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34435322450431 = 713890013541633
BaseRepresentation
bin1111101010001100110010…
…01010011001000111111111
311111220222120211101020011221
413311012121022121013333
514003142020021403211
6201123211352054211
710152604251232360
oct765063112310777
9144828524336157
1034435322450431
11aa76a35883911
123a41967994367
13162a310828356
1487096db33b67
153eab1d6a3c71
hex1f51992991ff

34435322450431 has 8 divisors (see below), whose sum is σ = 39354693674144. Its totient is φ = 29515961088000.

The previous prime is 34435322450393. The next prime is 34435322450437. The reversal of 34435322450431 is 13405422353443.

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 34435322450431 - 211 = 34435322448383 is a prime.

It is a super-2 number, since 2×344353224504312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34435322450437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7952191 + ... + 11493823.

It is an arithmetic number, because the mean of its divisors is an integer number (4919336709268).

Almost surely, 234435322450431 is an apocalyptic number.

34435322450431 is a deficient number, since it is larger than the sum of its proper divisors (4919371223713).

34435322450431 is a wasteful number, since it uses less digits than its factorization.

34435322450431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930641.

The product of its (nonzero) digits is 2073600, while the sum is 43.

The spelling of 34435322450431 in words is "thirty-four trillion, four hundred thirty-five billion, three hundred twenty-two million, four hundred fifty thousand, four hundred thirty-one".

Divisors: 1 7 1389001 3541633 9723007 24791431 4919331778633 34435322450431