Search a number
-
+
144342511315013 = 11222950310356319
BaseRepresentation
bin100000110100011101011100…
…000111001110100001000101
3200221002000020210101211100002
4200310131130013032201011
5122404401430344040023
61230554011223131045
742255254663321504
oct4064353407164105
9627060223354302
10144342511315013
1141aa03516aa300
1214232666ba3a85
13627059577b9ab
14279030169483b
1511a4a2ed50b28
hex83475c1ce845

144342511315013 has 24 divisors (see below), whose sum is σ = 159667113715200. Its totient is φ = 130387700630880.

The previous prime is 144342511315007. The next prime is 144342511315031. The reversal of 144342511315013 is 310513115243441.

It is not a de Polignac number, because 144342511315013 - 26 = 144342511314949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144342511015013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8759468 + ... + 19115786.

It is an arithmetic number, because the mean of its divisors is an integer number (6652796404800).

Almost surely, 2144342511315013 is an apocalyptic number.

It is an amenable number.

144342511315013 is a deficient number, since it is larger than the sum of its proper divisors (15324602400187).

144342511315013 is a wasteful number, since it uses less digits than its factorization.

144342511315013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357073 (or 10357062 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 144342511315013 its reverse (310513115243441), we get a palindrome (454855626558454).

The spelling of 144342511315013 in words is "one hundred forty-four trillion, three hundred forty-two billion, five hundred eleven million, three hundred fifteen thousand, thirteen".

Divisors: 1 11 121 229 503 2519 5533 27709 60863 115187 1267057 10356319 13937627 113919509 1253114599 2371597051 5209228457 26087567561 57301513027 286963243171 630316643297 1192913316653 13122046483183 144342511315013