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400634644113 = 321180917092927
BaseRepresentation
bin1011101010001111010…
…11111000011010010001
31102022002220202122001100
411311013223320122101
523030444432102423
6504014330455013
740642046200254
oct5650753703221
91368086678040
10400634644113
111449a98a2970
126578b894469
132ba19c769c2
14155685a709b
15a64c4ab343
hex5d47af8691

400634644113 has 48 divisors (see below), whose sum is σ = 632669356800. Its totient is φ = 242284035840.

The previous prime is 400634644097. The next prime is 400634644127. The reversal of 400634644113 is 311446436004.

400634644113 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 3 + 4 + 644 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 400634644113 - 24 = 400634644097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400634644183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136874056 + ... + 136876982.

It is an arithmetic number, because the mean of its divisors is an integer number (13180611600).

Almost surely, 2400634644113 is an apocalyptic number.

It is an amenable number.

400634644113 is a deficient number, since it is larger than the sum of its proper divisors (232034712687).

400634644113 is a wasteful number, since it uses less digits than its factorization.

400634644113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 400634644113 in words is "four hundred billion, six hundred thirty-four million, six hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 809 1709 2427 2927 5127 7281 8781 8899 15381 18799 26343 26697 32197 56397 80091 96591 169191 289773 1382581 2367943 4147743 5002243 7103829 12443229 15006729 15208391 21311487 26047373 45020187 45625173 55024673 78142119 136875519 165074019 234426357 495222057 4046814587 12140443761 36421331283 44514960457 133544881371 400634644113