Search a number
-
+
31414111410141 = 33101107107660369
BaseRepresentation
bin1110010010010001010101…
…11100111001011111011101
311010020011022102210110112000
413021020222330321133131
513104142100010111031
6150451235450232513
76421410652141545
oct711105274713735
9133204272713460
1031414111410141
11a011716a21679
123634322425739
13146b451762145
147a8645b90325
15397246c273e6
hex1c922af397dd

31414111410141 has 32 divisors (see below), whose sum is σ = 47439465436800. Its totient is φ = 20541598214400.

The previous prime is 31414111410137. The next prime is 31414111410151. The reversal of 31414111410141 is 14101411141413.

31414111410141 is a `hidden beast` number, since 3 + 141 + 411 + 1 + 4 + 101 + 4 + 1 = 666.

It is not a de Polignac number, because 31414111410141 - 22 = 31414111410137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414111410151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53538396 + ... + 54121973.

It is an arithmetic number, because the mean of its divisors is an integer number (1482483294900).

Almost surely, 231414111410141 is an apocalyptic number.

It is an amenable number.

31414111410141 is a deficient number, since it is larger than the sum of its proper divisors (16025354026659).

31414111410141 is a wasteful number, since it uses less digits than its factorization.

31414111410141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107660586 (or 107660580 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 31414111410141 its reverse (14101411141413), we get a palindrome (45515522551554).

The spelling of 31414111410141 in words is "thirty-one trillion, four hundred fourteen billion, one hundred eleven million, four hundred ten thousand, one hundred forty-one".

Divisors: 1 3 9 27 101 107 303 321 909 963 2727 2889 10807 32421 97263 291789 107660369 322981107 968943321 2906829963 10873697269 11519659483 32621091807 34558978449 97863275421 103676935347 293589826263 311030806041 1163485607783 3490456823349 10471370470047 31414111410141