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141844164 = 223711153511
BaseRepresentation
bin10000111010001…
…01111011000100
3100212220102121120
420131011323010
5242303003124
622024113540
73341440560
oct1035057304
9325812546
10141844164
1173081690
123b6058b0
1323504877
1414ba46a0
15c6bcd79
hex8745ec4

141844164 has 48 divisors (see below), whose sum is σ = 412640256. Its totient is φ = 36842400.

The previous prime is 141844147. The next prime is 141844169. The reversal of 141844164 is 461448141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (141844169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75832 + ... + 77679.

It is an arithmetic number, because the mean of its divisors is an integer number (8596672).

Almost surely, 2141844164 is an apocalyptic number.

141844164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141844164 is an abundant number, since it is smaller than the sum of its proper divisors (270796092).

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

141844164 is a wasteful number, since it uses less digits than its factorization.

141844164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153536 (or 153534 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 141844164 is about 11909.8347595590. The cubic root of 141844164 is about 521.5194267581.

The spelling of 141844164 in words is "one hundred forty-one million, eight hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 153511 307022 460533 614044 921066 1074577 1688621 1842132 2149154 3223731 3377242 4298308 5065863 6447462 6754484 10131726 11820347 12894924 20263452 23640694 35461041 47281388 70922082 141844164