Search a number
-
+
144452251215 = 3253379525371
BaseRepresentation
bin1000011010001000000…
…1100110111001001111
3111210212010101200020100
42012202001212321033
54331314234014330
6150205505022143
713302442606356
oct2064201467117
9453763350210
10144452251215
11562975913a8
1223bb4924953
13108110bac7c
146dc4a6899d
153b56a2c060
hex21a2066e4f

144452251215 has 24 divisors (see below), whose sum is σ = 251126907408. Its totient is φ = 76812583680.

The previous prime is 144452251213. The next prime is 144452251319. The reversal of 144452251215 is 512152254441.

144452251215 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 522 + 5 + 121 + 5 = 666.

It is not a de Polignac number, because 144452251215 - 21 = 144452251213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144452251215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144452251213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4747521 + ... + 4777850.

It is an arithmetic number, because the mean of its divisors is an integer number (10463621142).

Almost surely, 2144452251215 is an apocalyptic number.

144452251215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144452251215 is a deficient number, since it is larger than the sum of its proper divisors (106674656193).

144452251215 is a wasteful number, since it uses less digits than its factorization.

144452251215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525719 (or 9525716 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The spelling of 144452251215 in words is "one hundred forty-four billion, four hundred fifty-two million, two hundred fifty-one thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 45 337 1011 1685 3033 5055 15165 9525371 28576113 47626855 85728339 142880565 428641695 3210050027 9630150081 16050250135 28890450243 48150750405 144452251215