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34142443040 = 255213390269
BaseRepresentation
bin11111110011000011…
…000101011000100000
310021010110000210221102
4133303003011120200
51024410431134130
623403531013532
72316036656156
oct376303053040
9107113023842
1034142443040
1113530578882
12674a29a2a8
1332b166ab24
14191c67b3d6
15d4c639645
hex7f30c5620

34142443040 has 24 divisors (see below), whose sum is σ = 80661522060. Its totient is φ = 13656977152.

The previous prime is 34142443039. The next prime is 34142443043. The reversal of 34142443040 is 4034424143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33575431696 + 567011344 = 183236^2 + 23812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34142442994 and 34142443012.

It is not an unprimeable number, because it can be changed into a prime (34142443043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106694975 + ... + 106695294.

Almost surely, 234142443040 is an apocalyptic number.

It is an amenable number.

34142443040 is an abundant number, since it is smaller than the sum of its proper divisors (46519079020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34142443040 is a wasteful number, since it uses less digits than its factorization.

34142443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213390284 (or 213390276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 34142443040 its reverse (4034424143), we get a palindrome (38176867183).

The spelling of 34142443040 in words is "thirty-four billion, one hundred forty-two million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 213390269 426780538 853561076 1066951345 1707122152 2133902690 3414244304 4267805380 6828488608 8535610760 17071221520 34142443040