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41130014243664 = 24316311677450193
BaseRepresentation
bin10010101101000010100111…
…11000110111101101010000
312101121222202102002100001110
421112201103320313231100
520342333232121244124
6223250511231133320
711443355044452603
oct1126412370675520
9171558672070043
1041130014243664
1112118160868615
124743332674240
1319c470b684118
14a229bbc5833a
154b4d456ac029
hex256853e37b50

41130014243664 has 80 divisors (see below), whose sum is σ = 106913785458752. Its totient is φ = 13624697124864.

The previous prime is 41130014243663. The next prime is 41130014243723. The reversal of 41130014243664 is 46634241003114.

41130014243664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130014243663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91135752 + ... + 91585944.

Almost surely, 241130014243664 is an apocalyptic number.

It is an amenable number.

41130014243664 is an abundant number, since it is smaller than the sum of its proper divisors (65783771215088).

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

41130014243664 is a wasteful number, since it uses less digits than its factorization.

41130014243664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462044 (or 462038 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 41130014243664 its reverse (46634241003114), we get a palindrome (87764255246778).

The spelling of 41130014243664 in words is "forty-one trillion, one hundred thirty billion, fourteen million, two hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824 11677 23354 35031 46708 70062 93416 140124 186832 280248 450193 560496 900386 1350579 1800772 1903351 2701158 3601544 3806702 5402316 5710053 7203088 7613404 10804632 11420106 15226808 21609264 22840212 30453616 45680424 73381459 91360848 146762918 220144377 293525836 440288754 587051672 880577508 1174103344 1761155016 3522310032 5256903661 10513807322 15770710983 21027614644 31541421966 42055229288 63082843932 84110458576 126165687864 252331375728 856875296743 1713750593486 2570625890229 3427501186972 5141251780458 6855002373944 10282503560916 13710004747888 20565007121832 41130014243664