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354114313044052 = 2211223328311095727
BaseRepresentation
bin101000010000100001010100…
…1110101101100000001010100
31201102210222221022221212110111
41100201002221311230001110
5332403302103114402202
63253045511500532404
7134405625535106251
oct12041025165540124
91642728838855414
10354114313044052
11a2917044a77100
1233871886b51104
1312278ab4858b92
14636331d2c4428
152ae14d50306d7
hex14210a9d6c054

354114313044052 has 72 divisors (see below), whose sum is σ = 686498638670208. Its totient is φ = 159703891121280.

The previous prime is 354114313044043. The next prime is 354114313044073. The reversal of 354114313044052 is 250440313411453.

It is a super-3 number, since 3×3541143130440523 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354114313043996 and 354114313044014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26366613 + ... + 37462339.

It is an arithmetic number, because the mean of its divisors is an integer number (9534703314864).

Almost surely, 2354114313044052 is an apocalyptic number.

It is an amenable number.

354114313044052 is a deficient number, since it is larger than the sum of its proper divisors (332384325626156).

354114313044052 is a wasteful number, since it uses less digits than its factorization.

354114313044052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11096269 (or 11096256 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

It can be divided in two parts, 35411431 and 3044052, that added together give a palindrome (38455483).

The spelling of 354114313044052 in words is "three hundred fifty-four trillion, one hundred fourteen billion, three hundred thirteen million, forty-four thousand, fifty-two".

Divisors: 1 2 4 11 22 44 121 233 242 283 466 484 566 932 1132 2563 3113 5126 6226 10252 12452 28193 34243 56386 65939 68486 112772 131878 136972 263756 725329 1450658 2901316 7978619 11095727 15957238 22191454 31914476 44382908 122052997 244105994 488211988 1342582967 2585304391 2685165934 3140090741 5170608782 5370331868 6280181482 10341217564 12560362964 28438348301 34540998151 56876696602 69081996302 113753393204 138163992604 312821831311 379950979661 625643662622 731641142653 759901959322 1251287325244 1463282285306 1519803918644 2926564570612 8048052569183 16096105138366 32192210276732 88528578261013 177057156522026 354114313044052