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144301212431144 = 2329621987984617
BaseRepresentation
bin100000110011110110111110…
…100000011111001100101000
3200220221001122121021011010122
4200303312332200133030220
5122403212340340244034
61230523021204502412
742252263364516326
oct4063667640371450
9626831577234118
10144301212431144
1141a8488954661a
12142266600aaa08
1362697135924c2
14278c3047b6d16
1511a39142e962e
hex833dbe81f328

144301212431144 has 16 divisors (see below), whose sum is σ = 279894593078100. Its totient is φ = 69662654276992.

The previous prime is 144301212431143. The next prime is 144301212431147. The reversal of 144301212431144 is 441134212103441.

144301212431144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144207386615044 + 93825816100 = 12008638^2 + 306310^2 .

It is a super-2 number, since 2×1443012124311442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144301212431141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 310993992077 + ... + 310993992540.

Almost surely, 2144301212431144 is an apocalyptic number.

It is an amenable number.

144301212431144 is a deficient number, since it is larger than the sum of its proper divisors (135593380646956).

144301212431144 is a wasteful number, since it uses less digits than its factorization.

144301212431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621987984652 (or 621987984648 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 144301212431144 its reverse (441134212103441), we get a palindrome (585435424534585).

The spelling of 144301212431144 in words is "one hundred forty-four trillion, three hundred one billion, two hundred twelve million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 29 58 116 232 621987984617 1243975969234 2487951938468 4975903876936 18037651553893 36075303107786 72150606215572 144301212431144