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114232192844 = 227111986322619
BaseRepresentation
bin110101001100011000…
…1001110111101001100
3101220212001000122112012
41222120301032331030
53332421420132334
6124251052200352
711152531422050
oct1523061167514
9356761018465
10114232192844
114449a105250
121a1801690b8
13aa06267a23
1457592d9c60
152e889359ce
hex1a98c4ef4c

114232192844 has 96 divisors (see below), whose sum is σ = 262667059200. Its totient is φ = 42112906560.

The previous prime is 114232192819. The next prime is 114232192849. The reversal of 114232192844 is 448291232411.

114232192844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (114232192849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5038967 + ... + 5061585.

It is an arithmetic number, because the mean of its divisors is an integer number (2736115200).

Almost surely, 2114232192844 is an apocalyptic number.

114232192844 is a gapful number since it is divisible by the number (14) 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 114232192844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131333529600).

114232192844 is an abundant number, since it is smaller than the sum of its proper divisors (148434866356).

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

114232192844 is a wasteful number, since it uses less digits than its factorization.

114232192844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23523 (or 23521 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The spelling of 114232192844 in words is "one hundred fourteen billion, two hundred thirty-two million, one hundred ninety-two thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 863 1463 1726 2926 3452 5852 6041 9493 12082 16397 18986 22619 24164 32794 37972 45238 65588 66451 90476 114779 132902 158333 180367 229558 248809 265804 316666 360734 429761 459116 497618 633332 721468 859522 995236 1262569 1719044 1741663 2525138 3008327 3483326 4727371 5050276 6016654 6966652 9454742 12033308 18909484 19520197 33091597 39040394 66183194 78080788 132366388 136641379 214722167 273282758 370883743 429444334 546565516 741767486 858888668 1483534972 1503055169 2596186201 3006110338 4079721173 5192372402 6012220676 8159442346 10384744804 16318884692 28558048211 57116096422 114232192844