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41055655014 = 23211235835261
BaseRepresentation
bin100110001111000110…
…111001010001100110
310220222020110100221100
4212033012321101212
51133040221430024
630505525100530
72652253211133
oct461706712146
9126866410840
1041055655014
1116458935300
127b59557746
133b439a7aba
141db688558a
15110450d7c9
hex98f1b9466

41055655014 has 72 divisors (see below), whose sum is σ = 97821674496. Its totient is φ = 12435271200.

The previous prime is 41055655013. The next prime is 41055655021.

41055655014 is a `hidden beast` number, since 41 + 0 + 5 + 56 + 550 + 14 = 666.

41055655014 is nontrivially palindromic in base 10.

41055655014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41055655014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41055655013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7801144 + ... + 7806404.

It is an arithmetic number, because the mean of its divisors is an integer number (1358634368).

Almost surely, 241055655014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41055655014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48910837248).

41055655014 is an abundant number, since it is smaller than the sum of its proper divisors (56766019482).

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

41055655014 is a wasteful number, since it uses less digits than its factorization.

41055655014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 41055655014 in words is "forty-one billion, fifty-five million, six hundred fifty-five thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3583 5261 7166 10522 10749 15783 21498 31566 32247 39413 47349 57871 64494 78826 94698 115742 118239 173613 236478 347226 354717 433543 520839 636581 709434 867086 1041678 1273162 1300629 1909743 2601258 3819486 3901887 5729229 7803774 11458458 18850163 37700326 56550489 113100978 169651467 207351793 339302934 414703586 622055379 1244110758 1866166137 2280869723 3732332274 4561739446 6842609169 13685218338 20527827507 41055655014