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432012131430 = 235111319993341
BaseRepresentation
bin1100100100101011110…
…11011111110001100110
31112022002200001010210020
412102111323133301212
524034230101201210
6530244051140010
743132443346155
oct6222573376146
91468080033706
10432012131430
11157240649570
126b887ba4606
133197a837549
1416ca394359c
15b386ece770
hex6495edfc66

432012131430 has 64 divisors (see below), whose sum is σ = 1139720668416. Its totient is φ = 103930736000.

The previous prime is 432012131413. The next prime is 432012131459. The reversal of 432012131430 is 34131210234.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 432012131430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4953441 + ... + 5039900.

It is an arithmetic number, because the mean of its divisors is an integer number (17808135444).

Almost surely, 2432012131430 is an apocalyptic number.

432012131430 is an abundant number, since it is smaller than the sum of its proper divisors (707708536986).

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

432012131430 is a wasteful number, since it uses less digits than its factorization.

432012131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993493.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 432012131430 its reverse (34131210234), we get a palindrome (466143341664).

The spelling of 432012131430 in words is "four hundred thirty-two billion, twelve million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 262 330 393 655 786 1310 1441 1965 2882 3930 4323 7205 8646 14410 21615 43230 9993341 19986682 29980023 49966705 59960046 99933410 109926751 149900115 219853502 299800230 329780253 549633755 659560506 1099267510 1309127671 1648901265 2618255342 3297802530 3927383013 6545638355 7854766026 13091276710 14400404381 19636915065 28800808762 39273830130 43201213143 72002021905 86402426286 144004043810 216006065715 432012131430