Search a number
-
+
114523254440550 = 232521117722769627
BaseRepresentation
bin11010000010100010000101…
…111001100100001001100110
3120000111022112111210011200200
4122002202011321210021212
5110002322111114044200
61043323131244251330
733060014002060164
oct3202420571441146
9500438474704620
10114523254440550
113354404857566a
1210a1745a240b46
134bb965bc12747
14203cd52aa6234
15d3902cb20800
hex682885e64266

114523254440550 has 72 divisors (see below), whose sum is σ = 307713352256856. Its totient is φ = 30536800821120.

The previous prime is 114523254440537. The next prime is 114523254440597. The reversal of 114523254440550 is 55044452325411.

114523254440550 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 3 + 2 + 54 + 4 + 40 + 550 = 666.

It is a super-3 number, since 3×1145232544405503 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 114523254440496 and 114523254440505.

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 35 ways as a sum of consecutive naturals, for example, 6355164 + ... + 16414463.

It is an arithmetic number, because the mean of its divisors is an integer number (4273796559123).

Almost surely, 2114523254440550 is an apocalyptic number.

114523254440550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114523254440550 is an abundant number, since it is smaller than the sum of its proper divisors (193190097816306).

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

114523254440550 is a wasteful number, since it uses less digits than its factorization.

114523254440550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22780822 (or 22780814 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 114523254440550 in words is "one hundred fourteen trillion, five hundred twenty-three billion, two hundred fifty-four million, four hundred forty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 11177 22354 33531 55885 67062 100593 111770 167655 201186 279425 335310 502965 558850 838275 1005930 1676550 2514825 5029650 22769627 45539254 68308881 113848135 136617762 204926643 227696270 341544405 409853286 569240675 683088810 1024633215 1138481350 1707722025 2049266430 3415444050 5123166075 10246332150 254496120979 508992241958 763488362937 1272480604895 1526976725874 2290465088811 2544961209790 3817441814685 4580930177622 6362403024475 7634883629370 11452325444055 12724806048950 19087209073425 22904650888110 38174418146850 57261627220275 114523254440550