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354520414125 = 3253315129257
BaseRepresentation
bin1010010100010110001…
…00000011011110101101
31020220002010201000210100
411022023010003132231
521302024211223000
6430510414501313
734420226541123
oct5121304033655
91226063630710
10354520414125
11127395593399
1258860204839
132757b271b97
1413231d73913
15934dd25a00
hex528b1037ad

354520414125 has 24 divisors (see below), whose sum is σ = 639082135224. Its totient is φ = 189077553600.

The previous prime is 354520414123. The next prime is 354520414147. The reversal of 354520414125 is 521414025453.

354520414125 is a `hidden beast` number, since 3 + 5 + 4 + 520 + 4 + 1 + 4 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2079907236 + 352440506889 = 45606^2 + 593667^2 .

It is not a de Polignac number, because 354520414125 - 21 = 354520414123 is a prime.

It is a super-2 number, since 2×3545204141252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354520414125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354520414123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157563504 + ... + 157565753.

It is an arithmetic number, because the mean of its divisors is an integer number (26628422301).

Almost surely, 2354520414125 is an apocalyptic number.

It is an amenable number.

354520414125 is a deficient number, since it is larger than the sum of its proper divisors (284561721099).

354520414125 is a wasteful number, since it uses less digits than its factorization.

354520414125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315129278 (or 315129265 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 354520414125 its reverse (521414025453), we get a palindrome (875934439578).

The spelling of 354520414125 in words is "three hundred fifty-four billion, five hundred twenty million, four hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 315129257 945387771 1575646285 2836163313 4726938855 7878231425 14180816565 23634694275 39391157125 70904082825 118173471375 354520414125