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2345314135432 = 236119924150611
BaseRepresentation
bin100010001000001111100…
…111011010110110001000
322022012122222022110120111
4202020033213122312020
5301411200404313212
64553231125204104
7331305033140422
oct42101747326610
98265588273514
102345314135432
11824707761794
1231a654b60634
131402153b0b68
1481729c73812
154101897bea7
hex2220f9dad88

2345314135432 has 32 divisors (see below), whose sum is σ = 4492013832000. Its totient is φ = 1147636987200.

The previous prime is 2345314135429. The next prime is 2345314135433.

2345314135432 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2345314135433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11978194 + ... + 12172417.

It is an arithmetic number, because the mean of its divisors is an integer number (140375432250).

Almost surely, 22345314135432 is an apocalyptic number.

It is an amenable number.

2345314135432 is a deficient number, since it is larger than the sum of its proper divisors (2146699696568).

2345314135432 is a wasteful number, since it uses less digits than its factorization.

2345314135432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24150877 (or 24150873 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 2345314135432 in words is "two trillion, three hundred forty-five billion, three hundred fourteen million, one hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 61 122 199 244 398 488 796 1592 12139 24278 48556 97112 24150611 48301222 96602444 193204888 1473187271 2946374542 4805971589 5892749084 9611943178 11785498168 19223886356 38447772712 293164266929 586328533858 1172657067716 2345314135432