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1054244056320 = 28345713195881
BaseRepresentation
bin11110101011101011101…
…01111010110100000000
310201210012002011222220000
433111311311322310000
5114233042434300240
62124151340520000
7136111102423560
oct17256565726400
93653162158800
101054244056320
11377114316304
121503a0250000
137855139b1a0
143905069ada0
151c6539de430
hexf575d7ad00

1054244056320 has 1440 divisors, whose sum is σ = 4887992820480. Its totient is φ = 210691031040.

The previous prime is 1054244056297. The next prime is 1054244056337. The reversal of 1054244056320 is 236504424501.

1054244056320 is a `hidden beast` number, since 1 + 0 + 54 + 2 + 4 + 40 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10542440563202 (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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179259780 + ... + 179265660.

Almost surely, 21054244056320 is an apocalyptic number.

1054244056320 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 1054244056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443996410240).

1054244056320 is an abundant number, since it is smaller than the sum of its proper divisors (3833748764160).

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

1054244056320 is a wasteful number, since it uses less digits than its factorization.

1054244056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1054244056320 in words is "one trillion, fifty-four billion, two hundred forty-four million, fifty-six thousand, three hundred twenty".