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141003670164 = 223726350312689
BaseRepresentation
bin1000001101010001111…
…0010100001010010100
3111110221210021121101020
42003110132110022110
54302233414421124
6144435354001140
713121126264250
oct2032436241224
9443853247336
10141003670164
1154887994415
12233b1a161b0
13103b17b5876
146b78a53260
153a03dca379
hex20d4794294

141003670164 has 96 divisors (see below), whose sum is σ = 378219663360. Its totient is φ = 40050636288.

The previous prime is 141003670147. The next prime is 141003670169. The reversal of 141003670164 is 461076300141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141003670169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11105932 + ... + 11118620.

It is an arithmetic number, because the mean of its divisors is an integer number (3939788160).

Almost surely, 2141003670164 is an apocalyptic number.

141003670164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141003670164 is an abundant number, since it is smaller than the sum of its proper divisors (237215993196).

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

141003670164 is a wasteful number, since it uses less digits than its factorization.

141003670164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13467 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 141003670164 in words is "one hundred forty-one billion, three million, six hundred seventy thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 263 503 526 789 1006 1052 1509 1578 1841 2012 3018 3156 3521 3682 5523 6036 7042 7364 10563 11046 12689 14084 21126 22092 25378 38067 42252 50756 76134 88823 132289 152268 177646 264578 266469 355292 396867 529156 532938 793734 926023 1065876 1587468 1852046 2778069 3337207 3704092 5556138 6382567 6674414 10011621 11112276 12765134 13348828 19147701 20023242 23360449 25530268 38295402 40046484 44677969 46720898 70081347 76590804 89355938 93441796 134033907 140162694 178711876 268067814 280325388 536135628 1678615121 3357230242 5035845363 6714460484 10071690726 11750305847 20143381452 23500611694 35250917541 47001223388 70501835082 141003670164