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141731656416 = 2534721958733
BaseRepresentation
bin1000001111111111011…
…1010111001011100000
3111112211112010010210000
42003333313113023200
54310231301001131
6145035521140000
713145146126200
oct2037767271340
9445745103700
10141731656416
1155120909249
122357578a600
131049957346c
146c075d4400
153a47c79ce6
hex20ffdd72e0

141731656416 has 360 divisors, whose sum is σ = 510411381480. Its totient is φ = 38362802688.

The previous prime is 141731656393. The next prime is 141731656463. The reversal of 141731656416 is 614656137141.

141731656416 is a `hidden beast` number, since 1 + 4 + 1 + 73 + 1 + 6 + 564 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2383786 + ... + 2442518.

It is an arithmetic number, because the mean of its divisors is an integer number (1417809393).

Almost surely, 2141731656416 is an apocalyptic number.

141731656416 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 141731656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255205690740).

141731656416 is an abundant number, since it is smaller than the sum of its proper divisors (368679725064).

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

141731656416 is a wasteful number, since it uses less digits than its factorization.

141731656416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58788 (or 58764 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 141731656416 in words is "one hundred forty-one billion, seven hundred thirty-one million, six hundred fifty-six thousand, four hundred sixteen".