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135105550351144 = 23102174772212229
BaseRepresentation
bin11110101110000010110110…
…010101011111101100101000
3122201100222001002201210211121
4132232002312111133230220
5120202032131342214034
61155202344420505024
740313024325513112
oct3656026625375450
9581328032653747
10135105550351144
113a059a3aa8484a
12131a043b54b174
135a5052501ba19
142551201ba83b2
15109461341d1b4
hex7ae0b655fb28

135105550351144 has 32 divisors (see below), whose sum is σ = 253605047560200. Its totient is φ = 67477555434240.

The previous prime is 135105550351091. The next prime is 135105550351159. The reversal of 135105550351144 is 441153055501531.

It can be written as a sum of positive squares in 4 ways, for example, as 111084475074244 + 24021075276900 = 10539662^2 + 4901130^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135105550351144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59966022 + ... + 62178250.

Almost surely, 2135105550351144 is an apocalyptic number.

It is an amenable number.

135105550351144 is a deficient number, since it is larger than the sum of its proper divisors (118499497209056).

135105550351144 is a wasteful number, since it uses less digits than its factorization.

135105550351144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220733 (or 2220729 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 43.

The spelling of 135105550351144 in words is "one hundred thirty-five trillion, one hundred five billion, five hundred fifty million, three hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 1021 2042 4084 7477 8168 14954 29908 59816 2212229 4424458 7634017 8848916 15268034 17697832 30536068 61072136 2258685809 4517371618 9034743236 16540836233 18069486472 33081672466 66163344932 132326689864 16888193793893 33776387587786 67552775175572 135105550351144