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144402020325333 = 3289344321523573
BaseRepresentation
bin100000110101010100110111…
…001000000101011111010101
3200221021200212002002202212100
4200311110313020011133111
5122411340314200402313
61231041212231512313
742262462451500431
oct4065246710053725
9627250762082770
10144402020325333
1142013609a14571
12142420b4528699
13627608a58a034
142793148c599c1
1511a636441a173
hex8355372057d5

144402020325333 has 24 divisors (see below), whose sum is σ = 210925314788760. Its totient is φ = 95185892229120.

The previous prime is 144402020325307. The next prime is 144402020325421. The reversal of 144402020325333 is 333523020204441.

144402020325333 is a `hidden beast` number, since 1 + 4 + 440 + 2 + 0 + 203 + 2 + 5 + 3 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13461098709969 + 130940921615364 = 3668937^2 + 11442942^2 .

It is not a de Polignac number, because 144402020325333 - 217 = 144402020194261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144402020321333) 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 23 ways as a sum of consecutive naturals, for example, 275539335 + ... + 276062907.

It is an arithmetic number, because the mean of its divisors is an integer number (8788554782865).

Almost surely, 2144402020325333 is an apocalyptic number.

It is an amenable number.

144402020325333 is a deficient number, since it is larger than the sum of its proper divisors (66523294463427).

144402020325333 is a wasteful number, since it uses less digits than its factorization.

144402020325333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867989 (or 867986 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 144402020325333 its reverse (333523020204441), we get a palindrome (477925040529774).

The spelling of 144402020325333 in words is "one hundred forty-four trillion, four hundred two billion, twenty million, three hundred twenty-five thousand, three hundred thirty-three".

Divisors: 1 3 9 89 267 801 344321 523573 1032963 1570719 3098889 4712157 30644569 46597997 91933707 139793991 275801121 419381973 180277178933 540831536799 1622494610397 16044668925037 48134006775111 144402020325333