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343431507141 = 3238159056349
BaseRepresentation
bin1001111111101100001…
…11001110110011000101
31012211110022222012002200
410333312013032303011
521111321431212031
6421434213025113
733545360434212
oct4776607166305
91184408865080
10343431507141
11122715150458
1256686625199
1326501ab8c68
141289d35cb09
158e005738e6
hex4ff61cecc5

343431507141 has 6 divisors (see below), whose sum is σ = 496067732550. Its totient is φ = 228954338088.

The previous prime is 343431507109. The next prime is 343431507163. The reversal of 343431507141 is 141705134343.

343431507141 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 3 + 1 + 507 + 141 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302413106241 + 41018400900 = 549921^2 + 202530^2 .

It is not a de Polignac number, because 343431507141 - 25 = 343431507109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343431507096 and 343431507105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343431507541) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 19079528166 + ... + 19079528183.

It is an arithmetic number, because the mean of its divisors is an integer number (82677955425).

Almost surely, 2343431507141 is an apocalyptic number.

It is an amenable number.

343431507141 is a deficient number, since it is larger than the sum of its proper divisors (152636225409).

343431507141 is a wasteful number, since it uses less digits than its factorization.

343431507141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38159056355 (or 38159056352 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 343431507141 in words is "three hundred forty-three billion, four hundred thirty-one million, five hundred seven thousand, one hundred forty-one".

Divisors: 1 3 9 38159056349 114477169047 343431507141