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416097243136 = 212100792
BaseRepresentation
bin1100000111000010101…
…01000001000000000000
31110210000112101001022001
412003201111001000000
523304131343240021
6515052531553344
742030164132011
oct6034125010000
91423015331261
10416097243136
11150514056423
126878615b854
13303125b1293
14161d4009008
15ac54bec091
hex60e1541000

416097243136 has 39 divisors (see below), whose sum is σ = 832175465311. Its totient is φ = 208027979776.

The previous prime is 416097243131. The next prime is 416097243143. The reversal of 416097243136 is 631342790614.

The square root of 416097243136 is 645056.

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

It is a super-2 number, since 2×4160972431362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416097243131) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 41278545 + ... + 41288623.

Almost surely, 2416097243136 is an apocalyptic number.

416097243136 is the 645056-th square number.

It is an amenable number.

416097243136 is a deficient number, since it is larger than the sum of its proper divisors (416078222175).

416097243136 is an frugal number, since it uses more digits than its factorization.

416097243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20182 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 416097243136 in words is "four hundred sixteen billion, ninety-seven million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 10079 20158 40316 80632 161264 322528 645056 1290112 2580224 5160448 10320896 20641792 41283584 101586241 203172482 406344964 812689928 1625379856 3250759712 6501519424 13003038848 26006077696 52012155392 104024310784 208048621568 416097243136