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34242020202429 = 32132250113006837
BaseRepresentation
bin1111100100100100101110…
…11100110101011110111101
311111020111122021002121011100
413302102113130311132331
513442010124132434204
6200454322242043313
710132622116233204
oct762222734653675
9144214567077140
1034242020202429
11aa01a60797946
123a103bb349539
131615016008050
148654733b223b
153e5aa8243a39
hex1f24977357bd

34242020202429 has 24 divisors (see below), whose sum is σ = 53267736099032. Its totient is φ = 21071074320000.

The previous prime is 34242020202421. The next prime is 34242020202433. The reversal of 34242020202429 is 92420202024243.

34242020202429 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 2 + 0 + 20 + 202 + 429 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20454797199204 + 13787223003225 = 4522698^2 + 3713115^2 .

It is not a de Polignac number, because 34242020202429 - 23 = 34242020202421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34242020202393 and 34242020202402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242020202421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3870802 + ... + 9136035.

Almost surely, 234242020202429 is an apocalyptic number.

34242020202429 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34242020202429 is a deficient number, since it is larger than the sum of its proper divisors (19025715896603).

34242020202429 is a wasteful number, since it uses less digits than its factorization.

34242020202429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13029357 (or 13029354 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34242020202429 in words is "thirty-four trillion, two hundred forty-two billion, twenty million, two hundred two thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 39 117 22501 67503 202509 292513 877539 2632617 13006837 39020511 117061533 169088881 507266643 1521799929 292666839337 878000518011 2634001554033 3804668911381 11414006734143 34242020202429