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34040143632 = 24311223289103
BaseRepresentation
bin11111101100111100…
…110101111100010000
310020212022112110112110
4133230330311330100
51024203234044012
623345434225320
72313355306155
oct375474657420
9106768473473
1034040143632
1113488856810
12671bb85240
133296400831
14190cc4c22c
15d4367d73c
hex7ecf35f10

34040143632 has 80 divisors (see below), whose sum is σ = 96361832448. Its totient is φ = 10268903040.

The previous prime is 34040143609. The next prime is 34040143639. The reversal of 34040143632 is 23634104043.

It is a self number, because there is not a number n which added to its sum of digits gives 34040143632.

It is not an unprimeable number, because it can be changed into a prime (34040143639) 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, 26808 + ... + 262295.

Almost surely, 234040143632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34040143632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48180916224).

34040143632 is an abundant number, since it is smaller than the sum of its proper divisors (62321688816).

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

34040143632 is a wasteful number, since it uses less digits than its factorization.

34040143632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289348 (or 289342 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34040143632 its reverse (23634104043), we get a palindrome (57674247675).

The spelling of 34040143632 in words is "thirty-four billion, forty million, one hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 446 528 669 892 1338 1784 2453 2676 3568 4906 5352 7359 9812 10704 14718 19624 29436 39248 58872 117744 289103 578206 867309 1156412 1734618 2312824 3180133 3469236 4625648 6360266 6938472 9540399 12720532 13876944 19080798 25441064 38161596 50882128 64469969 76323192 128939938 152646384 193409907 257879876 386819814 515759752 709169659 773639628 1031519504 1418339318 1547279256 2127508977 2836678636 3094558512 4255017954 5673357272 8510035908 11346714544 17020071816 34040143632