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354516440141 = 23449102133623
BaseRepresentation
bin1010010100010101101…
…00111001010001001101
31020220001212020010111202
411022022310321101031
521302022202041031
6430510153355245
734420151010143
oct5121264712115
91226055203452
10354516440141
11127393319706
125885aa08b25
132757a4b0106
141323161b593
15934d7dd2cb
hex528ad3944d

354516440141 has 16 divisors (see below), whose sum is σ = 371128262400. Its totient is φ = 338006000640.

The previous prime is 354516440129. The next prime is 354516440153. The reversal of 354516440141 is 141044615453.

It is an interprime number because it is at equal distance from previous prime (354516440129) and next prime (354516440153).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-354516440141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354516440095 and 354516440104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354516440101) 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, 10527056 + ... + 10560678.

It is an arithmetic number, because the mean of its divisors is an integer number (23195516400).

Almost surely, 2354516440141 is an apocalyptic number.

It is an amenable number.

354516440141 is a deficient number, since it is larger than the sum of its proper divisors (16611822259).

354516440141 is a wasteful number, since it uses less digits than its factorization.

354516440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35116.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 354516440141 in words is "three hundred fifty-four billion, five hundred sixteen million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 23 449 1021 10327 23483 33623 458429 773329 10543867 15096727 34329083 347224721 789568909 15413758267 354516440141