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141936058368 = 21332131731281
BaseRepresentation
bin1000010000110000001…
…1000110000000000000
3111120100202201211112200
42010030003012000000
54311141112331433
6145112102153200
713153210406226
oct2041403060000
9446322654480
10141936058368
1155216228485
1223612122800
13104cca0c270
146c26800b16
153a5aba3613
hex210c0c6000

141936058368 has 672 divisors, whose sum is σ = 484324468992. Its totient is φ = 39636172800.

The previous prime is 141936058309. The next prime is 141936058457. The reversal of 141936058368 is 863850639141.

141936058368 is a `hidden beast` number, since 14 + 19 + 3 + 605 + 8 + 3 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505110388 + ... + 505110668.

It is an arithmetic number, because the mean of its divisors is an integer number (720720936).

Almost surely, 2141936058368 is an apocalyptic number.

141936058368 is a gapful number since it is divisible by the number (18) 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 141936058368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242162234496).

141936058368 is an abundant number, since it is smaller than the sum of its proper divisors (342388410624).

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

141936058368 is a wasteful number, since it uses less digits than its factorization.

141936058368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 141936058368 in words is "one hundred forty-one billion, nine hundred thirty-six million, fifty-eight thousand, three hundred sixty-eight".