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3097914386112 = 2633713151130469
BaseRepresentation
bin101101000101001010000…
…101100010011011000000
3101222011020222110110022000
4231011022011202123000
5401224012040323422
610331055012344000
7436550130543450
oct55051205423300
911864228413260
103097914386112
11a948aa9aa237
12420491315000
1319619421a890
14a9d22d73d60
15558b5808cac
hex2d14a1626c0

3097914386112 has 448 divisors, whose sum is σ = 11283296102400. Its totient is φ = 811615334400.

The previous prime is 3097914386111. The next prime is 3097914386137. The reversal of 3097914386112 is 2116834197903.

3097914386112 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 9 + 14 + 3 + 8 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3097914386111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23679214 + ... + 23809682.

It is an arithmetic number, because the mean of its divisors is an integer number (25185928800).

Almost surely, 23097914386112 is an apocalyptic number.

3097914386112 is a gapful number since it is divisible by the number (32) 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 3097914386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641648051200).

3097914386112 is an abundant number, since it is smaller than the sum of its proper divisors (8185381716288).

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

3097914386112 is a wasteful number, since it uses less digits than its factorization.

3097914386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130661 (or 130645 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3097914386112 in words is "three trillion, ninety-seven billion, nine hundred fourteen million, three hundred eighty-six thousand, one hundred twelve".