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354240042453 = 3211101167212141
BaseRepresentation
bin1010010011110100101…
…10100001010111010101
31020212100121010200011100
411021322112201113111
521300440422324303
6430422521300313
734410253452033
oct5117226412725
91225317120140
10354240042453
111272612a5a70
12587a2334699
132753515729b
1413206a2d553
1593343e28a3
hex527a5a15d5

354240042453 has 48 divisors (see below), whose sum is σ = 567101388672. Its totient is φ = 211291440000.

The previous prime is 354240042451. The next prime is 354240042463.

354240042453 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 400 + 4 + 245 + 3 = 666.

354240042453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 354240042453 - 21 = 354240042451 is a prime.

It is a super-3 number, since 3×3542400424533 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354240042451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563763 + ... + 1775903.

It is an arithmetic number, because the mean of its divisors is an integer number (11814612264).

Almost surely, 2354240042453 is an apocalyptic number.

354240042453 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

354240042453 is a deficient number, since it is larger than the sum of its proper divisors (212861346219).

354240042453 is a wasteful number, since it uses less digits than its factorization.

354240042453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212426 (or 212423 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 3542400 and 42453, that added together give a palindrome (3584853).

The spelling of 354240042453 in words is "three hundred fifty-four billion, two hundred forty million, forty-two thousand, four hundred fifty-three".

Divisors: 1 3 9 11 33 99 101 167 303 501 909 1111 1503 1837 3333 5511 9999 16533 16867 50601 151803 185537 212141 556611 636423 1669833 1909269 2333551 7000653 21001959 21426241 35427547 64278723 106282641 192836169 235688651 318847923 389703017 707065953 1169109051 2121197859 3507327153 3578182247 10734546741 32203640223 39360004717 118080014151 354240042453