Search a number
-
+
42122131001412 = 223711355712816059
BaseRepresentation
bin10011001001111010100101…
…01001111101000001000100
312112010211120201210120011020
421210331102221331001010
521010112111014021122
6225330350112311140
711605136446660230
oct1144752251750104
9175124521716136
1042122131001412
111246a993912970
1248836745424b0
131a6713b669a77
14a58a1730b5c0
154d0a5ecdcc5c
hex264f52a7d044

42122131001412 has 96 divisors (see below), whose sum is σ = 122571567498240. Its totient is φ = 10937736539520.

The previous prime is 42122131001359. The next prime is 42122131001413. The reversal of 42122131001412 is 21410013122124.

It is a super-2 number, since 2×421221310014122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42122131001413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3121362 + ... + 9694697.

It is an arithmetic number, because the mean of its divisors is an integer number (1276787161440).

Almost surely, 242122131001412 is an apocalyptic number.

42122131001412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42122131001412 is an abundant number, since it is smaller than the sum of its proper divisors (80449436496828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42122131001412 is a wasteful number, since it uses less digits than its factorization.

42122131001412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819641 (or 12819639 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 42122131001412 its reverse (21410013122124), we get a palindrome (63532144123536).

The spelling of 42122131001412 in words is "forty-two trillion, one hundred twenty-two billion, one hundred thirty-one million, one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 3557 7114 10671 14228 21342 24899 39127 42684 49798 74697 78254 99596 117381 149394 156508 234762 273889 298788 469524 547778 821667 1095556 1643334 3286668 12816059 25632118 38448177 51264236 76896354 89712413 140976649 153792708 179424826 269137239 281953298 358849652 422929947 538274478 563906596 845859894 986836543 1076548956 1691719788 1973673086 2960509629 3947346172 5921019258 11842038516 45586721863 91173443726 136760165589 182346887452 273520331178 319107053041 501453940493 547040662356 638214106082 957321159123 1002907880986 1276428212164 1504361821479 1914642318246 2005815761972 3008723642958 3510177583451 3829284636492 6017447285916 7020355166902 10530532750353 14040710333804 21061065500706 42122131001412