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354040314125 = 5311325064801
BaseRepresentation
bin1010010011011100111…
…00100111100100001101
31020211211200022102101212
411021232130213210031
521300033310023000
6430351024344205
734402310005511
oct5115634474415
91224750272355
10354040314125
11127169589133
1258747475065
1327502966844
14131c82bc141
159321addc35
hex526e72790d

354040314125 has 16 divisors (see below), whose sum is σ = 445752438768. Its totient is φ = 280725760000.

The previous prime is 354040314119. The next prime is 354040314137. The reversal of 354040314125 is 521413040453.

It can be written as a sum of positive squares in 8 ways, for example, as 154192870276 + 199847443849 = 392674^2 + 447043^2 .

It is not a de Polignac number, because 354040314125 - 210 = 354040313101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354040314091 and 354040314100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12518276 + ... + 12546525.

It is an arithmetic number, because the mean of its divisors is an integer number (27859527423).

Almost surely, 2354040314125 is an apocalyptic number.

It is an amenable number.

354040314125 is a deficient number, since it is larger than the sum of its proper divisors (91712124643).

354040314125 is a wasteful number, since it uses less digits than its factorization.

354040314125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25064929 (or 25064919 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 354040314125 its reverse (521413040453), we get a palindrome (875453354578).

The spelling of 354040314125 in words is "three hundred fifty-four billion, forty million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 25 113 125 565 2825 14125 25064801 125324005 626620025 2832322513 3133100125 14161612565 70808062825 354040314125