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404545311144 = 233313144068843
BaseRepresentation
bin1011110001100001100…
…01111001000110101000
31102200012110101002201000
411320300301321012220
523112002044424034
6505502345555000
741141003260002
oct5706061710650
91380173332630
10404545311144
11146626310997
12664a14a5a60
132c1c121ac70
1415819b05372
15a7ca987599
hex5e30c791a8

404545311144 has 64 divisors (see below), whose sum is σ = 1210178289600. Its totient is φ = 124475479488.

The previous prime is 404545311097. The next prime is 404545311161. The reversal of 404545311144 is 441113545404.

404545311144 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 4 + 531 + 114 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404545311099 and 404545311108.

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, 72031614 + ... + 72037229.

It is an arithmetic number, because the mean of its divisors is an integer number (18909035775).

Almost surely, 2404545311144 is an apocalyptic number.

It is an amenable number.

404545311144 is an abundant number, since it is smaller than the sum of its proper divisors (805632978456).

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

404545311144 is a wasteful number, since it uses less digits than its factorization.

404545311144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144068871 (or 144068861 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 404545311144 its reverse (441113545404), we get a palindrome (845658856548).

The spelling of 404545311144 in words is "four hundred four billion, five hundred forty-five million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 144068843 288137686 432206529 576275372 864413058 1152550744 1296619587 1728826116 1872894959 2593239174 3457652232 3745789918 3889858761 5186478348 5618684877 7491579836 7779717522 10372956696 11237369754 14983159672 15559435044 16856054631 22474739508 31118870088 33712109262 44949479016 50568163893 67424218524 101136327786 134848437048 202272655572 404545311144