Search a number
-
+
41040114102 = 23313130344867
BaseRepresentation
bin100110001110001011…
…100111000110110110
310220221011012210211000
4212032023213012312
51133022232122402
630504212024130
72652004133301
oct461613470666
9126834183730
1041040114102
1116450090179
127b54302046
133b406c61b0
141db479bb38
151102e8dc1c
hex98e2e71b6

41040114102 has 64 divisors (see below), whose sum is σ = 98293224960. Its totient is φ = 12617754912.

The previous prime is 41040114097. The next prime is 41040114127. The reversal of 41040114102 is 20141104014.

41040114102 is a `hidden beast` number, since 410 + 40 + 114 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892273 + ... + 937139.

It is an arithmetic number, because the mean of its divisors is an integer number (1535831640).

Almost surely, 241040114102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41040114102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49146612480).

41040114102 is an abundant number, since it is smaller than the sum of its proper divisors (57253110858).

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

41040114102 is a wasteful number, since it uses less digits than its factorization.

41040114102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46194 (or 46188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41040114102 its reverse (20141104014), we get a palindrome (61181218116).

The spelling of 41040114102 in words is "forty-one billion, forty million, one hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1303 2606 3909 7818 11727 16939 23454 33878 35181 44867 50817 70362 89734 101634 134601 152451 269202 304902 403803 457353 583271 807606 914706 1166542 1211409 1749813 2422818 3499626 5249439 10498878 15748317 31496634 58461701 116923402 175385103 350770206 526155309 760002113 1052310618 1520004226 1578465927 2280006339 3156931854 4560012678 6840019017 13680038034 20520057051 41040114102