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34211444431 = 473971833509
BaseRepresentation
bin11111110111001010…
…010011011011001111
310021022020212110001111
4133313022103123033
51030031112210211
623414433552451
72320535323333
oct376712233317
9107266773044
1034211444431
111356651761a
126769415727
1332c2a49c58
1419278bd7c3
15d53719421
hex7f72936cf

34211444431 has 8 divisors (see below), whose sum is σ = 35027375040. Its totient is φ = 33399181728.

The previous prime is 34211444429. The next prime is 34211444447. The reversal of 34211444431 is 13444411243.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34211444431 - 21 = 34211444429 is a prime.

It is a super-2 number, since 2×342114444312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34211444393 and 34211444402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34211444471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898096 + ... + 935413.

It is an arithmetic number, because the mean of its divisors is an integer number (4378421880).

Almost surely, 234211444431 is an apocalyptic number.

34211444431 is a deficient number, since it is larger than the sum of its proper divisors (815930609).

34211444431 is a wasteful number, since it uses less digits than its factorization.

34211444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833953.

The product of its digits is 18432, while the sum is 31.

Adding to 34211444431 its reverse (13444411243), we get a palindrome (47655855674).

The spelling of 34211444431 in words is "thirty-four billion, two hundred eleven million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 47 397 18659 1833509 86174923 727903073 34211444431