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114322342144 = 281959398369
BaseRepresentation
bin110101001111000100…
…1001000000100000000
3101221002022122201010011
41222132021020010000
53333113004422034
6124304032314304
711155004606023
oct1523611100400
9357068581104
10114322342144
1144535a887aa
121a1a63a2994
13aa1bb3c8ca
1457672851ba
152e917e1864
hex1a9e248100

114322342144 has 72 divisors (see below), whose sum is σ = 244280484000. Its totient is φ = 53234712576.

The previous prime is 114322342081. The next prime is 114322342193. The reversal of 114322342144 is 441243223411.

It is a happy number.

114322342144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87792 + ... + 486160.

It is an arithmetic number, because the mean of its divisors is an integer number (3392784500).

Almost surely, 2114322342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114322342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122140242000).

114322342144 is an abundant number, since it is smaller than the sum of its proper divisors (129958141856).

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

114322342144 is an equidigital number, since it uses as much as digits as its factorization.

114322342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398463 (or 398449 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 114322342144 its reverse (441243223411), we get a palindrome (555565565555).

The spelling of 114322342144 in words is "one hundred fourteen billion, three hundred twenty-two million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 472 608 944 1121 1216 1888 2242 2432 3776 4484 4864 7552 8968 15104 17936 35872 71744 143488 286976 398369 796738 1593476 3186952 6373904 7569011 12747808 15138022 23503771 25495616 30276044 47007542 50991232 60552088 94015084 101982464 121104176 188030168 242208352 376060336 446571649 484416704 752120672 893143298 968833408 1504241344 1786286596 1937666816 3008482688 3572573192 6016965376 7145146384 14290292768 28580585536 57161171072 114322342144