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404314044440 = 235109433214163
BaseRepresentation
bin1011110001000101111…
…11101011100000011000
31102122121100012112102112
411320202333223200120
523111013343410230
6505423405051452
741132164450025
oct5704277534030
91378540175375
10404314044440
11146517812889
1266437b56b88
132c185337267
14157d710454c
15a7b5503d95
hex5e22feb818

404314044440 has 64 divisors (see below), whose sum is σ = 920177042400. Its totient is φ = 159871076352.

The previous prime is 404314044427. The next prime is 404314044467. The reversal of 404314044440 is 44440413404.

It is a junction number, because it is equal to n+sod(n) for n = 404314044397 and 404314044406.

It is a congruent number.

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, 1780799 + ... + 1994961.

Almost surely, 2404314044440 is an apocalyptic number.

404314044440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404314044440 is an abundant number, since it is smaller than the sum of its proper divisors (515862997960).

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

404314044440 is a wasteful number, since it uses less digits than its factorization.

404314044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214716 (or 214712 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 404314044440 its reverse (44440413404), we get a palindrome (448754457844).

The spelling of 404314044440 in words is "four hundred four billion, three hundred fourteen million, forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 433 436 545 866 872 1090 1732 2165 2180 3464 4330 4360 8660 17320 47197 94394 188788 214163 235985 377576 428326 471970 856652 943940 1070815 1713304 1887880 2141630 4283260 8566520 23343767 46687534 92732579 93375068 116718835 185465158 186750136 233437670 370930316 463662895 466875340 741860632 927325790 933750680 1854651580 3709303160 10107851111 20215702222 40431404444 50539255555 80862808888 101078511110 202157022220 404314044440