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144164357905704 = 23336716367433913
BaseRepresentation
bin100000110001110111100001…
…010101111001110100101000
3200220102222101222022221022020
4200301313201111321310220
5122343442101110440304
61230340105225224440
742236350116323643
oct4061674125716450
9626388358287266
10144164357905704
1141a31840754034
1214204027932120
13625984358ab76
142785840c1ca5a
1511a00a48055d9
hex831de1579d28

144164357905704 has 32 divisors (see below), whose sum is σ = 361392940821120. Its totient is φ = 47923846494336.

The previous prime is 144164357905699. The next prime is 144164357905721. The reversal of 144164357905704 is 407509753461441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8183708149 + ... + 8183725764.

It is an arithmetic number, because the mean of its divisors is an integer number (11293529400660).

Almost surely, 2144164357905704 is an apocalyptic number.

It is an amenable number.

144164357905704 is an abundant number, since it is smaller than the sum of its proper divisors (217228582915416).

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

144164357905704 is a wasteful number, since it uses less digits than its factorization.

144164357905704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367434289 (or 16367434285 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

It can be divided in two parts, 144164357 and 905704, that added together give a triangular number (145070061 = T17033).

The spelling of 144164357905704 in words is "one hundred forty-four trillion, one hundred sixty-four billion, three hundred fifty-seven million, nine hundred five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 24 367 734 1101 1468 2202 2936 4404 8808 16367433913 32734867826 49102301739 65469735652 98204603478 130939471304 196409206956 392818413912 6006848246071 12013696492142 18020544738213 24027392984284 36041089476426 48054785968568 72082178952852 144164357905704