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113441843354112 = 2933731343127337
BaseRepresentation
bin11001110010110010111100…
…110001101001101000000000
3112212122221020010001001112000
4121302302330301221220000
5104332112343344312422
61041134244031504000
732615621426361000
oct3162627461515000
9485587203031460
10113441843354112
1133167463172559
1210881957988000
134b3b69b381410
142002886328000
15d1ad390a5cac
hex672cbcc69a00

113441843354112 has 2560 divisors, whose sum is σ = 436217413632000. Its totient is φ = 28906809458688.

The previous prime is 113441843354089. The next prime is 113441843354137. The reversal of 113441843354112 is 211453348144311.

113441843354112 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 184 + 3 + 354 + 112 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 336622680408 + ... + 336622680744.

It is an arithmetic number, because the mean of its divisors is an integer number (170397427200).

Almost surely, 2113441843354112 is an apocalyptic number.

113441843354112 is a gapful number since it is divisible by the number (12) 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 113441843354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218108706816000).

113441843354112 is an abundant number, since it is smaller than the sum of its proper divisors (322775570277888).

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

113441843354112 is a wasteful number, since it uses less digits than its factorization.

113441843354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 532 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 113441843354112 in words is "one hundred thirteen trillion, four hundred forty-one billion, eight hundred forty-three million, three hundred fifty-four thousand, one hundred twelve".