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34142023253 = 1317154488793
BaseRepresentation
bin11111110011000001…
…011110111001010101
310021010102020111002202
4133303001132321111
51024410324221003
623403514014245
72316033260252
oct376301367125
9107112214082
1034142023253
1113530311448
12674a117385
1332b1551a30
14191c5ac429
15d4c5a5088
hex7f305ee55

34142023253 has 8 divisors (see below), whose sum is σ = 38931176088. Its totient is φ = 29661848064.

The previous prime is 34142023249. The next prime is 34142023261. The reversal of 34142023253 is 35232024143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4136161969 + 30005861284 = 64313^2 + 173222^2 .

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

It is not a de Polignac number, because 34142023253 - 22 = 34142023249 is a prime.

It is a super-3 number, since 3×341420232533 (a number of 33 digits) contains 333 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 (34142023213) 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, 77244176 + ... + 77244617.

It is an arithmetic number, because the mean of its divisors is an integer number (4866397011).

Almost surely, 234142023253 is an apocalyptic number.

It is an amenable number.

34142023253 is a deficient number, since it is larger than the sum of its proper divisors (4789152835).

34142023253 is a wasteful number, since it uses less digits than its factorization.

34142023253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154488823.

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 34142023253 its reverse (35232024143), we get a palindrome (69374047396).

The spelling of 34142023253 in words is "thirty-four billion, one hundred forty-two million, twenty-three thousand, two hundred fifty-three".

Divisors: 1 13 17 221 154488793 2008354309 2626309481 34142023253