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10144432609 = 291811932641
BaseRepresentation
bin10010111001010011…
…11100000111100001
3222011222112120102021
421130221330013201
5131233433320414
64354342221441
7506250153163
oct113451740741
928158476367
1010144432609
1143362a4403
121b71424881
13c588ba25c
146c33dc933
153e58dcc24
hex25ca7c1e1

10144432609 has 8 divisors (see below), whose sum is σ = 10552225320. Its totient is φ = 9740505600.

The previous prime is 10144432583. The next prime is 10144432651. The reversal of 10144432609 is 90623444101.

10144432609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44182609 + 10100250000 = 6647^2 + 100500^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10144432609 - 213 = 10144424417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10144432699) 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 7 ways as a sum of consecutive naturals, for example, 961072 + ... + 971569.

It is an arithmetic number, because the mean of its divisors is an integer number (1319028165).

Almost surely, 210144432609 is an apocalyptic number.

It is an amenable number.

10144432609 is a deficient number, since it is larger than the sum of its proper divisors (407792711).

10144432609 is a wasteful number, since it uses less digits than its factorization.

10144432609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932851.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10144432609 in words is "ten billion, one hundred forty-four million, four hundred thirty-two thousand, six hundred nine".

Divisors: 1 29 181 5249 1932641 56046589 349808021 10144432609