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134412234120 = 233253112499643
BaseRepresentation
bin111110100101110010…
…1111110110110001000
3110211221102022221222100
41331023211332312020
54200234012442440
6141425332353400
712465601065453
oct1751345766610
9424842287870
10134412234120
1152005224a0a
1222072475860
13c8a102c258
14671148a49a
15376a3b7230
hex1f4b97ed88

134412234120 has 192 divisors, whose sum is σ = 451339200000. Its totient is φ = 34655662080.

The previous prime is 134412234107. The next prime is 134412234127. The reversal of 134412234120 is 21432214431.

134412234120 is a `hidden beast` number, since 1 + 3 + 4 + 412 + 234 + 12 + 0 = 666.

It is a super-2 number, since 2×1344122341202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134412234127) 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, 13934019 + ... + 13943661.

It is an arithmetic number, because the mean of its divisors is an integer number (2350725000).

Almost surely, 2134412234120 is an apocalyptic number.

134412234120 is a gapful number since it is divisible by the number (10) 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 134412234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225669600000).

134412234120 is an abundant number, since it is smaller than the sum of its proper divisors (316926965880).

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

134412234120 is a wasteful number, since it uses less digits than its factorization.

134412234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10940 (or 10933 counting only the distinct ones).

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

Adding to 134412234120 its reverse (21432214431), we get a palindrome (155844448551).

The spelling of 134412234120 in words is "one hundred thirty-four billion, four hundred twelve million, two hundred thirty-four thousand, one hundred twenty".