Search a number
-
+
10144131657 = 311307397929
BaseRepresentation
bin10010111001010001…
…10010101001001001
3222011221222021120220
421130220302221021
5131233344203112
64354331540253
7506244460602
oct113450625111
928157867526
1010144131657
114336109290
121b712ba689
13c5881328a
146c3360da9
153e587d98c
hex25ca32a49

10144131657 has 8 divisors (see below), whose sum is σ = 14755100640. Its totient is φ = 6147958560.

The previous prime is 10144131637. The next prime is 10144131661. The reversal of 10144131657 is 75613144101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10144131657 - 227 = 10009913929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 307397929 = 10144131657 / (1 + 0 + 1 + 4 + 4 + 1 + 3 + 1 + 6 + 5 + 7).

It is not an unprimeable number, because it can be changed into a prime (10144131637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153698932 + ... + 153698997.

It is an arithmetic number, because the mean of its divisors is an integer number (1844387580).

Almost surely, 210144131657 is an apocalyptic number.

It is an amenable number.

10144131657 is a deficient number, since it is larger than the sum of its proper divisors (4610968983).

10144131657 is a wasteful number, since it uses less digits than its factorization.

10144131657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307397943.

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 10144131657 its reverse (75613144101), we get a palindrome (85757275758).

The spelling of 10144131657 in words is "ten billion, one hundred forty-four million, one hundred thirty-one thousand, six hundred fifty-seven".

Divisors: 1 3 11 33 307397929 922193787 3381377219 10144131657