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430953404137 = 37157317234029
BaseRepresentation
bin1100100010101101101…
…00110001011011101001
31112012100212212012222021
412101112310301123221
524030043032413022
6525551031024441
743064266331524
oct6212664613351
91465325765867
10430953404137
11156847a64033
126b63150b121
133183c3a77a9
1416c030a9bbb
15b32409c7c7
hex6456d316e9

430953404137 has 16 divisors (see below), whose sum is σ = 446826926160. Its totient is φ = 415319194368.

The previous prime is 430953404129. The next prime is 430953404149. The reversal of 430953404137 is 731404359034.

It can be written as a sum of positive squares in 8 ways, for example, as 54707338816 + 376246065321 = 233896^2 + 613389^2 .

It is a cyclic number.

It is not a de Polignac number, because 430953404137 - 23 = 430953404129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430953404093 and 430953404102.

It is not an unprimeable number, because it can be changed into a prime (430953404197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724439 + ... + 1958467.

It is an arithmetic number, because the mean of its divisors is an integer number (27926682885).

Almost surely, 2430953404137 is an apocalyptic number.

It is an amenable number.

430953404137 is a deficient number, since it is larger than the sum of its proper divisors (15873522023).

430953404137 is a wasteful number, since it uses less digits than its factorization.

430953404137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234540.

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 430953404137 in words is "four hundred thirty billion, nine hundred fifty-three million, four hundred four thousand, one hundred thirty-seven".

Divisors: 1 37 157 317 5809 11729 49769 234029 1841453 8659073 36742553 74187193 1359474461 2744926141 11647389301 430953404137