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41234420144034 = 23213891979949109
BaseRepresentation
bin10010110000000101000101…
…11101110001011110100010
312101222222020122012121101100
421120002202331301132202
520401041043024102114
6223410455304015230
711454042241122645
oct1130024275613642
9171888218177340
1041234420144034
1112158468212897
12475b60ba61516
131a01509c113b0
14a27a840cba5c
154b79065e8909
hex2580a2f717a2

41234420144034 has 48 divisors (see below), whose sum is σ = 97294699265400. Its totient is φ = 12544957548288.

The previous prime is 41234420144033. The next prime is 41234420144089. The reversal of 41234420144034 is 43044102443214.

41234420144034 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 4 + 4 + 201 + 440 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11895980393025 + 29338439751009 = 3449055^2 + 5416497^2 .

It is a super-2 number, since 2×412344201440342 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41234420144034.

It is not an unprimeable number, because it can be changed into a prime (41234420144033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989953729 + ... + 989995380.

Almost surely, 241234420144034 is an apocalyptic number.

41234420144034 is an abundant number, since it is smaller than the sum of its proper divisors (56060279121366).

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

41234420144034 is a wasteful number, since it uses less digits than its factorization.

41234420144034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979949219 (or 1979949216 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 41234420144034 its reverse (43044102443214), we get a palindrome (84278522587248).

The spelling of 41234420144034 in words is "forty-one trillion, two hundred thirty-four billion, four hundred twenty million, one hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 10413 20826 1979949109 3959898218 5939847327 11879694654 17819541981 25739338417 35639083962 51478676834 77218015251 154436030502 176215470701 231654045753 352430941402 463308091506 528646412103 1057292824206 1585939236309 2290801119113 3171878472618 4581602238226 6872403357339 13744806714678 20617210072017 41234420144034