Search a number
-
+
10144432753 = 713285739019
BaseRepresentation
bin10010111001010011…
…11100001001110001
3222011222112120121121
421130221330021301
5131233433322003
64354342222241
7506250153460
oct113451741161
928158476547
1010144432753
1143362a4524
121b71424981
13c588ba340
146c33dc9d7
153e58dccbd
hex25ca7c271

10144432753 has 16 divisors (see below), whose sum is σ = 12490145920. Its totient is φ = 8023349376.

The previous prime is 10144432703. The next prime is 10144432787. The reversal of 10144432753 is 35723444101.

10144432753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144432753 - 29 = 10144432241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10144432703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240478 + ... + 279496.

It is an arithmetic number, because the mean of its divisors is an integer number (780634120).

Almost surely, 210144432753 is an apocalyptic number.

10144432753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10144432753 is a deficient number, since it is larger than the sum of its proper divisors (2345713167).

10144432753 is a wasteful number, since it uses less digits than its factorization.

10144432753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41896.

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 10144432753 its reverse (35723444101), we get a palindrome (45867876854).

The spelling of 10144432753 in words is "ten billion, one hundred forty-four million, four hundred thirty-two thousand, seven hundred fifty-three".

Divisors: 1 7 13 91 2857 19999 37141 39019 259987 273133 507247 3550729 111477283 780340981 1449204679 10144432753