Search a number
-
+
34204210012413 = 32741109121486679
BaseRepresentation
bin1111100011011110010011…
…10010011010000011111101
311111002220001012112221020100
413301233021302122003331
513440400210230344123
6200425110330311313
710130113132021110
oct761571162320375
9144086035487210
1034204210012413
11a997a18939521
123a05008888539
13161159b829c4c
148636c798c577
153e4ae3b14643
hex1f1bc9c9a0fd

34204210012413 has 48 divisors (see below), whose sum is σ = 58371920006400. Its totient is φ = 18893608162560.

The previous prime is 34204210012403. The next prime is 34204210012421. The reversal of 34204210012413 is 31421001240243.

34204210012413 is a `hidden beast` number, since 3 + 4 + 20 + 4 + 210 + 0 + 12 + 413 = 666.

It is not a de Polignac number, because 34204210012413 - 28 = 34204210012157 is a prime.

It is a super-2 number, since 2×342042100124132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34204210012403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60461793 + ... + 61024886.

It is an arithmetic number, because the mean of its divisors is an integer number (1216081666800).

Almost surely, 234204210012413 is an apocalyptic number.

It is an amenable number.

34204210012413 is a deficient number, since it is larger than the sum of its proper divisors (24167709993987).

34204210012413 is a wasteful number, since it uses less digits than its factorization.

34204210012413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121486842 (or 121486839 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34204210012413 its reverse (31421001240243), we get a palindrome (65625211252656).

The spelling of 34204210012413 in words is "thirty-four trillion, two hundred four billion, two hundred ten million, twelve thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 41 63 109 123 287 327 369 763 861 981 2289 2583 4469 6867 13407 31283 40221 93849 281547 121486679 364460037 850406753 1093380111 2551220259 4980953839 7653660777 13242048011 14942861517 34866676873 39726144033 44828584551 92694336077 104600030619 119178432099 278083008231 313800091857 542923968451 834249024693 1628771905353 3800467779157 4886315716059 11401403337471 34204210012413