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144402320133234 = 23237921167153347
BaseRepresentation
bin100000110101010101001000…
…111111110000110001110010
3200221021201121222020120222200
4200311111020333300301302
5122411341422423230414
61231041302101444030
742262503052020102
oct4065251077606162
9627251558216880
10144402320133234
1142013753177699
1214242178a10616
13627610771b567
1427931769bd202
1511a63808dc109
hex835548ff0c72

144402320133234 has 24 divisors (see below), whose sum is σ = 313697212617360. Its totient is φ = 48007103788728.

The previous prime is 144402320133233. The next prime is 144402320133349. The reversal of 144402320133234 is 432331023204441.

144402320133234 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 0 + 2 + 320 + 1 + 3 + 323 + 4 = 666.

It is a super-2 number, since 2×1444023201332342 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144402320133233) 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 11 ways as a sum of consecutive naturals, for example, 10583569852 + ... + 10583583495.

It is an arithmetic number, because the mean of its divisors is an integer number (13070717192390).

Almost surely, 2144402320133234 is an apocalyptic number.

144402320133234 is an abundant number, since it is smaller than the sum of its proper divisors (169294892484126).

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

144402320133234 is a wasteful number, since it uses less digits than its factorization.

144402320133234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21167153734 (or 21167153731 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 144402320133234 its reverse (432331023204441), we get a palindrome (576733343337675).

The spelling of 144402320133234 in words is "one hundred forty-four trillion, four hundred two billion, three hundred twenty million, one hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 379 758 1137 2274 3411 6822 21167153347 42334306694 63501460041 127002920082 190504380123 381008760246 8022351118513 16044702237026 24067053355539 48134106711078 72201160066617 144402320133234