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354221363122453 = 17236194621316717
BaseRepresentation
bin101000010001010011001011…
…0100001010101000100010101
31201110012020020211120022011001
41100202212112201111010111
5332412030322424404303
63253211014151343301
7134416435406546221
oct12042462641250425
91643166224508131
10354221363122453
11a2958488a50482
123388a581981b31
1312285c14b56538
1463685967b9781
152ae419d17731d
hex1422996855115

354221363122453 has 32 divisors (see below), whose sum is σ = 392083100432640. Its totient is φ = 318304748805120.

The previous prime is 354221363122439. The next prime is 354221363122511.

354221363122453 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 354221363122453 - 217 = 354221362991381 is a prime.

It is a super-3 number, since 3×3542213631224533 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354221363120453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118257651 + ... + 1118574367.

It is an arithmetic number, because the mean of its divisors is an integer number (12252596888520).

Almost surely, 2354221363122453 is an apocalyptic number.

It is an amenable number.

354221363122453 is a deficient number, since it is larger than the sum of its proper divisors (37861737310187).

354221363122453 is a wasteful number, since it uses less digits than its factorization.

354221363122453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321997.

The product of its digits is 3110400, while the sum is 46.

The spelling of 354221363122453 in words is "three hundred fifty-four trillion, two hundred twenty-one billion, three hundred sixty-three million, one hundred twenty-two thousand, four hundred fifty-three".

Divisors: 1 17 23 391 619 4621 10523 14237 78557 106283 242029 316717 1806811 2860399 5384189 7284491 48626783 65789177 123836347 196047823 1118416009 1463549257 3332812991 4509099929 24880337369 33661632911 76654698793 572247759487 905936990083 15400928831411 20836550771909 354221363122453