Search a number
-
+
131012144314404 = 22319319721581617
BaseRepresentation
bin11101110010011110100100…
…010100101011100000100100
3122011212122020121002210202020
4131302132210110223200210
5114133000332421030104
61142350052003143140
736411213032344113
oct3562364424534044
9564778217083666
10131012144314404
1138820a35a932a1
121283b046074ab0
135814513873582
14244d04346bc7a
151022dd708a2d9
hex7727a452b824

131012144314404 has 48 divisors (see below), whose sum is σ = 305885301642816. Its totient is φ = 43643534054400.

The previous prime is 131012144314327. The next prime is 131012144314423. The reversal of 131012144314404 is 404413441210131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224964204 + ... + 225545820.

It is an arithmetic number, because the mean of its divisors is an integer number (6372610450892).

Almost surely, 2131012144314404 is an apocalyptic number.

It is an amenable number.

131012144314404 is an abundant number, since it is smaller than the sum of its proper divisors (174873157328412).

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

131012144314404 is a wasteful number, since it uses less digits than its factorization.

131012144314404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593276 (or 593274 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 131012144314404 its reverse (404413441210131), we get a palindrome (535425585524535).

The spelling of 131012144314404 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-four million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 1931 3862 5793 7724 9721 11586 19442 23172 29163 38884 58326 116652 581617 1163234 1744851 2326468 3489702 6979404 18771251 37542502 56313753 75085004 112627506 225255012 1123102427 2246204854 3369307281 4492409708 5653898857 6738614562 11307797714 13477229124 16961696571 22615595428 33923393142 67846786284 10917678692867 21835357385734 32753036078601 43670714771468 65506072157202 131012144314404