Search a number
-
+
41134403124 = 22331788325373
BaseRepresentation
bin100110010011110011…
…010010111000110100
310221011201122012001000
4212103303102320310
51133220401344444
630521421003300
72654230441353
oct462363227064
9127151565030
1041134403124
1116499330991
127b7b9b3530
133b570ba409
141dc310399a
15110b3b6469
hex993cd2e34

41134403124 has 96 divisors (see below), whose sum is σ = 113050304640. Its totient is φ = 12889787904.

The previous prime is 41134403071. The next prime is 41134403131. The reversal of 41134403124 is 42130443114.

41134403124 is a `hidden beast` number, since 4 + 1 + 1 + 344 + 0 + 312 + 4 = 666.

41134403124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608502 + ... + 1633874.

It is an arithmetic number, because the mean of its divisors is an integer number (1177607340).

Almost surely, 241134403124 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 41134403124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56525152320).

41134403124 is an abundant number, since it is smaller than the sum of its proper divisors (71915901516).

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

41134403124 is a wasteful number, since it uses less digits than its factorization.

41134403124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26286 (or 26278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41134403124 its reverse (42130443114), we get a palindrome (83264846238).

The spelling of 41134403124 in words is "forty-one billion, one hundred thirty-four million, four hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 883 918 1766 1836 2649 3532 5298 7947 10596 15011 15894 23841 25373 30022 31788 45033 47682 50746 60044 76119 90066 95364 101492 135099 152238 180132 228357 270198 304476 405297 431341 456714 540396 685071 810594 862682 913428 1294023 1370142 1621188 1725364 2588046 2740284 3882069 5176092 7764138 11646207 15528276 22404359 23292414 44808718 46584828 67213077 89617436 134426154 201639231 268852308 380874103 403278462 604917693 761748206 806556924 1142622309 1209835386 1523496412 2285244618 2419670772 3427866927 4570489236 6855733854 10283600781 13711467708 20567201562 41134403124