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3107943340096 = 2672314812
BaseRepresentation
bin101101001110011111110…
…110111101100001000000
3102000010010220201002211011
4231032133312331201000
5401410031443340341
610335434111530304
7440353506336400
oct55163766754100
912003126632734
103107943340096
11a99086a9a861
1242240bb29994
13197101c04b8a
14aa5d4cb2800
1555ca0ed5b81
hex2d39fdbd840

3107943340096 has 63 divisors (see below), whose sum is σ = 7174463178477. Its totient is φ = 1331933406720.

The previous prime is 3107943340091. The next prime is 3107943340123. The reversal of 3107943340096 is 6900433497013.

The square root of 3107943340096 is 1762936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 186852165696 + 2921091174400 = 432264^2 + 1709120^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3107943340091) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 98708676 + ... + 98740156.

Almost surely, 23107943340096 is an apocalyptic number.

3107943340096 is the 1762936-th square number.

It is an amenable number.

3107943340096 is an abundant number, since it is smaller than the sum of its proper divisors (4066519838381).

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

3107943340096 is an frugal number, since it uses more digits than its factorization.

3107943340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62988 (or 31490 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

Multiplying 3107943340096 by its sum of digits (49), we get a square (152289223664704 = 123405522).

3107943340096 divided by its sum of digits (49) gives a square (63427415104 = 2518482).

The spelling of 3107943340096 in words is "three trillion, one hundred seven billion, nine hundred forty-three million, three hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 31481 62962 125924 220367 251848 440734 503696 881468 1007392 1542569 1762936 2014784 3085138 3525872 6170276 7051744 12340552 14103488 24681104 49362208 98724416 991053361 1982106722 3964213444 6937373527 7928426888 13874747054 15856853776 27749494108 31713707552 48561614689 55498988216 63427415104 97123229378 110997976432 194246458756 221995952864 388492917512 443991905728 776985835024 1553971670048 3107943340096