Search a number
-
+
144819243 = 321729127257
BaseRepresentation
bin10001010000111…
…00010000101011
3101002111120122200
420220130100223
5244033203433
622211551243
73405641352
oct1050342053
9332446580
10144819243
1174823928
12405bb523
1324006a7a
141533a999
15caa9613
hex8a1c42b

144819243 has 48 divisors (see below), whose sum is σ = 231828480. Its totient is φ = 86704128.

The previous prime is 144819239. The next prime is 144819271. The reversal of 144819243 is 342918441.

It is a happy number.

It is not a de Polignac number, because 144819243 - 22 = 144819239 is a prime.

It is a super-2 number, since 2×1448192432 = 41945226286186098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144819198 and 144819207.

It is not an unprimeable number, because it can be changed into a prime (144819203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563371 + ... + 563627.

It is an arithmetic number, because the mean of its divisors is an integer number (4829760).

Almost surely, 2144819243 is an apocalyptic number.

144819243 is a deficient number, since it is larger than the sum of its proper divisors (87009237).

144819243 is a wasteful number, since it uses less digits than its factorization.

144819243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 144819243 is about 12034.0867123351. The cubic root of 144819243 is about 525.1403923857.

The spelling of 144819243 in words is "one hundred forty-four million, eight hundred nineteen thousand, two hundred forty-three".

Divisors: 1 3 9 17 29 51 87 127 153 257 261 381 493 771 1143 1479 2159 2313 3683 4369 4437 6477 7453 11049 13107 19431 22359 32639 33147 39321 62611 67077 97917 126701 187833 293751 380103 554863 563499 946531 1140309 1664589 2839593 4993767 8518779 16091027 48273081 144819243