Search a number
-
+
144333340224211 = 3134937935199811
BaseRepresentation
bin100000110100010100111001…
…011110010010101011010011
3200221001010120122101010212101
4200310110321132102223103
5122404224140044133321
61230545453210541231
742254511502326445
oct4064247136225323
9627033518333771
10144333340224211
1141a97475881016
1214230927737817
13626c763726a48
14278dab1664495
1511a4694b2a791
hex834539792ad3

144333340224211 has 16 divisors (see below), whose sum is σ = 149810399872000. Its totient is φ = 138909714199200.

The previous prime is 144333340224197. The next prime is 144333340224223. The reversal of 144333340224211 is 112422043333441.

It is a cyclic number.

It is not a de Polignac number, because 144333340224211 - 221 = 144333338127059 is a prime.

It is a super-2 number, since 2×1443333402242112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144333340254211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13499505 + ... + 21700306.

It is an arithmetic number, because the mean of its divisors is an integer number (9363149992000).

Almost surely, 2144333340224211 is an apocalyptic number.

144333340224211 is a deficient number, since it is larger than the sum of its proper divisors (5477059647789).

144333340224211 is a wasteful number, since it uses less digits than its factorization.

144333340224211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35200570.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 144333340224211 its reverse (112422043333441), we get a palindrome (256755383557652).

The spelling of 144333340224211 in words is "one hundred forty-four trillion, three hundred thirty-three billion, three hundred forty million, two hundred twenty-four thousand, two hundred eleven".

Divisors: 1 31 349 379 10819 11749 132271 4100401 35199811 1091194141 12284734039 13340728369 380826755209 413562579439 4655914200781 144333340224211