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1000560150144 = 27328355718787
BaseRepresentation
bin11101000111101100000…
…10000100011010000000
310112122121202110000000200
432203312002010122000
5112343121344301034
62043352340245200
7132200545643562
oct16436602043200
93478552400020
101000560150144
11356376135aa5
12141ab96a0800
1373477351029
14365da9b9332
151b060a11a99
hexe8f6084680

1000560150144 has 192 divisors, whose sum is σ = 2919292215840. Its totient is φ = 328892663808.

The previous prime is 1000560150119. The next prime is 1000560150173. The reversal of 1000560150144 is 4410510650001.

1000560150144 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 601 + 50 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10005601501442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53248719 + ... + 53267505.

Almost surely, 21000560150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000560150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459646107920).

1000560150144 is an abundant number, since it is smaller than the sum of its proper divisors (1918732065696).

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

1000560150144 is a wasteful number, since it uses less digits than its factorization.

1000560150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19447 (or 19432 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1000560150144 in words is "one trillion, five hundred sixty million, one hundred fifty thousand, one hundred forty-four".