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114040134104 = 231347103226511
BaseRepresentation
bin110101000110101010…
…0100101100111011000
3101220100122122001110112
41222031110211213120
53332023233242404
6124220031503452
711145010101041
oct1521524454730
9356318561415
10114040134104
1144400756716
121a127987b88
13a9a55311c0
14573b9c38c8
152e76b4956e
hex1a8d5259d8

114040134104 has 64 divisors (see below), whose sum is σ = 237457059840. Its totient is φ = 51013676160.

The previous prime is 114040134101. The next prime is 114040134163. The reversal of 114040134104 is 401431040411.

It is a self number, because there is not a number n which added to its sum of digits gives 114040134104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114040134101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390209 + ... + 616719.

It is an arithmetic number, because the mean of its divisors is an integer number (3710266560).

Almost surely, 2114040134104 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 114040134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118728529920).

114040134104 is an abundant number, since it is smaller than the sum of its proper divisors (123416925736).

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

114040134104 is a wasteful number, since it uses less digits than its factorization.

114040134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226680 (or 226676 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 114040134104 its reverse (401431040411), we get a palindrome (515471174515).

The spelling of 114040134104 in words is "one hundred fourteen billion, forty million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 47 52 94 103 104 188 206 376 412 611 824 1222 1339 2444 2678 4841 4888 5356 9682 10712 19364 38728 62933 125866 226511 251732 453022 503464 906044 1812088 2944643 5889286 10646017 11778572 21292034 23330633 23557144 42584068 46661266 85168136 93322532 138398221 186645064 276796442 303298229 553592884 606596458 1096539751 1107185768 1213192916 2193079502 2426385832 4386159004 8772318008 14255016763 28510033526 57020067052 114040134104