Search a number
-
+
114040244020104 = 23324138631518977
BaseRepresentation
bin11001111011100000010000…
…001111000010001110001000
3112221210010210200110112012100
4121323200100033002032020
5104421413404432120404
61042313210450513400
733010064362201443
oct3173402017021610
9487703720415170
10114040244020104
11333782177a9806
121095991ab95860
134b82c4487a02c
14202381200c65a
15d2b6ad806d39
hex67b8103c2388

114040244020104 has 48 divisors (see below), whose sum is σ = 316392140429820. Its totient is φ = 37086258216960.

The previous prime is 114040244020093. The next prime is 114040244020159. The reversal of 114040244020104 is 401020442040411.

It is a happy number.

114040244020104 is a `hidden beast` number, since 1 + 1 + 404 + 0 + 244 + 0 + 2 + 0 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93507546204900 + 20532697815204 = 9669930^2 + 4531302^2 .

It is a super-2 number, since 2×1140402440201042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19315756537 + ... + 19315762440.

Almost surely, 2114040244020104 is an apocalyptic number.

It is an amenable number.

114040244020104 is an abundant number, since it is smaller than the sum of its proper divisors (202351896409716).

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

114040244020104 is a wasteful number, since it uses less digits than its factorization.

114040244020104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38631519030 (or 38631519023 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 114040244020104 its reverse (401020442040411), we get a palindrome (515060686060515).

The spelling of 114040244020104 in words is "one hundred fourteen trillion, forty billion, two hundred forty-four million, twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 38631518977 77263037954 115894556931 154526075908 231789113862 309052151816 347683670793 463578227724 695367341586 927156455448 1390734683172 1583892278057 2781469366344 3167784556114 4751676834171 6335569112228 9503353668342 12671138224456 14255030502513 19006707336684 28510061005026 38013414673368 57020122010052 114040244020104