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141474816 = 2103371743
BaseRepresentation
bin10000110111010…
…11110000000000
3100212012122222000
420123223300000
5242204143231
622012144000
73335342010
oct1033536000
9325178860
10141474816
117294a13a
123b468000
1323405712
1414b09c40
15c6486e6
hex86ebc00

141474816 has 352 divisors, whose sum is σ = 518791680. Its totient is φ = 37158912.

The previous prime is 141474787. The next prime is 141474821. The reversal of 141474816 is 618474141.

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.

Its product of digits (21504) is a multiple of the sum of its prime factors (96).

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 31 ways as a sum of consecutive naturals, for example, 3290091 + ... + 3290133.

It is an arithmetic number, because the mean of its divisors is an integer number (1473840).

Almost surely, 2141474816 is an apocalyptic number.

141474816 is a gapful number since it is divisible by the number (16) 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 141474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259395840).

141474816 is an abundant number, since it is smaller than the sum of its proper divisors (377316864).

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

141474816 is a wasteful number, since it uses less digits than its factorization.

141474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 141474816 is about 11894.3186437896. The cubic root of 141474816 is about 521.0663718381.

The spelling of 141474816 in words is "one hundred forty-one million, four hundred seventy-four thousand, eight hundred sixteen".