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400072442465 = 5115376699049
BaseRepresentation
bin1011101001001100010…
…11010000001001100001
31102020122201212211101002
411310212023100021201
523023322021124330
6503442444521345
740622111436353
oct5644613201141
91366581784332
10400072442465
11144740511503
1265653550255
132b95a6537c7
1415513a5d0d3
15a617e57e45
hex5d262d0261

400072442465 has 16 divisors (see below), whose sum is σ = 480619074000. Its totient is φ = 319703334912.

The previous prime is 400072442431. The next prime is 400072442501. The reversal of 400072442465 is 564244270004.

It can be written as a sum of positive squares in 8 ways, for example, as 106829615104 + 293242827361 = 326848^2 + 541519^2 .

It is a cyclic number.

It is not a de Polignac number, because 400072442465 - 214 = 400072426081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44207261 + ... + 44216309.

It is an arithmetic number, because the mean of its divisors is an integer number (30038692125).

Almost surely, 2400072442465 is an apocalyptic number.

It is an amenable number.

400072442465 is a deficient number, since it is larger than the sum of its proper divisors (80546631535).

400072442465 is a wasteful number, since it uses less digits than its factorization.

400072442465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17876.

The product of its (nonzero) digits is 215040, while the sum is 38.

The spelling of 400072442465 in words is "four hundred billion, seventy-two million, four hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 5 1153 5765 7669 9049 38345 45245 8842357 10433497 44211785 52167485 69396781 346983905 80014488493 400072442465