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41261246442 = 23213738392879
BaseRepresentation
bin100110011011010111…
…001010011111101010
310221111120022111100200
4212123113022133222
51134000334341232
630542151413030
72660330544063
oct463327123752
9127446274320
1041261246442
1116553997179
127bb6384176
133b7746c130
141dd5cc156a
1511175be77c
hex99b5ca7ea

41261246442 has 96 divisors (see below), whose sum is σ = 97745356800. Its totient is φ = 12502584576.

The previous prime is 41261246437. The next prime is 41261246449. The reversal of 41261246442 is 24464216214.

41261246442 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 1 + 2 + 4 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41261246397 and 41261246406.

It is not an unprimeable number, because it can be changed into a prime (41261246449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14330359 + ... + 14333237.

It is an arithmetic number, because the mean of its divisors is an integer number (1018180800).

Almost surely, 241261246442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41261246442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48872678400).

41261246442 is an abundant number, since it is smaller than the sum of its proper divisors (56484110358).

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

41261246442 is a wasteful number, since it uses less digits than its factorization.

41261246442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3809 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 41261246442 in words is "forty-one billion, two hundred sixty-one million, two hundred forty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 657 839 949 1314 1678 1898 2517 2847 2879 5034 5694 5758 7551 8541 8637 10907 15102 17082 17274 21814 25911 32721 37427 51822 61247 65442 74854 98163 112281 122494 183741 196326 210167 224562 336843 367482 420334 551223 630501 673686 796211 1102446 1261002 1592422 1891503 2388633 2415481 2732171 3783006 4777266 4830962 5464342 7165899 7246443 8196513 14331798 14492886 16393026 21739329 24589539 31401253 43478658 49179078 62802506 94203759 176330113 188407518 282611277 352660226 528990339 565222554 1057980678 1586971017 2292291469 3173942034 4584582938 6876874407 13753748814 20630623221 41261246442