Search a number
-
+
144535722552 = 233213154418507
BaseRepresentation
bin1000011010011100000…
…0000001101000111000
3111211001221110110101100
42012213000001220320
54332002121110202
6150222050051400
713304505241134
oct2064700015070
9454057413340
10144535722552
115632a713681
1224018879b60
13108254953b0
146dd1b963c4
153b5e01941c
hex21a7001a38

144535722552 has 48 divisors (see below), whose sum is σ = 421562526840. Its totient is φ = 44472529728.

The previous prime is 144535722497. The next prime is 144535722563. The reversal of 144535722552 is 255227535441.

It is a happy number.

144535722552 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 3 + 572 + 25 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144535722498 and 144535722507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77208318 + ... + 77210189.

Almost surely, 2144535722552 is an apocalyptic number.

144535722552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144535722552 is an abundant number, since it is smaller than the sum of its proper divisors (277026804288).

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

144535722552 is a wasteful number, since it uses less digits than its factorization.

144535722552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154418532 (or 154418525 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 45.

The spelling of 144535722552 in words is "one hundred forty-four billion, five hundred thirty-five million, seven hundred twenty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 154418507 308837014 463255521 617674028 926511042 1235348056 1389766563 1853022084 2007440591 2779533126 3706044168 4014881182 5559066252 6022321773 8029762364 11118132504 12044643546 16059524728 18066965319 24089287092 36133930638 48178574184 72267861276 144535722552