Search a number
-
+
34103172969229 = 721378768026891
BaseRepresentation
bin1111100000100010000111…
…00000101011001100001101
311110202020020202112100011211
413300101003200223030031
513432221244240003404
6200310440440014421
710116605263230100
oct760210340531415
9143666222470154
1034103172969229
11a959090089541
1239a950b761411
131604bb92105b0
1485c860cda737
153e217d82cb04
hex1f044382b30d

34103172969229 has 24 divisors (see below), whose sum is σ = 42776942335008. Its totient is φ = 26948444312160.

The previous prime is 34103172969211. The next prime is 34103172969241. The reversal of 34103172969229 is 92296927130143.

It is a happy number.

It is not a de Polignac number, because 34103172969229 - 25 = 34103172969197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103172969269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33512127 + ... + 34514764.

It is an arithmetic number, because the mean of its divisors is an integer number (1782372597292).

Almost surely, 234103172969229 is an apocalyptic number.

It is an amenable number.

34103172969229 is a deficient number, since it is larger than the sum of its proper divisors (8673769365779).

34103172969229 is a wasteful number, since it uses less digits than its factorization.

34103172969229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68027705 (or 68027698 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 34103172969229 in words is "thirty-four trillion, one hundred three billion, one hundred seventy-two million, nine hundred sixty-nine thousand, two hundred twenty-nine".

Divisors: 1 7 13 49 91 637 787 5509 10231 38563 71617 501319 68026891 476188237 884349583 3333317659 6190447081 43333129567 53537163217 374760142519 695983121821 2623320997633 4871881852747 34103172969229