Search a number
-
+
144131212131433 = 6112295719216529
BaseRepresentation
bin100000110001011000101001…
…101100110011110001101001
3200220022210211222201010212221
4200301120221230303301221
5122342421210301201213
61230312544220234041
742234064541022352
oct4061305154636151
9626283758633787
10144131212131433
1141a1978183425a
12141b971739b921
136256690561b97
142783db8aa2d29
15119e2b494038d
hex831629b33c69

144131212131433 has 8 divisors (see below), whose sum is σ = 146495217935880. Its totient is φ = 141767245006080.

The previous prime is 144131212131407. The next prime is 144131212131461. The reversal of 144131212131433 is 334131212131441.

It can be written as a sum of positive squares in 4 ways, for example, as 889858282329 + 143241353849104 = 943323^2 + 11968348^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144131212131433 is a prime.

It is a super-2 number, since 2×1441312121314332 (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 (144131212171433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2107888 + ... + 17108641.

It is an arithmetic number, because the mean of its divisors is an integer number (18311902241985).

Almost surely, 2144131212131433 is an apocalyptic number.

It is an amenable number.

144131212131433 is a deficient number, since it is larger than the sum of its proper divisors (2364005804447).

144131212131433 is a wasteful number, since it uses less digits than its factorization.

144131212131433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19339547.

The product of its digits is 20736, while the sum is 34.

Adding to 144131212131433 its reverse (334131212131441), we get a palindrome (478262424262874).

The spelling of 144131212131433 in words is "one hundred forty-four trillion, one hundred thirty-one billion, two hundred twelve million, one hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 61 122957 7500377 19216529 1172208269 2362806756253 144131212131433