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4042015400430 = 2335717125801911
BaseRepresentation
bin111010110100011010111…
…001000110000111101110
3112022102011000002012002000
4322310122321012013232
51012211021420303210
612332513133513130
7565011624006660
oct72643271060756
915272130065060
104042015400430
1113192333558a7
125534529427a6
13234211588017
14dd8c5454530
157021e897ac0
hex3ad1ae461ee

4042015400430 has 128 divisors (see below), whose sum is σ = 13043142236160. Its totient is φ = 869542801920.

The previous prime is 4042015400419. The next prime is 4042015400461. The reversal of 4042015400430 is 340045102404.

It is a happy number.

4042015400430 is a `hidden beast` number, since 40 + 42 + 0 + 1 + 540 + 0 + 43 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4042015400394 and 4042015400403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62868826 + ... + 62933085.

It is an arithmetic number, because the mean of its divisors is an integer number (101899548720).

Almost surely, 24042015400430 is an apocalyptic number.

4042015400430 is an abundant number, since it is smaller than the sum of its proper divisors (9001126835730).

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

4042015400430 is a wasteful number, since it uses less digits than its factorization.

4042015400430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125801951 (or 125801945 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 4042015400430 in words is "four trillion, forty-two billion, fifteen million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4590 5355 6426 10710 16065 32130 125801911 251603822 377405733 629009555 754811466 880613377 1132217199 1258019110 1761226754 1887028665 2138632487 2264434398 2641840131 3396651597 3774057330 4277264974 4403066885 5283680262 5661085995 6415897461 6793303194 7925520393 8806133770 10693162435 11322171990 12831794922 13209200655 14970427409 15851040786 16983257985 19247692383 21386324870 23776561179 26418401310 29940854818 32079487305 33966515970 38495384766 39627601965 44911282227 47553122358 57743077149 64158974610 74852137045 79255203930 89822564454 96238461915 115486154298 118882805895 134733846681 149704274090 192476923830 224556411135 237765611790 269467693362 288715385745 404201540043 449112822270 577430771490 673669233405 808403080086 1347338466810 2021007700215 4042015400430