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34431212141 = 167275374891
BaseRepresentation
bin100000000100010000…
…101001101001101101
310021212120101210200022
4200010100221221231
51031003342242031
623452324211525
72326144321454
oct400420515155
9107776353608
1034431212141
1113669581327
12680ab39ba5
133329435a11
141948b69b9b
15d67b7a97b
hex804429a6d

34431212141 has 8 divisors (see below), whose sum is σ = 34650431424. Its totient is φ = 34212148480.

The previous prime is 34431212131. The next prime is 34431212177. The reversal of 34431212141 is 14121213443.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34431212141 is a prime.

It is a super-3 number, since 3×344312121413 (a number of 33 digits) contains 333 as substring.

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 34431212141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422306 + ... + 497196.

It is an arithmetic number, because the mean of its divisors is an integer number (4331303928).

Almost surely, 234431212141 is an apocalyptic number.

It is an amenable number.

34431212141 is a deficient number, since it is larger than the sum of its proper divisors (219219283).

34431212141 is a wasteful number, since it uses less digits than its factorization.

34431212141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77811.

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

Adding to 34431212141 its reverse (14121213443), we get a palindrome (48552425584).

The spelling of 34431212141 in words is "thirty-four billion, four hundred thirty-one million, two hundred twelve thousand, one hundred forty-one".

Divisors: 1 167 2753 74891 459751 12506797 206174923 34431212141