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354344443453 = 71113990135753
BaseRepresentation
bin1010010100000001001…
…00110001111000111101
31020212121212120210102001
411022000210301320331
521301144134142303
6430441131102301
734412662034110
oct5120044617075
91225555523361
10354344443453
11127305222a90
12588112a1991
132755097c020
1413216848577
15933d66631d
hex5280931e3d

354344443453 has 32 divisors (see below), whose sum is σ = 475824529152. Its totient is φ = 254840256000.

The previous prime is 354344443451. The next prime is 354344443457.

354344443453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 354344443453 - 21 = 354344443451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354344443451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9893025 + ... + 9928777.

It is an arithmetic number, because the mean of its divisors is an integer number (14869516536).

Almost surely, 2354344443453 is an apocalyptic number.

It is an amenable number.

354344443453 is a deficient number, since it is larger than the sum of its proper divisors (121480085699).

354344443453 is a wasteful number, since it uses less digits than its factorization.

354344443453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45685.

The product of its digits is 8294400, while the sum is 46.

It can be divided in two parts, 354344 and 443453, that added together give a palindrome (797797).

The spelling of 354344443453 in words is "three hundred fifty-four billion, three hundred forty-four million, four hundred forty-three thousand, four hundred fifty-three".

Divisors: 1 7 11 13 77 91 143 1001 9901 35753 69307 108911 128713 250271 393283 464789 762377 900991 1415843 2752981 3253523 5112679 9910901 35788753 353990453 2477933171 3893894983 4601875889 27257264881 32213131223 50620634779 354344443453