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4144140120 = 233534534501
BaseRepresentation
bin1111011100000010…
…1000111101011000
3101200210221010112010
43313000220331120
531441344440440
61523115145520
7204460416111
oct36700507530
911623833463
104144140120
11183729389a
12977a452a0
1351074b323
142b4555208
15193c48580
hexf7028f58

4144140120 has 32 divisors (see below), whose sum is σ = 12432420720. Its totient is φ = 1105104000.

The previous prime is 4144140113. The next prime is 4144140127. The reversal of 4144140120 is 210414414.

4144140120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4144140113) and next prime (4144140127).

It is a super-2 number, since 2×41441401202 = 34347794668387228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144140127) 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, 17267131 + ... + 17267370.

Almost surely, 24144140120 is an apocalyptic number.

4144140120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144140120 is an abundant number, since it is smaller than the sum of its proper divisors (8288280600).

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

4144140120 is a wasteful number, since it uses less digits than its factorization.

4144140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34534515 (or 34534511 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4144140120 is about 64374.9960776698. The cubic root of 4144140120 is about 1606.2438470798.

Adding to 4144140120 its reverse (210414414), we get a palindrome (4354554534).

The spelling of 4144140120 in words is "four billion, one hundred forty-four million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34534501 69069002 103603503 138138004 172672505 207207006 276276008 345345010 414414012 518017515 690690020 828828024 1036035030 1381380040 2072070060 4144140120