Search a number
-
+
122442553121445 = 32515717330863853
BaseRepresentation
bin11011110101110001100000…
…111000100101101010100101
3121001112101122001101210121100
4123311301200320211222211
5112022044322044341240
61112225155443110313
734535116416150624
oct3365614070455245
9531471561353540
10122442553121445
1136017660191357
121189622b372399
13534238b2c017b
1422343733ab6bb
15e25029c33e30
hex6f5c60e25aa5

122442553121445 has 24 divisors (see below), whose sum is σ = 213585566136696. Its totient is φ = 64886754261888.

The previous prime is 122442553121431. The next prime is 122442553121491. The reversal of 122442553121445 is 544121355244221.

It is a happy number.

122442553121445 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 42 + 553 + 1 + 2 + 14 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38959355678049 + 83483197443396 = 6241743^2 + 9136914^2 .

It is not a de Polignac number, because 122442553121445 - 29 = 122442553120933 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122442553121445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8665424862 + ... + 8665438991.

It is an arithmetic number, because the mean of its divisors is an integer number (8899398589029).

Almost surely, 2122442553121445 is an apocalyptic number.

122442553121445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122442553121445 is a deficient number, since it is larger than the sum of its proper divisors (91143013015251).

122442553121445 is a wasteful number, since it uses less digits than its factorization.

122442553121445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17330864021 (or 17330864018 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The spelling of 122442553121445 in words is "one hundred twenty-two trillion, four hundred forty-two billion, five hundred fifty-three million, one hundred twenty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 17330863853 51992591559 86654319265 155977774677 259962957795 779888873385 2720945624921 8162836874763 13604728124605 24488510624289 40814184373815 122442553121445