Search a number
-
+
34134300422320 = 245760954107897
BaseRepresentation
bin1111100001011100000101…
…10110011111000010110000
311110212012121002022210102211
413300232002312133002300
513433224021402003240
6200333025305221504
710122056533222150
oct760560266370260
9143765532283384
1034134300422320
11a97030378878a
1239b3558191894
131607b0a048ca7
14860174d8c760
153e2da1411bea
hex1f0b82d9f0b0

34134300422320 has 40 divisors (see below), whose sum is σ = 90699712552224. Its totient is φ = 11703188716032.

The previous prime is 34134300422309. The next prime is 34134300422323. The reversal of 34134300422320 is 2322400343143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (34134300422323) 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, 30477053389 + ... + 30477054508.

Almost surely, 234134300422320 is an apocalyptic number.

It is an amenable number.

34134300422320 is an abundant number, since it is smaller than the sum of its proper divisors (56565412129904).

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

34134300422320 is a wasteful number, since it uses less digits than its factorization.

34134300422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60954107917 (or 60954107911 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 34134300422320 its reverse (2322400343143), we get a palindrome (36456700765463).

The spelling of 34134300422320 in words is "thirty-four trillion, one hundred thirty-four billion, three hundred million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 60954107897 121908215794 243816431588 304770539485 426678755279 487632863176 609541078970 853357510558 975265726352 1219082157940 1706715021116 2133393776395 2438164315880 3413430042232 4266787552790 4876328631760 6826860084464 8533575105580 17067150211160 34134300422320