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354040314121 = 131632233592087
BaseRepresentation
bin1010010011011100111…
…00100111100100001001
31020211211200022102101201
411021232130213210021
521300033310022441
6430351024344201
734402310005504
oct5115634474411
91224750272351
10354040314121
1112716958912a
1258747475061
1327502966840
14131c82bc13b
159321addc31
hex526e727909

354040314121 has 32 divisors (see below), whose sum is σ = 386592030720. Its totient is φ = 322289803584.

The previous prime is 354040314119. The next prime is 354040314137. The reversal of 354040314121 is 121413040453.

It is a cyclic number.

It is not a de Polignac number, because 354040314121 - 21 = 354040314119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 354040314121.

It is not an unprimeable number, because it can be changed into a prime (354040314101) 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, 169639740 + ... + 169641826.

It is an arithmetic number, because the mean of its divisors is an integer number (12081000960).

Almost surely, 2354040314121 is an apocalyptic number.

It is an amenable number.

354040314121 is a deficient number, since it is larger than the sum of its proper divisors (32551716599).

354040314121 is a wasteful number, since it uses less digits than its factorization.

354040314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 354040314121 its reverse (121413040453), we get a palindrome (475453354574).

The spelling of 354040314121 in words is "three hundred fifty-four billion, forty million, three hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 13 163 223 359 2087 2119 2899 4667 27131 36349 58517 80057 340181 465401 472537 749233 760721 1040741 4422353 6050213 9740029 13049291 75860363 122124979 167078959 169640783 986184719 1587624727 2172026467 27233870317 354040314121