Search a number
-
+
144699552 = 2532502429
BaseRepresentation
bin10001001111111…
…11000010100000
3101002021111110200
420213333002200
5244020341202
622205225200
73404632404
oct1047770240
9332244420
10144699552
1174751a08
1240562200
1323c9444a
1415309104
15ca83e1c
hex89ff0a0

144699552 has 36 divisors (see below), whose sum is σ = 411490170. Its totient is φ = 48233088.

The previous prime is 144699539. The next prime is 144699553. The reversal of 144699552 is 255996441.

144699552 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 99 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113294736 + 31404816 = 10644^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 144699498 and 144699507.

It is not an unprimeable number, because it can be changed into a prime (144699553) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 250927 + ... + 251502.

Almost surely, 2144699552 is an apocalyptic number.

144699552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144699552 is an abundant number, since it is smaller than the sum of its proper divisors (266790618).

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

144699552 is a wasteful number, since it uses less digits than its factorization.

144699552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502445 (or 502434 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 144699552 is about 12029.1126854810. The cubic root of 144699552 is about 524.9956788760.

The spelling of 144699552 in words is "one hundred forty-four million, six hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 502429 1004858 1507287 2009716 3014574 4019432 4521861 6029148 8038864 9043722 12058296 16077728 18087444 24116592 36174888 48233184 72349776 144699552