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1056442383360 = 21035572133143
BaseRepresentation
bin11110101111110001101…
…11110111110000000000
310201222212021201120200000
433113320313313300000
5114302043222231420
62125153430400000
7136216425044400
oct17277067676000
93658767646600
101056442383360
11378042202a11
121508b4500000
1378811965210
14391bc620800
151c7319ca690
hexf5f8df7c00

1056442383360 has 3168 divisors, whose sum is σ = 5023148562432. Its totient is φ = 210691031040.

The previous prime is 1056442383323. The next prime is 1056442383439. The reversal of 1056442383360 is 633832446501.

1056442383360 is a `hidden beast` number, since 1 + 0 + 56 + 4 + 4 + 238 + 3 + 360 = 666.

It is a super-2 number, since 2×10564423833602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24568427499 + ... + 24568427541.

It is an arithmetic number, because the mean of its divisors is an integer number (1585589824).

Almost surely, 21056442383360 is an apocalyptic number.

1056442383360 is a gapful number since it is divisible by the number (10) 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 1056442383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511574281216).

1056442383360 is an abundant number, since it is smaller than the sum of its proper divisors (3966706179072).

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

1056442383360 is a wasteful number, since it uses less digits than its factorization.

1056442383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 1056442383360 in words is "one trillion, fifty-six billion, four hundred forty-two million, three hundred eighty-three thousand, three hundred sixty".