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345354464453543 = 2281238975178431
BaseRepresentation
bin100111010000110010001101…
…0001011001110001110100111
31200021210120020102101122212222
41032201210122023032032213
5330231241420400003133
63222301352320302555
7132513015401455616
oct11641443213161647
91607716212348788
10345354464453543
11a004a0078a2426
1232898013471a5b
1311a91a2b54122c
14613d36102187d
1529dd6dec1be98
hex13a191a2ce3a7

345354464453543 has 16 divisors (see below), whose sum is σ = 345737478468480. Its totient is φ = 344971737043200.

The previous prime is 345354464453527. The next prime is 345354464453569.

345354464453543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345354464453543 - 24 = 345354464453527 is a prime.

It is a super-3 number, since 3×3453544644535433 (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 (345354464453143) 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, 40962451538 + ... + 40962459968.

It is an arithmetic number, because the mean of its divisors is an integer number (21608592404280).

Almost surely, 2345354464453543 is an apocalyptic number.

345354464453543 is a deficient number, since it is larger than the sum of its proper divisors (383014014937).

345354464453543 is a wasteful number, since it uses less digits than its factorization.

345354464453543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20618.

The product of its digits is 1244160000, while the sum is 62.

The spelling of 345354464453543 in words is "three hundred forty-five trillion, three hundred fifty-four billion, four hundred sixty-four million, four hundred fifty-three thousand, five hundred forty-three".

Divisors: 1 2281 2389 7517 8431 5449309 17146277 17958113 19231111 20141659 63375827 40962455753 45943124179 144560261387 151404850703 345354464453543