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10242324432 = 2432191337181
BaseRepresentation
bin10011000100111110…
…10111011111010000
3222102210201222202100
421202133113133100
5131434013340212
64412200320400
7511546215114
oct114237273720
928383658670
1010242324432
114386585a3a
121b9a173100
13c72c73302
146d2401744
153ee2c7bdc
hex2627d77d0

10242324432 has 60 divisors (see below), whose sum is σ = 28680038244. Its totient is φ = 3412231680.

The previous prime is 10242324427. The next prime is 10242324439. The reversal of 10242324432 is 23442324201.

It can be written as a sum of positive squares in 2 ways, for example, as 6238472256 + 4003852176 = 78984^2 + 63276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10242324396 and 10242324405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242324439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256882 + ... + 294062.

Almost surely, 210242324432 is an apocalyptic number.

10242324432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10242324432 is an abundant number, since it is smaller than the sum of its proper divisors (18437713812).

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

10242324432 is a wasteful number, since it uses less digits than its factorization.

10242324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39108 (or 39099 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10242324432 its reverse (23442324201), we get a palindrome (33684648633).

The spelling of 10242324432 in words is "ten billion, two hundred forty-two million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1913 3826 5739 7652 11478 15304 17217 22956 30608 34434 37181 45912 68868 74362 91824 111543 137736 148724 223086 275472 297448 334629 446172 594896 669258 892344 1338516 1784688 2677032 5354064 71127253 142254506 213381759 284509012 426763518 569018024 640145277 853527036 1138036048 1280290554 1707054072 2560581108 3414108144 5121162216 10242324432