Search a number
-
+
114404145202312 = 23717120172421431
BaseRepresentation
bin11010000000110011001010…
…011011111000010010001000
3120000001221002120201221121121
4122000303022123320102020
5104443344142132433222
61043152312212045024
733045266240205640
oct3200631233702210
9500057076657547
10114404145202312
11334a8586502a99
12109b8358903774
134bab359438b54
142037293b93520
15d35daae6e5c7
hex680cca6f8488

114404145202312 has 32 divisors (see below), whose sum is σ = 259572430293120. Its totient is φ = 46146209829120.

The previous prime is 114404145202307. The next prime is 114404145202339. The reversal of 114404145202312 is 213202541404411.

114404145202312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 60086209764 + ... + 60086211667.

It is an arithmetic number, because the mean of its divisors is an integer number (8111638446660).

Almost surely, 2114404145202312 is an apocalyptic number.

It is an amenable number.

114404145202312 is an abundant number, since it is smaller than the sum of its proper divisors (145168285090808).

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

114404145202312 is a wasteful number, since it uses less digits than its factorization.

114404145202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120172421461 (or 120172421457 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 114404145202312 its reverse (213202541404411), we get a palindrome (327606686606723).

The spelling of 114404145202312 in words is "one hundred fourteen trillion, four hundred four billion, one hundred forty-five million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 120172421431 240344842862 480689685724 841206950017 961379371448 1682413900034 2042931164327 3364827800068 4085862328654 6729655600136 8171724657308 14300518150289 16343449314616 28601036300578 57202072601156 114404145202312