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354442434241 = 73119121314013
BaseRepresentation
bin1010010100001100110…
…10100101011011000001
31020212212200222020111111
411022012122211123001
521301344230343431
6430454551243321
734415261660410
oct5120632453301
91225780866444
10354442434241
11127355571a05
125883a079541
132756806b13c
1413225875477
1593470707b1
hex52866a56c1

354442434241 has 32 divisors (see below), whose sum is σ = 420635344896. Its totient is φ = 292258152000.

The previous prime is 354442434209. The next prime is 354442434253. The reversal of 354442434241 is 142434244453.

It is a cyclic number.

It is not a de Polignac number, because 354442434241 - 25 = 354442434209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354442434194 and 354442434203.

It is not an unprimeable number, because it can be changed into a prime (354442434271) 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, 88321551 + ... + 88325563.

It is an arithmetic number, because the mean of its divisors is an integer number (13144854528).

Almost surely, 2354442434241 is an apocalyptic number.

354442434241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

354442434241 is a deficient number, since it is larger than the sum of its proper divisors (66192910655).

354442434241 is a wasteful number, since it uses less digits than its factorization.

354442434241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373.

The product of its digits is 737280, while the sum is 40.

Adding to 354442434241 its reverse (142434244453), we get a palindrome (496876678694).

The spelling of 354442434241 in words is "three hundred fifty-four billion, four hundred forty-two million, four hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 7 31 191 217 1337 2131 4013 5921 14917 28091 41447 66061 124403 407021 462427 766483 870821 2849147 5365381 8551703 12617651 23760973 59861921 88323557 166326811 265102793 1633375273 1855719551 11433626911 50634633463 354442434241