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134432012112 = 24311346795297
BaseRepresentation
bin111110100110011000…
…1011011011101010000
3110211222210112210021120
41331030301123131100
54200304043341422
6141431320322240
712466231151316
oct1751461333520
9424883483246
10134432012112
1152015403462
1222079013380
13c8a51655c8
146713d580b6
15376bec245c
hex1f4cc5b750

134432012112 has 80 divisors (see below), whose sum is σ = 350497031040. Its totient is φ = 44396240896.

The previous prime is 134432012111. The next prime is 134432012129. The reversal of 134432012112 is 211210234431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134432012111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25376248 + ... + 25381544.

It is an arithmetic number, because the mean of its divisors is an integer number (4381212888).

Almost surely, 2134432012112 is an apocalyptic number.

134432012112 is a gapful number since it is divisible by the number (12) 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 134432012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175248515520).

134432012112 is an abundant number, since it is smaller than the sum of its proper divisors (216065018928).

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

134432012112 is a wasteful number, since it uses less digits than its factorization.

134432012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 134432012112 its reverse (211210234431), we get a palindrome (345642246543).

The spelling of 134432012112 in words is "one hundred thirty-four billion, four hundred thirty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 4679 5297 5424 9358 10594 14037 15891 18716 21188 28074 31782 37432 42376 56148 63564 74864 84752 112296 127128 224592 254256 528727 598561 1057454 1197122 1586181 1795683 2114908 2394244 3172362 3591366 4229816 4788488 6344724 7182732 8459632 9576976 12689448 14365464 24784663 25378896 28730928 49569326 74353989 99138652 148707978 198277304 297415956 396554608 594831912 1189663824 2800666919 5601333838 8402000757 11202667676 16804001514 22405335352 33608003028 44810670704 67216006056 134432012112