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430122144 = 25341109279
BaseRepresentation
bin11001101000110…
…010010010100000
31002222100110122210
4121220302102200
51340102402034
6110403002120
713441656264
oct3150622240
91088313583
10430122144
1120087a151
12100069340
136b15a05a
14411a60a4
1527b638e9
hex19a324a0

430122144 has 48 divisors (see below), whose sum is σ = 1156619520. Its totient is φ = 139875840.

The previous prime is 430122127. The next prime is 430122157. The reversal of 430122144 is 441221034.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 430122144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50704 + ... + 58575.

It is an arithmetic number, because the mean of its divisors is an integer number (24096240).

Almost surely, 2430122144 is an apocalyptic number.

It is an amenable number.

430122144 is an abundant number, since it is smaller than the sum of its proper divisors (726497376).

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

430122144 is a wasteful number, since it uses less digits than its factorization.

430122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109333 (or 109325 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 430122144 is about 20739.3862975740. The cubic root of 430122144 is about 754.8556916127.

Adding to 430122144 its reverse (441221034), we get a palindrome (871343178).

The spelling of 430122144 in words is "four hundred thirty million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 109279 218558 327837 437116 655674 874232 1311348 1748464 2622696 3496928 4480439 5245392 8960878 10490784 13441317 17921756 26882634 35843512 53765268 71687024 107530536 143374048 215061072 430122144