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404024223304 = 231340155717393
BaseRepresentation
bin1011110000100011011…
…10000110011001001000
31102121212010212002120101
411320101232012121020
523104420200121204
6505334533135144
741122045143322
oct5702156063110
91377763762511
10404024223304
11146389160989
1266376a8a4b4
132c13a291570
14157aa820612
15a799d55ea4
hex5e11b86648

404024223304 has 64 divisors (see below), whose sum is σ = 819368025840. Its totient is φ = 185663078400.

The previous prime is 404024223287. The next prime is 404024223331. The reversal of 404024223304 is 403322420404.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 107328312100 + 296695911204 = 327610^2 + 544698^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23220432 + ... + 23237824.

Almost surely, 2404024223304 is an apocalyptic number.

It is an amenable number.

404024223304 is an abundant number, since it is smaller than the sum of its proper divisors (415343802536).

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

404024223304 is a wasteful number, since it uses less digits than its factorization.

404024223304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18370 (or 18366 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 404024223304 its reverse (403322420404), we get a palindrome (807346643708).

The spelling of 404024223304 in words is "four hundred four billion, twenty-four million, two hundred twenty-three thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 104 401 557 802 1114 1604 2228 3208 4456 5213 7241 10426 14482 17393 20852 28964 34786 41704 57928 69572 139144 223357 226109 446714 452218 893428 904436 1786856 1808872 2903641 5807282 6974593 9687901 11614564 13949186 19375802 23229128 27898372 38751604 55796744 77503208 90669709 125942713 181339418 251885426 362678836 503770852 725357672 1007541704 3884848301 7769696602 15539393204 31078786408 50503027913 101006055826 202012111652 404024223304