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3094966144 = 27172296211
BaseRepresentation
bin1011100001111001…
…0110111110000000
321222200201120101201
42320132112332000
522314302404034
61231035510544
7136460530624
oct27036267600
97880646351
103094966144
111349033966
127245b8454
133a4284a1a
14215087184
15131aa2014
hexb8796f80

3094966144 has 64 divisors (see below), whose sum is σ = 6558008400. Its totient is φ = 1449861120.

The previous prime is 3094966123. The next prime is 3094966157. The reversal of 3094966144 is 4416694903.

3094966144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3094966094 and 3094966103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495199 + ... + 501409.

Almost surely, 23094966144 is an apocalyptic number.

3094966144 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 3094966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279004200).

3094966144 is an abundant number, since it is smaller than the sum of its proper divisors (3463042256).

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

3094966144 is a wasteful number, since it uses less digits than its factorization.

3094966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 3094966144 is about 55632.4199006299. The cubic root of 3094966144 is about 1457.3100755498.

The spelling of 3094966144 in words is "three billion, ninety-four million, nine hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 229 272 458 544 916 1088 1832 2176 3664 3893 6211 7328 7786 12422 14656 15572 24844 29312 31144 49688 62288 99376 105587 124576 198752 211174 249152 397504 422348 498304 795008 844696 1422319 1689392 2844638 3378784 5689276 6757568 11378552 13515136 22757104 24179423 45514208 48358846 91028416 96717692 182056832 193435384 386870768 773741536 1547483072 3094966144