4202127405829076940
4,202,127,405,829,076,940 is an even composite number composed of seven prime numbers multiplied together.
4202127405829076940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4202127405829076940:
22 × 32 × 5 × 29 × 59 × 241 × 56614758433
(2 × 2 × 3 × 3 × 5 × 29 × 59 × 241 × 56614758433)See below for interesting mathematical facts about the number 4202127405829076940 from the Numbermatics database.
Names of 4202127405829076940
- Cardinal: 4202127405829076940 can be written as Four quintillion, two hundred two quadrillion, one hundred twenty-seven trillion, four hundred five billion, eight hundred twenty-nine million, seventy-six thousand, nine hundred forty.
Scientific notation
- Scientific notation: 4.20212740582907694 × 1018
Factors of 4202127405829076940
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 56614758772
Divisors of 4202127405829076940
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 59 60 87 90 116 118 145 174 177 180 236 241 261 290 295 348 354 435 482 522 531 580 590 708 723 870 885 964 1044 1062 1180 1205 1305 1446 1711 1740 1770 2124 2169 2410 2610 2655 2892 3422 3540 3615 4338 4820 5133 5220 5310 6844 6989 7230 8555 8676 10266 10620 10845 13978 14219 14460 15399 17110 20532 20967 21690 25665 27956 28438 30798 34220 34945 41934 42657 43380 51330 56876 61596 62901 69890 71095 76995 83868 85314 102660 104835 125802 127971 139780 142190 153990 170628 209670 213285 251604 255942 284380 307980 314505 412351 419340 426570 511884 629010 639855 824702 853140 1237053 1258020 1279710 1649404 2061755 2474106 2559420 3711159 4123510 4948212 6185265 7422318 8247020 12370530 14844636 18555795 24741060 37111590 74223180 56614758433 113229516866 169844275299 226459033732 283073792165 339688550598 509532825897 566147584330 679377101196 849221376495 1019065651794 1132295168660 1641827994557 1698442752990 2038131303588 2547664129485 3283655989114 3340270747547 3396885505980 4925483983671 5095328258970 6567311978228 6680541495094 8209139972785 9850967967342 10020812242641 10190656517940 13361082990188 13644156782353 14776451951013 16418279945570 16701353737735 19701935934684 20041624485282 24627419918355 27288313564706 29552903902026 30062436727923 32836559891140 33402707475470 40083248970564 40932470347059 49254839836710 50104061213205 54576627129412 59105807804052 60124873455846 66805414950940 68220783911765 73882259755065 81864940694118 96867851678863 98509679673420 100208122426410 120249746911692 122797411041177 136441567823530 147764519510130 150312183639615 163729881388236 193735703357726 200416244852820 204662351735295 245594822082354 272883135647060 290603555036589 295529039020260 300624367279230 387471406715452 395680546688237 409324703470590 484339258394315 491189644164708 581207110073178 601248734558460 613987055205885 791361093376474 805005250158827 818649406941180 871810665109767 968678516788630 1162414220146356 1187041640064711 1227974110411770 1453017775182945 1582722186752948 1610010500317654 1743621330219534 1937357033577260 1978402733441185 2374083280129422 2415015750476481 2455948220823540 2906035550365890 3220021000635308 3487242660439068 3561124920194133 3956805466882370 4025026250794135 4359053325548835 4748166560258844 4830031500952962 5812071100731780 5935208200323555 7122249840388266 7245047251429443 7913610933764740 8050052501588270 8718106651097670 9660063001905924 11870416400647110 12075078752382405 14244499680776532 14490094502858886 16100105003176540 17436213302195340 17805624600970665 23345152254605983 23740832801294220 24150157504764810 28980189005717772 35611249201941330 36225236257147215 46690304509211966 48300315009529620 70035456763817949 71222498403882660 72450472514294430 93380609018423932 116725761273029915 140070913527635898 144900945028588860 210106370291453847 233451522546059830 280141827055271796 350177283819089745 420212740582907694 466903045092119660 700354567638179490 840425481165815388 1050531851457269235 1400709135276358980 2101063702914538470 4202127405829076940
- Sum of all divisors σ(n): 13465118270522318400
- Sum of proper divisors (its aliquot sum) s(n): 9262990864693241460
- 4202127405829076940 is an abundant number, because the sum of its proper divisors (9262990864693241460) is greater than itself. Its abundance is 5060863458864164520
Bases of 4202127405829076940
- Binary: 111010010100001111010010011100100111010110000000110111110011002
- Hexadecimal: 0x3A50F49C9D6037CC
- Base-36: VXBTUGC46CB0
Squares and roots of 4202127405829076940
- 4202127405829076940 squared (42021274058290769402) is 17657874734819807886542449972439763600
- 4202127405829076940 cubed (42021274058290769403) is 74200639351883159208922877498993106938534901539811384000
-
The
square root of 4202127405829076940 is 2049909121.3585730421 -
The
cube root of 4202127405829076940 is 1613701.0141304217
Scales and comparisons
How big is 4202127405829076940?- 4,202,127,405,829,076,940 seconds is equal to 133,614,653,471 years, 45 weeks, 3 days, 11 hours, 9 minutes.
-
To count from 1 to 4,202,127,405,829,076,940 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4202127405829076940 cubic inches would be around 134475.1 feet tall.
Recreational maths with 4202127405829076940
- 4202127405829076940 backwards is 0496709285047212024
- The number of decimal digits it has is: 19
- The sum of 4202127405829076940's digits is 72
- More coming soon!
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