Search a number
-
+
114512351244340 = 2257817945366031
BaseRepresentation
bin11010000010010111111100…
…000001001011000000110100
3120000110021101122111102021211
4122002113330001023000310
5110002132243404304330
61043314125315051204
733056146546325140
oct3202277401130064
9500407348442254
10114512351244340
113353a462a45a05
1210a153168a0b04
134bb861207cb5a
14203c5da9d4220
15d38ae0803d2a
hex6825fc04b034

114512351244340 has 24 divisors (see below), whose sum is σ = 274829642986752. Its totient is φ = 39261377569440.

The previous prime is 114512351244299. The next prime is 114512351244359. The reversal of 114512351244340 is 43442153215411.

It is a super-2 number, since 2×1145123512443402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114512351244293 and 114512351244302.

It is a congruent number.

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, 408972682876 + ... + 408972683155.

It is an arithmetic number, because the mean of its divisors is an integer number (11451235124448).

Almost surely, 2114512351244340 is an apocalyptic number.

114512351244340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114512351244340 is an abundant number, since it is smaller than the sum of its proper divisors (160317291742412).

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

114512351244340 is a wasteful number, since it uses less digits than its factorization.

114512351244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817945366047 (or 817945366045 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 114512351244340 in words is "one hundred fourteen trillion, five hundred twelve billion, three hundred fifty-one million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 817945366031 1635890732062 3271781464124 4089726830155 5725617562217 8179453660310 11451235124434 16358907320620 22902470248868 28628087811085 57256175622170 114512351244340