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144023313434020 = 22570573102038537
BaseRepresentation
bin100000101111110100001010…
…011011111100010110100100
3200212221111100100021101202121
4200233310022123330112210
5122334134221214342040
61230151221412515324
742223224653152456
oct4057641233742644
9625844310241677
10144023313434020
1141987a42831959
12141a082431bb44
1362494564ba9b7
14277caa09c82d6
15119b59c06ac4a
hex82fd0a6fc5a4

144023313434020 has 24 divisors (see below), whose sum is σ = 302453246794104. Its totient is φ = 57608508500736.

The previous prime is 144023313433843. The next prime is 144023313434027. The reversal of 144023313434020 is 20434313320441.

144023313434020 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 4 ways, for example, as 13267427432704 + 130755886001316 = 3642448^2 + 11434854^2 .

It is not an unprimeable number, because it can be changed into a prime (144023313434027) 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, 49607809 + ... + 52430728.

It is an arithmetic number, because the mean of its divisors is an integer number (12602218616421).

Almost surely, 2144023313434020 is an apocalyptic number.

144023313434020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144023313434020 is an abundant number, since it is smaller than the sum of its proper divisors (158429933360084).

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

144023313434020 is a wasteful number, since it uses less digits than its factorization.

144023313434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102109119 (or 102109117 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 144023313434020 its reverse (20434313320441), we get a palindrome (164457626754461).

The spelling of 144023313434020 in words is "one hundred forty-four trillion, twenty-three billion, three hundred thirteen million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 70573 141146 282292 352865 705730 1411460 102038537 204077074 408154148 510192685 1020385370 2040770740 7201165671701 14402331343402 28804662686804 36005828358505 72011656717010 144023313434020