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141151920 = 243571323281
BaseRepresentation
bin10000110100111…
…00111010110000
3100211121021000220
420122130322300
5242113330140
622001213040
73332525430
oct1032347260
9324537026
10141151920
1172749588
123b331180
1323321760
1414a642c0
15c5d2bd0
hex869ceb0

141151920 has 320 divisors, whose sum is σ = 563963904. Its totient is φ = 28385280.

The previous prime is 141151909. The next prime is 141151937. The reversal of 141151920 is 29151141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 502180 + ... + 502460.

Almost surely, 2141151920 is an apocalyptic number.

141151920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281981952).

141151920 is an abundant number, since it is smaller than the sum of its proper divisors (422811984).

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

141151920 is a wasteful number, since it uses less digits than its factorization.

141151920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 141151920 is about 11880.7373508550. The cubic root of 141151920 is about 520.6696500826.

The spelling of 141151920 in words is "one hundred forty-one million, one hundred fifty-one thousand, nine hundred twenty".