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141055364736 = 273611213312
BaseRepresentation
bin1000001101011110001…
…1100000111010000000
3111111002101112222000000
42003113203200322000
54302340133132421
6144444442000000
713122324550266
oct2032743407200
9444071488000
10141055364736
1154904092300
12234071a6000
13103bc415380
146b8186c436
153a086dc226
hex20d78e0e80

141055364736 has 1008 divisors, whose sum is σ = 515334558690. Its totient is φ = 38183270400.

The previous prime is 141055364719. The next prime is 141055364743. The reversal of 141055364736 is 637463550141.

141055364736 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 553 + 64 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135630158400 + 5425206336 = 368280^2 + 73656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141055364691 and 141055364700.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 4550173041 + ... + 4550173071.

Almost surely, 2141055364736 is an apocalyptic number.

141055364736 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 141055364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257667279345).

141055364736 is an abundant number, since it is smaller than the sum of its proper divisors (374279193954).

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

141055364736 is an equidigital number, since it uses as much as digits as its factorization.

141055364736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 141055364736 in words is "one hundred forty-one billion, fifty-five million, three hundred sixty-four thousand, seven hundred thirty-six".