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34023401430431 = 731266835876021
BaseRepresentation
bin1111011110001101100001…
…10000011001110110011111
311110110121100100022022000212
413233012300300121312133
513424414411231233211
6200210045043043035
710111052414312120
oct757066060316637
9143417310268025
1034023401430431
11a928275134776
123995b6837047b
1315ca51551952a
14858a54632047
153e006043b38b
hex1ef1b0c19d9f

34023401430431 has 16 divisors (see below), whose sum is σ = 40139717388288. Its totient is φ = 28221113815200.

The previous prime is 34023401430373. The next prime is 34023401430497. The reversal of 34023401430431 is 13403410432043.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34023401430431 is a prime.

It is a super-2 number, since 2×340234014304312 (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 (34023401430331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852201 + ... + 8728221.

It is an arithmetic number, because the mean of its divisors is an integer number (2508732336768).

Almost surely, 234023401430431 is an apocalyptic number.

34023401430431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34023401430431 is a deficient number, since it is larger than the sum of its proper divisors (6116315957857).

34023401430431 is a wasteful number, since it uses less digits than its factorization.

34023401430431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902742.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34023401430431 its reverse (13403410432043), we get a palindrome (47426811862474).

The spelling of 34023401430431 in words is "thirty-four trillion, twenty-three billion, four hundred one million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 7 31 217 26683 186781 827173 5790211 5876021 41132147 182156651 1275096557 156789868343 1097529078401 4860485918633 34023401430431