Search a number
-
+
10422310144 = 28181224929
BaseRepresentation
bin10011011010011011…
…11101010100000000
3222220100102012201211
421231031331110000
5132321102411034
64442110135504
7516163113601
oct115515752400
928810365654
1010422310144
114469138964
12202a4b1594
13ca134082c
1470c293da8
1540eecbd64
hex26d37d500

10422310144 has 36 divisors (see below), whose sum is σ = 20918939860. Its totient is φ = 5182341120.

The previous prime is 10422310127. The next prime is 10422310147. The reversal of 10422310144 is 44101322401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2017087744 + 8405222400 = 44912^2 + 91680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422310147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66129 + ... + 158800.

Almost surely, 210422310144 is an apocalyptic number.

It is an amenable number.

10422310144 is an abundant number, since it is smaller than the sum of its proper divisors (10496629716).

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

10422310144 is an equidigital number, since it uses as much as digits as its factorization.

10422310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225126 (or 225112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10422310144 its reverse (44101322401), we get a palindrome (54523632545).

The spelling of 10422310144 in words is "ten billion, four hundred twenty-two million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1448 2896 5792 11584 23168 46336 224929 449858 899716 1799432 3598864 7197728 14395456 28790912 40712149 57581824 81424298 162848596 325697192 651394384 1302788768 2605577536 5211155072 10422310144