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42132422013132 = 223111923117269239
BaseRepresentation
bin10011001010001101110000…
…00011000011000011001100
312112011211010221011010022110
421211012320003003003030
521010244200013410012
6225335211212344020
711605652460064653
oct1145067003030314
9175154127133273
1042132422013132
1112474294922330
124885666a75010
131a680bb728b09
14a59311d8419a
154d0e634d173c
hex2651b80c30cc

42132422013132 has 96 divisors (see below), whose sum is σ = 112939564953600. Its totient is φ = 12090196641600.

The previous prime is 42132422013103. The next prime is 42132422013197. The reversal of 42132422013132 is 23131022423124.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42132422013132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161369 + ... + 9430607.

It is an arithmetic number, because the mean of its divisors is an integer number (1176453801600).

Almost surely, 242132422013132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42132422013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56469782476800).

42132422013132 is an abundant number, since it is smaller than the sum of its proper divisors (70807142940468).

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

42132422013132 is a wasteful number, since it uses less digits than its factorization.

42132422013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271587 (or 7271585 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 42132422013132 its reverse (23131022423124), we get a palindrome (65263444436256).

The spelling of 42132422013132 in words is "forty-two trillion, one hundred thirty-two billion, four hundred twenty-two million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2311 2508 4622 6933 9244 13866 25421 27732 43909 50842 76263 87818 101684 131727 152526 175636 263454 305052 482999 526908 965998 1448997 1931996 2897994 5795988 7269239 14538478 21807717 29076956 43615434 79961629 87230868 138115541 159923258 239884887 276231082 319846516 414346623 479769774 552462164 828693246 959539548 1519270951 1657386492 3038541902 4557812853 6077083804 9115625706 16799211329 18231251412 33598422658 50397633987 67196845316 100795267974 184791324619 201590535948 319185015251 369582649238 554373973857 638370030502 739165298476 957555045753 1108747947714 1276740061004 1915110091506 2217495895428 3511035167761 3830220183012 7022070335522 10533105503283 14044140671044 21066211006566 42132422013132