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2341312131432 = 2331018391151237
BaseRepresentation
bin100010000100100001000…
…100111111000101101000
322021211100001211121011010
4202010201010333011220
5301330001401201212
64551330044303520
7331103616516321
oct42044104770550
98254301747133
102341312131432
11822a4372996a
12319918841ba0
1313ca2823a261
148146a55b448
1540d8245d03c
hex2212113f168

2341312131432 has 64 divisors (see below), whose sum is σ = 5918284310400. Its totient is φ = 771788614400.

The previous prime is 2341312131419. The next prime is 2341312131437.

2341312131432 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2341312131432.

It is not an unprimeable number, because it can be changed into a prime (2341312131437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458118 + ... + 2609354.

It is an arithmetic number, because the mean of its divisors is an integer number (92473192350).

Almost surely, 22341312131432 is an apocalyptic number.

It is an amenable number.

2341312131432 is an abundant number, since it is smaller than the sum of its proper divisors (3576972178968).

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

2341312131432 is a wasteful number, since it uses less digits than its factorization.

2341312131432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152186 (or 1152182 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 2341312131432 in words is "two trillion, three hundred forty-one billion, three hundred twelve million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 839 1212 1678 2424 2517 3356 5034 6712 10068 20136 84739 169478 254217 338956 508434 677912 1016868 1151237 2033736 2302474 3453711 4604948 6907422 9209896 13814844 27629688 116274937 232549874 348824811 465099748 697649622 930199496 965887843 1395299244 1931775686 2790598488 2897663529 3863551372 5795327058 7727102744 11590654116 23181308232 97554672143 195109344286 292664016429 390218688572 585328032858 780437377144 1170656065716 2341312131432