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141953413056 = 26371321797379
BaseRepresentation
bin1000010000110100010…
…1010010111111000000
3111120101222101112200220
42010031011102333000
54311210033204211
6145113522143040
713153511050050
oct2041505227700
9446358345626
10141953413056
11552250012a4
1223617ab1a80
13105034a7600
146c28c3b560
153a5c480806
hex210d152fc0

141953413056 has 672 divisors, whose sum is σ = 498525027840. Its totient is φ = 34780741632.

The previous prime is 141953413031. The next prime is 141953413087. The reversal of 141953413056 is 650314359141.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 141953412999 and 141953413017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374547075 + ... + 374547453.

It is an arithmetic number, because the mean of its divisors is an integer number (741852720).

Almost surely, 2141953413056 is an apocalyptic number.

141953413056 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 141953413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249262513920).

141953413056 is an abundant number, since it is smaller than the sum of its proper divisors (356571614784).

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

141953413056 is a wasteful number, since it uses less digits than its factorization.

141953413056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 141953413056 in words is "one hundred forty-one billion, nine hundred fifty-three million, four hundred thirteen thousand, fifty-six".