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141224541696 = 2932722392617
BaseRepresentation
bin1000001110000110100…
…0110111111000000000
3111111112011220001011100
42003201220313320000
54303211440313241
6144513324014400
713126450540500
oct2034150677000
9444464801140
10141224541696
1154990632477
1223453991400
1310418499b94
146b9a109a00
153a184a89b6
hex20e1a37e00

141224541696 has 360 divisors, whose sum is σ = 476293577760. Its totient is φ = 40165687296.

The previous prime is 141224541691. The next prime is 141224541751. The reversal of 141224541696 is 696145422141.

141224541696 is a `hidden beast` number, since 1 + 4 + 1 + 224 + 5 + 416 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141224541691) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53962980 + ... + 53965596.

It is an arithmetic number, because the mean of its divisors is an integer number (1323037716).

Almost surely, 2141224541696 is an apocalyptic number.

141224541696 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 141224541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238146788880).

141224541696 is an abundant number, since it is smaller than the sum of its proper divisors (335069036064).

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

141224541696 is a wasteful number, since it uses less digits than its factorization.

141224541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2868 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 141224541696 in words is "one hundred forty-one billion, two hundred twenty-four million, five hundred forty-one thousand, six hundred ninety-six".