Search a number
-
+
144466574337 = 3273461476981
BaseRepresentation
bin1000011010001011100…
…0001111110000000001
3111210220010100100212100
42012202320033300001
54331331420334322
6150211140021013
713303005422631
oct2064270176001
9453803310770
10144466574337
11562a4684598
1223bb9691769
13108140644a7
146dc69166c1
153b57e0adac
hex21a2e0fc01

144466574337 has 24 divisors (see below), whose sum is σ = 211991788008. Its totient is φ = 94785465600.

The previous prime is 144466574321. The next prime is 144466574359. The reversal of 144466574337 is 733475664441.

144466574337 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 66 + 574 + 3 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4677328881 + 139789245456 = 68391^2 + 373884^2 .

It is not a de Polignac number, because 144466574337 - 24 = 144466574321 is a prime.

It is a super-2 number, since 2×1444665743372 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144466576337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64387 + ... + 541367.

It is an arithmetic number, because the mean of its divisors is an integer number (8832991167).

Almost surely, 2144466574337 is an apocalyptic number.

It is an amenable number.

144466574337 is a deficient number, since it is larger than the sum of its proper divisors (67525213671).

144466574337 is a wasteful number, since it uses less digits than its factorization.

144466574337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477521 (or 477518 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 144466574337 in words is "one hundred forty-four billion, four hundred sixty-six million, five hundred seventy-four thousand, three hundred thirty-seven".

Divisors: 1 3 9 73 219 461 657 1383 4149 33653 100959 302877 476981 1430943 4292829 34819613 104458839 219888241 313376517 659664723 1978994169 16051841593 48155524779 144466574337