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41404224232 = 2373671131993
BaseRepresentation
bin100110100011111000…
…100101001011101000
310221212112100112000101
4212203320211023220
51134243440133412
631004300115144
72664015046000
oct464370451350
9127775315011
1041404224232
1116617672538
128036235ab4
133b9ac7c987
14200ac9d000
151124e13457
hex9a3e252e8

41404224232 has 128 divisors (see below), whose sum is σ = 92744928000. Its totient is φ = 17316440064.

The previous prime is 41404224223. The next prime is 41404224233. The reversal of 41404224232 is 23242240414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 41404224232.

It is not an unprimeable number, because it can be changed into a prime (41404224233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20773828 + ... + 20775820.

It is an arithmetic number, because the mean of its divisors is an integer number (724569750).

Almost surely, 241404224232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41404224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46372464000).

41404224232 is an abundant number, since it is smaller than the sum of its proper divisors (51340703768).

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

41404224232 is a wasteful number, since it uses less digits than its factorization.

41404224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 41404224232 its reverse (23242240414), we get a palindrome (64646464646).

The spelling of 41404224232 in words is "forty-one billion, four hundred four million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 113 134 196 226 268 343 392 452 469 536 686 791 904 938 1372 1582 1876 1993 2744 3164 3283 3752 3986 5537 6328 6566 7571 7972 11074 13132 13951 15142 15944 22148 22981 26264 27902 30284 38759 44296 45962 52997 55804 60568 77518 91924 97657 105994 111608 133531 155036 183848 195314 211988 225209 267062 310072 370979 390628 423976 450418 534124 683599 741958 781256 900836 934717 1068248 1367198 1483916 1576463 1801672 1869434 2596853 2734396 2967832 3152926 3738868 5193706 5468792 6305852 6543019 7477736 10387412 11035241 12611704 13086038 15089003 20774824 22070482 26172076 30178006 44140964 45801133 52344152 60356012 77246687 88281928 91602266 105623021 120712024 154493374 183204532 211246042 308986748 366409064 422492084 617973496 739361147 844984168 1478722294 2957444588 5175528029 5914889176 10351056058 20702112116 41404224232