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34253023521040 = 245428162794013
BaseRepresentation
bin1111100100111001001110…
…10011001010100100010000
311111021120001002210002200021
413302130213103022210100
513442200143010133130
6200503342145233224
710133461566010252
oct762344723124420
9144246032702607
1034253023521040
11aa06697891a95
123a12570332814
13161607a82506c
14865bd88a7cd2
153e5eee23b37a
hex1f27274ca910

34253023521040 has 20 divisors (see below), whose sum is σ = 79638279686604. Its totient is φ = 13701209408384.

The previous prime is 34253023521019. The next prime is 34253023521091. The reversal of 34253023521040 is 4012532035243.

It can be written as a sum of positive squares in 2 ways, for example, as 13000812880896 + 21252210640144 = 3605664^2 + 4610012^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 34253023520987 and 34253023521005.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214081396927 + ... + 214081397086.

Almost surely, 234253023521040 is an apocalyptic number.

It is an amenable number.

34253023521040 is an abundant number, since it is smaller than the sum of its proper divisors (45385256165564).

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

34253023521040 is a wasteful number, since it uses less digits than its factorization.

34253023521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428162794026 (or 428162794020 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 34253023521040 its reverse (4012532035243), we get a palindrome (38265555556283).

The spelling of 34253023521040 in words is "thirty-four trillion, two hundred fifty-three billion, twenty-three million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 428162794013 856325588026 1712651176052 2140813970065 3425302352104 4281627940130 6850604704208 8563255880260 17126511760520 34253023521040