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332431430000034 = 2317368411648483
BaseRepresentation
bin100101110010110000011100…
…1010011000001110110100010
31121121001010121221010222221110
41023211200321103001312202
5322033024032040000114
63135004520214404150
7130010243510155461
oct11345407123016642
91547033557128843
10332431430000034
1196a174178469a2
123134b531360656
13113651c3132301
145c13aa4b609d8
152867487456759
hex12e58394c1da2

332431430000034 has 64 divisors (see below), whose sum is σ = 706512020353920. Its totient is φ = 104276904906240.

The previous prime is 332431430000029. The next prime is 332431430000063. The reversal of 332431430000034 is 430000034134233.

It is a super-2 number, since 2×3324314300000342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332431429999956 and 332431430000010.

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, 200834757 + ... + 202483239.

It is an arithmetic number, because the mean of its divisors is an integer number (11039250318030).

Almost surely, 2332431430000034 is an apocalyptic number.

332431430000034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

332431430000034 is an abundant number, since it is smaller than the sum of its proper divisors (374080590353886).

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

332431430000034 is a wasteful number, since it uses less digits than its factorization.

332431430000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655380 (or 1655346 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 332431430000034 its reverse (430000034134233), we get a palindrome (762431464134267).

The spelling of 332431430000034 in words is "three hundred thirty-two trillion, four hundred thirty-one billion, four hundred thirty million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 17 34 51 102 289 578 867 1734 4913 6841 9826 13682 14739 20523 29478 41046 116297 232594 348891 697782 1648483 1977049 3296966 3954098 4945449 5931147 9890898 11862294 28024211 33609833 56048422 67219666 84072633 100829499 168145266 201658998 476411587 952823174 1429234761 2858469522 8098996979 11277272203 16197993958 22554544406 24296990937 33831816609 48593981874 67663633218 191713627451 383427254902 575140882353 1150281764706 3259131666667 6518263333334 9777395000001 19554790000002 55405238333339 110810476666678 166215715000017 332431430000034