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12334240134 = 2323131370621
BaseRepresentation
bin10110111110010110…
…11001000110000110
31011211121001022121200
423133023121012012
5200230031141014
65355525323330
7614440211526
oct133713310606
934747038550
1012334240134
11525a3a2197
122482866546
131217490558
14850185686
154c2c94a09
hex2df2d9186

12334240134 has 48 divisors (see below), whose sum is σ = 27674784384. Its totient is φ = 3966019200.

The previous prime is 12334240109. The next prime is 12334240151. The reversal of 12334240134 is 43104243321.

12334240134 is a `hidden beast` number, since 1 + 233 + 424 + 0 + 1 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12334240098 and 12334240107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139344 + ... + 209964.

It is an arithmetic number, because the mean of its divisors is an integer number (576558008).

Almost surely, 212334240134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12334240134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837392192).

12334240134 is an abundant number, since it is smaller than the sum of its proper divisors (15340544250).

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

12334240134 is a wasteful number, since it uses less digits than its factorization.

12334240134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70973 (or 70970 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12334240134 its reverse (43104243321), we get a palindrome (55438483455).

The spelling of 12334240134 in words is "twelve billion, three hundred thirty-four million, two hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 313 558 626 939 1878 2817 5634 9703 19406 29109 58218 70621 87327 141242 174654 211863 423726 635589 1271178 2189251 4378502 6567753 13135506 19703259 22104373 39406518 44208746 66313119 132626238 198939357 397878714 685235563 1370471126 2055706689 4111413378 6167120067 12334240134