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34311014441 = 11291094672113
BaseRepresentation
bin11111111101000110…
…001000100000101001
310021120012020010102122
4133331012020200221
51030232104430231
623432352041025
72323154545034
oct377506104051
9107505203378
1034311014441
1113607744a90
126796833175
13330a56cb12
141936bdc01b
15d5c33677b
hex7fd188829

34311014441 has 32 divisors (see below), whose sum is σ = 39178339200. Its totient is φ = 29761966080.

The previous prime is 34311014389. The next prime is 34311014447. The reversal of 34311014441 is 14441011343.

It is a happy number.

It is not a de Polignac number, because 34311014441 - 230 = 33237272617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34311014441.

It is not an unprimeable number, because it can be changed into a prime (34311014447) 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, 16237001 + ... + 16239113.

It is an arithmetic number, because the mean of its divisors is an integer number (1224323100).

Almost surely, 234311014441 is an apocalyptic number.

It is an amenable number.

34311014441 is a deficient number, since it is larger than the sum of its proper divisors (4867324759).

34311014441 is a wasteful number, since it uses less digits than its factorization.

34311014441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 34311014441 its reverse (14441011343), we get a palindrome (48752025784).

The spelling of 34311014441 in words is "thirty-four billion, three hundred eleven million, fourteen thousand, four hundred forty-one".

Divisors: 1 11 29 109 319 467 1199 2113 3161 5137 13543 23243 34771 50903 61277 148973 230317 559933 674047 986771 1476187 2533487 6679193 10854481 16238057 28616359 73471123 107558039 314779949 1183138429 3119183131 34311014441