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10404024021 = 341729437383
BaseRepresentation
bin10011011000010000…
…01100111011010101
3222212002000011220000
421230020030323111
5132301412232041
64440214201513
7515551513356
oct115410147325
928762004800
1010404024021
114459889266
122024353299
13c9a60a541
14709a93d2d
1540d5b8bb6
hex26c20ced5

10404024021 has 160 divisors (see below), whose sum is σ = 17870751360. Its totient is φ = 5998841856.

The previous prime is 10404023999. The next prime is 10404024091. The reversal of 10404024021 is 12042040401.

10404024021 is a `hidden beast` number, since 1 + 0 + 404 + 0 + 240 + 21 = 666.

It is not a de Polignac number, because 10404024021 - 26 = 10404023957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10404023985 and 10404024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404024091) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125349646 + ... + 125349728.

It is an arithmetic number, because the mean of its divisors is an integer number (111692196).

Almost surely, 210404024021 is an apocalyptic number.

It is an amenable number.

10404024021 is a deficient number, since it is larger than the sum of its proper divisors (7466727339).

10404024021 is a wasteful number, since it uses less digits than its factorization.

10404024021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10404024021 its reverse (12042040401), we get a palindrome (22446064422).

The spelling of 10404024021 in words is "ten billion, four hundred four million, twenty-four thousand, twenty-one".

Divisors: 1 3 9 17 27 29 43 51 73 81 83 87 129 153 219 249 261 387 459 493 657 731 747 783 1161 1241 1247 1377 1411 1479 1971 2117 2193 2241 2349 2407 3139 3483 3569 3723 3741 4233 4437 5913 6059 6351 6579 6723 7221 9417 10707 11169 11223 12699 13311 18177 19053 19737 21199 21663 28251 32121 33507 33669 35989 38097 39933 40919 53363 54531 57159 59211 60673 63597 64989 84753 91031 96363 100521 101007 103003 103501 107967 114291 122757 160089 163593 171477 175711 182019 190791 194967 254259 260537 273093 289089 309009 310503 323901 368271 480267 490779 527133 546057 572373 781611 819279 927027 931509 971703 1104813 1440801 1547527 1581399 1638171 1717119 1759517 2344833 2457837 2781081 2794527 2915109 2987087 3314439 4322403 4429129 4642581 4744197 4914513 5278551 7034499 7373511 7555573 8343243 8383581 8961261 13287387 13927743 14232591 15835653 21103497 22666719 26883783 39862161 41783229 47506959 68000157 80651349 119586483 125349687 128444741 142520877 204000471 241954047 358759449 385334223 612001413 1156002669 3468008007 10404024021