Search a number
-
+
34096719318912 = 2733231699325243
BaseRepresentation
bin1111100000010110000101…
…10101111100111110000000
311110201121120222211221021000
413300023002311330332000
513432120040121201122
6200303452215532000
710116256330140045
oct760130265747600
9143647528757230
1034096719318912
11a956379179538
1239a820a38a000
1316043cb16a4b3
1485c40bb5d1cc
153e1e01e850ac
hex1f02c2d7cf80

34096719318912 has 256 divisors, whose sum is σ = 105018352012800. Its totient is φ = 10870347350016.

The previous prime is 34096719318911. The next prime is 34096719318913. The reversal of 34096719318912 is 21981391769043.

34096719318912 is a `hidden beast` number, since 3 + 409 + 67 + 1 + 93 + 1 + 89 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34096719318911) and next prime (34096719318913).

It is a self number, because there is not a number n which added to its sum of digits gives 34096719318912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34096719318911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350726963 + ... + 1350752205.

It is an arithmetic number, because the mean of its divisors is an integer number (410227937550).

Almost surely, 234096719318912 is an apocalyptic number.

34096719318912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34096719318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509176006400).

34096719318912 is an abundant number, since it is smaller than the sum of its proper divisors (70921632693888).

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

34096719318912 is a wasteful number, since it uses less digits than its factorization.

34096719318912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42282 (or 42264 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 34096719318912 in words is "thirty-four trillion, ninety-six billion, seven hundred nineteen million, three hundred eighteen thousand, nine hundred twelve".