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141813011664 = 24321377188413
BaseRepresentation
bin1000010000010010110…
…1101101010011010000
3111120001012012102012100
42010010231231103100
54310413112333124
6145051545000400
713150154465412
oct2040455552320
9446035172170
10141813011664
1155162825695
1223598a83100
13104b038966c
146c143309b2
153a4ee9a1c9
hex2104b6d4d0

141813011664 has 60 divisors (see below), whose sum is σ = 399776456196. Its totient is φ = 46925953536.

The previous prime is 141813011651. The next prime is 141813011689. The reversal of 141813011664 is 466110318141.

141813011664 is a `hidden beast` number, since 14 + 181 + 301 + 166 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39418131600 + 102394880064 = 198540^2 + 319992^2 .

It is a super-2 number, since 2×1418130116642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3574479 + ... + 3613934.

Almost surely, 2141813011664 is an apocalyptic number.

It is an amenable number.

141813011664 is an abundant number, since it is smaller than the sum of its proper divisors (257963444532).

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

141813011664 is a wasteful number, since it uses less digits than its factorization.

141813011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188564 (or 7188555 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 141813011664 in words is "one hundred forty-one billion, eight hundred thirteen million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 7188413 14376826 21565239 28753652 43130478 57507304 64695717 86260956 115014608 129391434 172521912 258782868 345043824 517565736 984812581 1035131472 1969625162 2954437743 3939250324 5908875486 7878500648 8863313229 11817750972 15757001296 17726626458 23635501944 35453252916 47271003888 70906505832 141813011664