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34041255885 = 3357136774093
BaseRepresentation
bin11111101101000001…
…000101011111001101
310020212101121222021000
4133231001011133031
51024204030142020
623345514130513
72313400620660
oct375501053715
9106771558230
1034041255885
111348944642a
126720420a39
1332966ccb80
14190d05b6d7
15d437ed090
hex7ed0457cd

34041255885 has 128 divisors (see below), whose sum is σ = 74611676160. Its totient is φ = 14339939328.

The previous prime is 34041255881. The next prime is 34041255947. The reversal of 34041255885 is 58855214043.

34041255885 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 12 + 558 + 85 = 666.

It is not a de Polignac number, because 34041255885 - 22 = 34041255881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34041255885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041255881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8314899 + ... + 8318991.

It is an arithmetic number, because the mean of its divisors is an integer number (582903720).

Almost surely, 234041255885 is an apocalyptic number.

34041255885 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34041255885 is an abundant number, since it is smaller than the sum of its proper divisors (40570420275).

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

34041255885 is a wasteful number, since it uses less digits than its factorization.

34041255885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 34041255885 in words is "thirty-four billion, forty-one million, two hundred fifty-five thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 677 819 945 1365 1755 2031 2457 3385 4093 4095 4739 6093 8801 10155 12279 12285 14217 18279 20465 23695 26403 28651 30465 36837 42651 44005 53209 61395 61607 71085 79209 85953 91395 110511 127953 132015 143255 159627 184185 184821 213255 237627 257859 266045 308035 372463 396045 429765 478881 552555 554463 639765 773577 798135 924105 1117389 1188135 1289295 1436643 1663389 1862315 2394405 2770961 2772315 3352167 3867885 5586945 7183215 8312883 8316945 10056501 13854805 16760835 19396727 24938649 36022493 41564415 50282505 58190181 74815947 96983635 108067479 124693245 174570543 180112465 252157451 290950905 324202437 374079735 523711629 540337395 756472353 872852715 972607311 1260787255 1621012185 2269417059 2618558145 3782361765 4863036555 6808251177 11347085295 34041255885