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141136164 = 223213973109
BaseRepresentation
bin10000110100110…
…01000100100100
3100211120110102100
420122121010210
5242112324124
622001012100
73332431461
oct1032310444
9324513370
10141136164
1172738764
123b324030
1323317530
1414a5c668
15c5cd1c9
hex8699124

141136164 has 72 divisors (see below), whose sum is σ = 388289720. Its totient is φ = 42964992.

The previous prime is 141136157. The next prime is 141136187. The reversal of 141136164 is 461631141.

141136164 is a `hidden beast` number, since 1 + 41 + 1 + 3 + 616 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 141134400 = 42^2 + 11880^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43842 + ... + 46950.

Almost surely, 2141136164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141136164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194144860).

141136164 is an abundant number, since it is smaller than the sum of its proper divisors (247153556).

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

141136164 is a wasteful number, since it uses less digits than its factorization.

141136164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3224 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 141136164 is about 11880.0742421923. The cubic root of 141136164 is about 520.6502762139.

The spelling of 141136164 in words is "one hundred forty-one million, one hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 291 388 468 582 873 1164 1261 1746 2522 3109 3492 3783 5044 6218 7566 9327 11349 12436 15132 18654 22698 27981 37308 40417 45396 55962 80834 111924 121251 161668 242502 301573 363753 485004 603146 727506 904719 1206292 1455012 1809438 2714157 3618876 3920449 5428314 7840898 10856628 11761347 15681796 23522694 35284041 47045388 70568082 141136164