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141834672 = 24337173189
BaseRepresentation
bin10000111010000…
…11100110110000
3100212212221121000
420131003212300
5242302202142
622024002000
73341401110
oct1035034660
9325787530
10141834672
1173075541
123b600300
1323500455
1414ba1040
15c6ba14c
hex87439b0

141834672 has 320 divisors, whose sum is σ = 514252800. Its totient is φ = 36495360.

The previous prime is 141834659. The next prime is 141834697. The reversal of 141834672 is 276438141.

141834672 is a `hidden beast` number, since 14 + 183 + 467 + 2 = 666.

It is a super-3 number, since 3×1418346723 (a number of 25 digits) contains 333 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593604 + ... + 1593692.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2141834672 is an apocalyptic number.

141834672 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 141834672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

141834672 is an abundant number, since it is smaller than the sum of its proper divisors (372418128).

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

141834672 is a wasteful number, since it uses less digits than its factorization.

141834672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 141834672 is about 11909.4362586984. The cubic root of 141834672 is about 521.5077933978.

The spelling of 141834672 in words is "one hundred forty-one million, eight hundred thirty-four thousand, six hundred seventy-two".