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3360106080144 = 24321117293942457
BaseRepresentation
bin110000111001010101111…
…011011110011110010000
3102220020000120101112112200
4300321111323132132100
5420022444124031034
611051340022323200
7464521363301622
oct60712573363620
912806016345480
103360106080144
111086016314680
12463264889500
131b4b1a07aab8
14b88b6a22c12
155c60db0ba99
hex30e55ede790

3360106080144 has 240 divisors, whose sum is σ = 10865898912960. Its totient is φ = 957970391040.

The previous prime is 3360106080137. The next prime is 3360106080193. The reversal of 3360106080144 is 4410806010633.

It is a happy number.

3360106080144 is a `hidden beast` number, since 3 + 3 + 6 + 0 + 1 + 0 + 608 + 0 + 1 + 44 = 666.

It is a super-2 number, since 2×33601060801442 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3360106080099 and 3360106080108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79120164 + ... + 79162620.

It is an arithmetic number, because the mean of its divisors is an integer number (45274578804).

Almost surely, 23360106080144 is an apocalyptic number.

3360106080144 is a gapful number since it is divisible by the number (34) 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 3360106080144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432949456480).

3360106080144 is an abundant number, since it is smaller than the sum of its proper divisors (7505792832816).

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

3360106080144 is a wasteful number, since it uses less digits than its factorization.

3360106080144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45438 (or 45429 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3360106080144 in words is "three trillion, three hundred sixty billion, one hundred six million, eighty thousand, one hundred forty-four".