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1054465081344 = 214341923171
BaseRepresentation
bin11110101100000110000…
…01000100000000000000
310201210202111002020020000
433112003001010000000
5114234021030100334
62124225314120000
7136116425206443
oct17260301040000
93653674066200
101054465081344
11377218059714
12150442280000
137858810731c
1439071b9365a
151c6680ed299
hexf583044000

1054465081344 has 900 divisors, whose sum is σ = 3480402739968. Its totient is φ = 317708697600.

The previous prime is 1054465081337. The next prime is 1054465081463. The reversal of 1054465081344 is 4431805644501.

1054465081344 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 6 + 508 + 134 + 4 = 666.

It is a super-2 number, since 2×10544650813442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054465081344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14851620829 + ... + 14851620899.

Almost surely, 21054465081344 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 1054465081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740201369984).

1054465081344 is an abundant number, since it is smaller than the sum of its proper divisors (2425937658624).

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

1054465081344 is an frugal number, since it uses more digits than its factorization.

1054465081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1054465081344 in words is "one trillion, fifty-four billion, four hundred sixty-five million, eighty-one thousand, three hundred forty-four".