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10404004023 = 3272331613797
BaseRepresentation
bin10011011000010000…
…01000000010110111
3222212001222011110100
421230020020002313
5132301411112043
64440213525143
7515551401150
oct115410100267
928761864410
1010404004023
114459875236
1220243437b3
13c9a6013ca
14709a8a927
1540d5b2cd3
hex26c2080b7

10404004023 has 96 divisors (see below), whose sum is σ = 18807939072. Its totient is φ = 5411577600.

The previous prime is 10404004007. The next prime is 10404004027. The reversal of 10404004023 is 32040040401.

It is not a de Polignac number, because 10404004023 - 24 = 10404004007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10404003987 and 10404004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404004027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738161 + ... + 2741957.

It is an arithmetic number, because the mean of its divisors is an integer number (195916032).

Almost surely, 210404004023 is an apocalyptic number.

10404004023 is a deficient number, since it is larger than the sum of its proper divisors (8403935049).

10404004023 is a wasteful number, since it uses less digits than its factorization.

10404004023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10404004023 its reverse (32040040401), we get a palindrome (42444044424).

The spelling of 10404004023 in words is "ten billion, four hundred four million, four thousand, twenty-three".

Divisors: 1 3 7 9 21 23 31 61 63 69 93 161 183 207 217 279 427 483 549 651 713 1281 1403 1449 1891 1953 2139 3797 3843 4209 4991 5673 6417 9821 11391 12627 13237 14973 17019 26579 29463 34173 39711 43493 44919 79737 87331 88389 117707 119133 130479 231617 239211 261993 304451 353121 391437 611317 694851 785979 823949 913353 1059363 1621319 1833951 2084553 2471847 2707261 2740059 4863957 5327191 5501853 7180127 7415541 8121783 14591871 15981573 18950827 21540381 24365349 37290337 47944719 50260889 56852481 64621143 111871011 150782667 165142921 170557443 335613033 452348001 495428763 1156000447 1486286289 3468001341 10404004023