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345144103815 = 35727711866739
BaseRepresentation
bin1010000010111000011…
…00010001001110000111
31012222212200112010002010
411001130030101032013
521123323342310230
6422320151545303
733635664322350
oct5013414211607
91188780463063
10345144103815
11123413937705
1256a8408b233
1326715855c84
14129c29a2d27
158ea0ab49b0
hex505c311387

345144103815 has 32 divisors (see below), whose sum is σ = 633399114240. Its totient is φ = 157210545024.

The previous prime is 345144103807. The next prime is 345144103847. The reversal of 345144103815 is 518301441543.

It is not a de Polignac number, because 345144103815 - 23 = 345144103807 is a prime.

It is a congruent number.

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, 5904285 + ... + 5962454.

It is an arithmetic number, because the mean of its divisors is an integer number (19793722320).

Almost surely, 2345144103815 is an apocalyptic number.

345144103815 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345144103815 is a deficient number, since it is larger than the sum of its proper divisors (288255010425).

345144103815 is a wasteful number, since it uses less digits than its factorization.

345144103815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11867031.

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 345144103815 in words is "three hundred forty-five billion, one hundred forty-four million, one hundred three thousand, eight hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 277 831 1385 1939 4155 5817 9695 29085 11866739 35600217 59333695 83067173 178001085 249201519 415335865 1246007595 3287086703 9861260109 16435433515 23009606921 49306300545 69028820763 115048034605 345144103815