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141432480 = 2534571559
BaseRepresentation
bin10000110111000…
…01011010100000
3100212010111220000
420123201122200
5242201314410
622011220000
73335104410
oct1033413240
9325114800
10141432480
1172920352
123b447600
13233bc377
1414ad8640
15c63adc0
hex86e16a0

141432480 has 240 divisors, whose sum is σ = 570810240. Its totient is φ = 32306688.

The previous prime is 141432457. The next prime is 141432491. The reversal of 141432480 is 84234141.

141432480 is a `hidden beast` number, since 1 + 414 + 3 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89941 + ... + 91499.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2141432480 is an apocalyptic number.

141432480 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 141432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

141432480 is an abundant number, since it is smaller than the sum of its proper divisors (429377760).

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

141432480 is a wasteful number, since it uses less digits than its factorization.

141432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 141432480 is about 11892.5388374392. The cubic root of 141432480 is about 521.0143906979.

The spelling of 141432480 in words is "one hundred forty-one million, four hundred thirty-two thousand, four hundred eighty".