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3040756687344 = 2431716127231067
BaseRepresentation
bin101100001111111011001…
…110001110000111110000
3101202200201120011111211210
4230033323032032013300
5344304432202443334
610244523200440120
7432454533245325
oct54177316160760
911680646144753
103040756687344
11a72639972162
1241139b319040
131909855aba4c
14a725db96b4c
155416c8995e9
hex2c3fb38e1f0

3040756687344 has 80 divisors (see below), whose sum is σ = 8317915619328. Its totient is φ = 953899600896.

The previous prime is 3040756687321. The next prime is 3040756687403. The reversal of 3040756687344 is 4437866570403.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13044099 + ... + 13275165.

Almost surely, 23040756687344 is an apocalyptic number.

3040756687344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3040756687344 is an abundant number, since it is smaller than the sum of its proper divisors (5277158931984).

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

3040756687344 is a wasteful number, since it uses less digits than its factorization.

3040756687344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247222 (or 247216 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 3040756687344 in words is "three trillion, forty billion, seven hundred fifty-six million, six hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 16127 32254 48381 64508 96762 129016 193524 231067 258032 274159 387048 462134 548318 693201 774096 822477 924268 1096636 1386402 1644954 1848536 2193272 2772804 3289908 3697072 3928139 4386544 5545608 6579816 7856278 11091216 11784417 13159632 15712556 23568834 31425112 47137668 62850224 94275336 188550672 3726417509 7452835018 11179252527 14905670036 22358505054 29811340072 44717010108 59622680144 63349097653 89434020216 126698195306 178868040432 190047292959 253396390612 380094585918 506792781224 760189171836 1013585562448 1520378343672 3040756687344