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141944832 = 2113317151
BaseRepresentation
bin10000111010111…
…10100000000000
3100220002112201000
420131132200000
5242314213312
622030212000
73342340221
oct1035364000
9326075630
10141944832
1173140287
123b654000
132353b633
1414bcd248
15c6dcadc
hex875e800

141944832 has 192 divisors, whose sum is σ = 448156800. Its totient is φ = 44236800.

The previous prime is 141944819. The next prime is 141944843. The reversal of 141944832 is 238449141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939957 + ... + 940107.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2141944832 is an apocalyptic number.

141944832 is a gapful number since it is divisible by the number (12) 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 141944832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

141944832 is an abundant number, since it is smaller than the sum of its proper divisors (306211968).

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

141944832 is a wasteful number, since it uses less digits than its factorization.

141944832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 141944832 is about 11914.0602650818. The cubic root of 141944832 is about 521.6427731619.

The spelling of 141944832 in words is "one hundred forty-one million, nine hundred forty-four thousand, eight hundred thirty-two".