Search a number
-
+
144311240414424 = 23311977350203037
BaseRepresentation
bin100000110100000000010100…
…001110001101010011011000
3200220222000112110200111002210
4200310000110032031103120
5122403343410021230144
61230531400231155120
742253100032130226
oct4064002416152330
9626860473614083
10144311240414424
1141a89065033906
121422859a515aa0
13626a650cc9a15
14278c9b6541b16
1511a3cee883ab9
hex83401438d4d8

144311240414424 has 32 divisors (see below), whose sum is σ = 360781120404720. Its totient is φ = 48103344222336.

The previous prime is 144311240414389. The next prime is 144311240414461. The reversal of 144311240414424 is 424414042113441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22226967 + ... + 27976070.

Almost surely, 2144311240414424 is an apocalyptic number.

It is an amenable number.

144311240414424 is an abundant number, since it is smaller than the sum of its proper divisors (216469879990296).

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

144311240414424 is a wasteful number, since it uses less digits than its factorization.

144311240414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50322819 (or 50322815 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

Adding to 144311240414424 its reverse (424414042113441), we get a palindrome (568725282527865).

The spelling of 144311240414424 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 119773 239546 359319 479092 718638 958184 1437276 2874552 50203037 100406074 150609111 200812148 301218222 401624296 602436444 1204872888 6012968350601 12025936701202 18038905051803 24051873402404 36077810103606 48103746804808 72155620207212 144311240414424