78483544472853 79876743487164 83328207711918 86533138777761 104644725963804 115377518370348 119815115230746 124992311567877 156967088945706 166656415423836 173066277555522 235450633418559 239630230461492 249984623135754 259599416333283 313934177891412 346132555111044 374976934703631 470901266837118 499969246271508 519198832666566 749953869407262 778798248999849 941802533674236 1038397665333132 1124930804110893 1499907738814524 1557596497999698 2249861608221786 3115192995999396 3374792412332679 4499723216443572 6749584824665358 10124377236998037 13499169649330716 20248754473996074 40497508947992148
- Sum of all divisors σ(n): 117848770969080340
- Sum of proper divisors (its aliquot sum) s(n): 77351262021088192
- 40497508947992148 is an abundant number, because the sum of its proper divisors (77351262021088192) is greater than itself. Its abundance is 36853753073096044
Bases of 40497508947992148
- Binary: 100011111110000001000101000100110010001000011110010101002
- Hexadecimal: 0x8FE04513221E54
- Base-36: B2R62RWXT90
Squares and roots of 40497508947992148
- 40497508947992148 squared (404975089479921482) is 1640048230992704093823480669653904
- 40497508947992148 cubed (404975089479921483) is 66417867909765727303622885239269307332914869545792
-
The
square root of 40497508947992148 is 201239928.8113374085 -
The
cube root of 40497508947992148 is 343407.2317754363 - Being both a perfect square and a perfect cube, 40497508947992148 is also a
perfect sixth number .
Scales and comparisons
How big is 40497508947992148?- 40,497,508,947,992,148 seconds is equal to 1,287,695,517 years, 27 weeks, 2 days, 12 hours, 55 minutes, 48 seconds.
-
To count from 1 to 40,497,508,947,992,148 would take you about three billion, eight hundred sixty-three million, eighty-six thousand, five hundred fifty-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 40497508947992148 cubic inches would be around 28617.3 feet tall.
Recreational maths with 40497508947992148
- 40497508947992148 backwards is 84129974980579404
- The number of decimal digits it has is: 17
- The sum of 40497508947992148's digits is 90
- More coming soon!
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