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404133230424 = 233711622135153
BaseRepresentation
bin1011110000110000011…
…01111011011101011000
31102122010201222020020010
411320120031323131120
523110131101333144
6505353425401520
741124540531330
oct5703015733530
91378121866203
10404133230424
11146434744610
12663a74992a0
132c156a39a11
14157bb0b80c0
15a7a46d95b9
hex5e1837b758

404133230424 has 128 divisors (see below), whose sum is σ = 1259874362880. Its totient is φ = 104949811200.

The previous prime is 404133230407. The next prime is 404133230429. The reversal of 404133230424 is 424032331404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 404133230391 and 404133230400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404133230429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11478832 + ... + 11513984.

It is an arithmetic number, because the mean of its divisors is an integer number (9842768460).

Almost surely, 2404133230424 is an apocalyptic number.

404133230424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404133230424 is an abundant number, since it is smaller than the sum of its proper divisors (855741132456).

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

404133230424 is a wasteful number, since it uses less digits than its factorization.

404133230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41401 (or 41397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 404133230424 its reverse (424032331404), we get a palindrome (828165561828).

The spelling of 404133230424 in words is "four hundred four billion, one hundred thirty-three million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 6221 12442 18663 24884 35153 37326 43547 49768 68431 70306 74652 87094 105459 130641 136862 140612 149304 174188 205293 210918 246071 261282 273724 281224 348376 386683 410586 421836 479017 492142 522564 547448 738213 773366 821172 843672 958034 984284 1045128 1160049 1437051 1476426 1546732 1642344 1916068 1968568 2320098 2706781 2874102 2952852 3093464 3832136 4640196 5413562 5748204 5905704 8120343 9280392 10827124 11496408 16240686 21654248 32481372 64962744 218686813 437373626 656060439 874747252 1312120878 1530807691 1749494504 2405554943 2624241756 3061615382 4592423073 4811109886 5248483512 6123230764 7216664829 9184846146 9622219772 12246461528 14433329658 16838884601 18369692292 19244439544 28866659316 33677769202 36739384584 50516653803 57733318632 67355538404 101033307606 134711076808 202066615212 404133230424