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2144010540 = 2235719416553
BaseRepresentation
bin111111111001011…
…0000000100101100
312112102100000112210
41333302300010230
513342331314130
6552425330420
7104062534410
oct17762600454
95472300483
102144010540
11a00268941
124ba036a10
13282259cb9
14164a64d40
15c835c5b0
hex7fcb012c

2144010540 has 192 divisors, whose sum is σ = 7399203840. Its totient is φ = 452874240.

The previous prime is 2144010523. The next prime is 2144010577. The reversal of 2144010540 is 450104412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323904 + ... + 330456.

It is an arithmetic number, because the mean of its divisors is an integer number (38537520).

Almost surely, 22144010540 is an apocalyptic number.

2144010540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144010540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699601920).

2144010540 is an abundant number, since it is smaller than the sum of its proper divisors (5255193300).

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

2144010540 is a wasteful number, since it uses less digits than its factorization.

2144010540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2144010540 is about 46303.4614256861. The cubic root of 2144010540 is about 1289.4632584662.

Adding to 2144010540 its reverse (450104412), we get a palindrome (2594114952).

The spelling of 2144010540 in words is "two billion, one hundred forty-four million, ten thousand, five hundred forty".