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1060144360704 = 283411131931607
BaseRepresentation
bin11110110110101011000…
…01110010110100000000
310202100102021122111220000
433123111201302310000
5114332133424020304
62131005032520000
7136410236245302
oct17332541626400
93670367574800
101060144360704
11379671943320
12151568250000
1378c818cbb60
1439450157972
151c89b9d2939
hexf6d5872d00

1060144360704 has 1440 divisors, whose sum is σ = 4042026024960. Its totient is φ = 271425945600.

The previous prime is 1060144360661. The next prime is 1060144360741. The reversal of 1060144360704 is 4070634410601.

1060144360704 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 4 + 43 + 607 + 0 + 4 = 666.

It is a super-2 number, since 2×10601443607042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1746530769 + ... + 1746531375.

Almost surely, 21060144360704 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 1060144360704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021013012480).

1060144360704 is an abundant number, since it is smaller than the sum of its proper divisors (2981881664256).

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

1060144360704 is a wasteful number, since it uses less digits than its factorization.

1060144360704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1060144360704 in words is "one trillion, sixty billion, one hundred forty-four million, three hundred sixty thousand, seven hundred four".