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4141335536 = 2413210914051
BaseRepresentation
bin1111011011010111…
…1100001111110000
3101200121122122100122
43312311330033300
531440140214121
61522535105412
7204424525352
oct36665741760
911617578318
104141335536
111835748758
12976b12268
1350cca8900
142b40250d2
151938925ab
hexf6d7c3f0

4141335536 has 60 divisors (see below), whose sum is σ = 8768869560. Its totient is φ = 1893715200.

The previous prime is 4141335533. The next prime is 4141335553. The reversal of 4141335536 is 6355331414.

It is a junction number, because it is equal to n+sod(n) for n = 4141335496 and 4141335505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141335533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287711 + ... + 301761.

It is an arithmetic number, because the mean of its divisors is an integer number (146147826).

Almost surely, 24141335536 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 4141335536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384434780).

4141335536 is an abundant number, since it is smaller than the sum of its proper divisors (4627534024).

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

4141335536 is a wasteful number, since it uses less digits than its factorization.

4141335536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14194 (or 14175 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 4141335536 is about 64353.2092129056. The cubic root of 4141335536 is about 1605.8814186647.

The spelling of 4141335536 in words is "four billion, one hundred forty-one million, three hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 109 169 208 218 338 436 676 872 1352 1417 1744 2704 2834 5668 11336 14051 18421 22672 28102 36842 56204 73684 112408 147368 182663 224816 294736 365326 730652 1461304 1531559 2374619 2922608 3063118 4749238 6126236 9498476 12252472 18996952 19910267 24504944 37993904 39820534 79641068 159282136 258833471 318564272 517666942 1035333884 2070667768 4141335536