Search a number
-
+
10144456340 = 225507222817
BaseRepresentation
bin10010111001010100…
…00001111010010100
3222011222120202222012
421130222001322110
5131233440100330
64354342523352
7506250312314
oct113452017224
928158522865
1010144456340
114336310217
121b71436558
13c588c7cb5
146c3407444
153e58e4c95
hex25ca81e94

10144456340 has 12 divisors (see below), whose sum is σ = 21303358356. Its totient is φ = 4057782528.

The previous prime is 10144456297. The next prime is 10144456373. The reversal of 10144456340 is 4365444101.

It can be written as a sum of positive squares in 2 ways, for example, as 4255735696 + 5888720644 = 65236^2 + 76738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10144456297 and 10144456306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253611389 + ... + 253611428.

It is an arithmetic number, because the mean of its divisors is an integer number (1775279863).

Almost surely, 210144456340 is an apocalyptic number.

10144456340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144456340 is an abundant number, since it is smaller than the sum of its proper divisors (11158902016).

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

10144456340 is a wasteful number, since it uses less digits than its factorization.

10144456340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507222826 (or 507222824 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 10144456340 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 507222817 1014445634 2028891268 2536114085 5072228170 10144456340