Search a number
-
+
144625414432331 = 7712771050529999
BaseRepresentation
bin100000111000100100111010…
…011100111110011001001011
3200222002001110210112020010002
4200320210322130332121023
5122424020322043313311
61231331555334513215
742314561410203140
oct4070447234763113
9628061423466102
10144625414432331
114209a326085598
121427945a80580b
13629116c4c5571
14279dc9bcd83c7
1511ac08b59b93b
hex83893a73e64b

144625414432331 has 16 divisors (see below), whose sum is σ = 168219267840000. Its totient is φ = 121777437368160.

The previous prime is 144625414432297. The next prime is 144625414432391. The reversal of 144625414432331 is 133234414526441.

144625414432331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144625414432331 - 214 = 144625414415947 is a prime.

It is a super-2 number, since 2×1446254144323312 (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 (144625414432391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525127331 + ... + 525402668.

It is an arithmetic number, because the mean of its divisors is an integer number (10513704240000).

Almost surely, 2144625414432331 is an apocalyptic number.

144625414432331 is a deficient number, since it is larger than the sum of its proper divisors (23593853407669).

144625414432331 is a wasteful number, since it uses less digits than its factorization.

144625414432331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050530354.

The product of its digits is 3317760, while the sum is 47.

Adding to 144625414432331 its reverse (133234414526441), we get a palindrome (277859828958772).

The spelling of 144625414432331 in words is "one hundred forty-four trillion, six hundred twenty-five billion, four hundred fourteen million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 71 277 497 1939 19667 137669 1050529999 7353709993 74587629929 290996809723 522113409503 2036977668061 20660773490333 144625414432331