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34043544405 = 33513194323743
BaseRepresentation
bin11111101101001001…
…110100001101010101
310020212112221020112000
4133231021310031111
51024210121410110
623350035145513
72313426232023
oct375511641525
9106775836460
1034043544405
111348a769872
126721145299
133297021720
14190d495713
15d43b011c0
hex7ed274355

34043544405 has 128 divisors (see below), whose sum is σ = 70206259200. Its totient is φ = 15507894528.

The previous prime is 34043544389. The next prime is 34043544419. The reversal of 34043544405 is 50444534043.

34043544405 is a `hidden beast` number, since 34 + 0 + 43 + 544 + 40 + 5 = 666.

It is not a de Polignac number, because 34043544405 - 24 = 34043544389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34043544405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1421964 + ... + 1445706.

It is an arithmetic number, because the mean of its divisors is an integer number (548486400).

Almost surely, 234043544405 is an apocalyptic number.

It is an amenable number.

34043544405 is an abundant number, since it is smaller than the sum of its proper divisors (36162714795).

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

34043544405 is a wasteful number, since it uses less digits than its factorization.

34043544405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23832 (or 23826 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 34043544405 in words is "thirty-four billion, forty-three million, five hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 43 45 57 65 95 117 129 135 171 195 215 247 285 351 387 513 559 585 645 741 817 855 1161 1235 1677 1755 1935 2223 2451 2565 2795 3705 4085 5031 5805 6669 7353 8385 10621 11115 12255 15093 22059 23743 25155 31863 33345 36765 53105 71229 75465 95589 110295 118715 159315 213687 286767 308659 356145 451117 477945 641061 925977 1020949 1068435 1353351 1433835 1543295 2255585 2777931 3062847 3205305 4060053 4629885 5104745 5864521 6766755 8333793 9188541 12180159 13272337 13889655 15314235 17593563 19398031 20300265 27565623 29322605 39817011 41668965 45942705 52780689 58194093 60900795 66361685 87967815 96990155 119451033 137828115 158342067 174582279 199085055 252174403 263903445 290970465 358353099 523746837 597255165 756523209 791710335 872911395 1260872015 1791765495 2269569627 2618734185 3782616045 6808708881 11347848135 34043544405