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141438960 = 24345132373
BaseRepresentation
bin10000110111000…
…10111111110000
3100212010211210000
420123202333300
5242202021320
622011310000
73335132325
oct1033427760
9325124700
10141438960
1172925203
123b44b300
13233c22c0
1414adab4c
15c63cc90
hex86e2ff0

141438960 has 400 divisors, whose sum is σ = 559589184. Its totient is φ = 32845824.

The previous prime is 141438919. The next prime is 141438961. The reversal of 141438960 is 69834141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141438961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1937484 + ... + 1937556.

Almost surely, 2141438960 is an apocalyptic number.

141438960 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 141438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279794592).

141438960 is an abundant number, since it is smaller than the sum of its proper divisors (418150224).

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

141438960 is a wasteful number, since it uses less digits than its factorization.

141438960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 141438960 is about 11892.8112740428. The cubic root of 141438960 is about 521.0223476672.

The spelling of 141438960 in words is "one hundred forty-one million, four hundred thirty-eight thousand, nine hundred sixty".