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34431144140343 = 341661423491681
BaseRepresentation
bin1111101010000101000000…
…00111011001111000110111
311111220120210122011002021110
413311002200013121320313
514003104440344442333
6201121241012250103
710152365564206326
oct765024007317067
9144816718132243
1034431144140343
11aa75191281685
123a40ba0610933
131629ac5ca5012
14870694c460bd
153ea97695b063
hex1f50a01d9e37

34431144140343 has 16 divisors (see below), whose sum is σ = 47099050905312. Its totient is φ = 22360360704000.

The previous prime is 34431144140279. The next prime is 34431144140363. The reversal of 34431144140343 is 34304144113443.

It is not a de Polignac number, because 34431144140343 - 26 = 34431144140279 is a prime.

It is a super-2 number, since 2×344311441403432 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431144140363) 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 15 ways as a sum of consecutive naturals, for example, 211664538 + ... + 211827143.

It is an arithmetic number, because the mean of its divisors is an integer number (2943690681582).

Almost surely, 234431144140343 is an apocalyptic number.

34431144140343 is a deficient number, since it is larger than the sum of its proper divisors (12667906764969).

34431144140343 is a wasteful number, since it uses less digits than its factorization.

34431144140343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423492386.

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 34431144140343 its reverse (34304144113443), we get a palindrome (68735288253786).

The spelling of 34431144140343 in words is "thirty-four trillion, four hundred thirty-one billion, one hundred forty-four million, one hundred forty thousand, three hundred forty-three".

Divisors: 1 3 41 123 661 1983 27101 81303 423491681 1270475043 17363158921 52089476763 279928001141 839784003423 11477048046781 34431144140343