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404004040443 = 3443665917419
BaseRepresentation
bin1011110000100001000…
…01000110111011111011
31102121210201212200220000
411320100201012323323
523104400013243233
6505332532404043
741121411453213
oct5702041067373
91377721780800
10404004040443
11146378826233
1266370176623
132c136045b43
14157a7c89243
15a7981bad13
hex5e10846efb

404004040443 has 40 divisors (see below), whose sum is σ = 617675572800. Its totient is φ = 263017791792.

The previous prime is 404004040441. The next prime is 404004040471. The reversal of 404004040443 is 344040400404.

404004040443 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 404004040443 - 21 = 404004040441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (404004040441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23184588 + ... + 23202006.

It is an arithmetic number, because the mean of its divisors is an integer number (15441889320).

Almost surely, 2404004040443 is an apocalyptic number.

404004040443 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

404004040443 is a deficient number, since it is larger than the sum of its proper divisors (213671532357).

404004040443 is a wasteful number, since it uses less digits than its factorization.

404004040443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24133 (or 24124 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 404004040443 its reverse (344040400404), we get a palindrome (748044440847).

The spelling of 404004040443 in words is "four hundred four billion, four million, forty thousand, four hundred forty-three".

Divisors: 1 3 9 27 43 81 129 387 1161 3483 6659 17419 19977 52257 59931 156771 179793 286337 470313 539379 749017 859011 1410939 2247051 2577033 6741153 7731099 20223459 23193297 60670377 115993121 347979363 1043938089 3131814267 4987704203 9395442801 14963112609 44889337827 134668013481 404004040443