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41137147134 = 2341039712539
BaseRepresentation
bin100110010011111101…
…110000110011111110
310221011220210121010000
4212103331300303332
51133222102202014
630521555455130
72654262660366
oct462375606376
9127156717100
1041137147134
111649a935566
127b808b74a6
133b5783b3a5
141dc36199a6
15110b759509
hex993f70cfe

41137147134 has 80 divisors (see below), whose sum is σ = 93205157760. Its totient is φ = 13559924880.

The previous prime is 41137147123. The next prime is 41137147153. The reversal of 41137147134 is 43174173114.

41137147134 is a `hidden beast` number, since 4 + 113 + 71 + 471 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16200837 + ... + 16203375.

It is an arithmetic number, because the mean of its divisors is an integer number (1165064472).

Almost surely, 241137147134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41137147134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46602578880).

41137147134 is an abundant number, since it is smaller than the sum of its proper divisors (52068010626).

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

41137147134 is a wasteful number, since it uses less digits than its factorization.

41137147134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3618 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 41137147134 in words is "forty-one billion, one hundred thirty-seven million, one hundred forty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 971 1854 1942 2539 2781 2913 5078 5562 5826 7617 8343 8739 15234 16686 17478 22851 26217 45702 52434 68553 78651 100013 137106 157302 200026 205659 261517 300039 411318 523034 600078 784551 900117 1569102 1800234 2353653 2465369 2700351 4707306 4930738 5400702 7060959 7396107 8101053 14121918 14792214 16202106 21182877 22188321 42365754 44376642 66564963 133129926 199694889 253933007 399389778 507866014 761799021 1523598042 2285397063 4570794126 6856191189 13712382378 20568573567 41137147134