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2314230324132 = 2234125127169151
BaseRepresentation
bin100001101011010010111…
…000000101101110100100
322012020102200122020121010
4201223102320011232210
5300404020430333012
64531050455222220
7326124533122026
oct41532270055644
98166380566533
102314230324132
11812506760241
1231461b077970
1313a3006157cc
148001b902016
15402e9b18c3c
hex21ad2e05ba4

2314230324132 has 96 divisors (see below), whose sum is σ = 5574186713088. Its totient is φ = 746820000000.

The previous prime is 2314230324127. The next prime is 2314230324143.

It is a happy number.

2314230324132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2314230324132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33431757 + ... + 33500907.

It is an arithmetic number, because the mean of its divisors is an integer number (58064444928).

Almost surely, 22314230324132 is an apocalyptic number.

It is an amenable number.

2314230324132 is an abundant number, since it is smaller than the sum of its proper divisors (3259956388956).

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

2314230324132 is a wasteful number, since it uses less digits than its factorization.

2314230324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69721 (or 69719 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2314230 and 324132, that added together give a palindrome (2638362).

The spelling of 2314230324132 in words is "two trillion, three hundred fourteen billion, two hundred thirty million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 251 271 492 502 542 753 813 1004 1084 1506 1626 3012 3252 10291 11111 20582 22222 30873 33333 41164 44444 61746 66666 68021 69151 123492 133332 136042 138302 204063 207453 272084 276604 408126 414906 816252 829812 2788861 2835191 5577722 5670382 8366583 8505573 11155444 11340764 16733166 17011146 17356901 18739921 33466332 34022292 34713802 37479842 52070703 56219763 69427604 74959684 104141406 112439526 208282812 224879052 711632941 768336761 1423265882 1536673522 2134898823 2305010283 2846531764 3073347044 4269797646 4610020566 4703720171 8539595292 9220041132 9407440342 14111160513 18814880684 28222321026 56444642052 192852527011 385705054022 578557581033 771410108044 1157115162066 2314230324132