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2140144420 = 2251912134643
BaseRepresentation
bin111111110010000…
…0000001100100100
312112011001121020011
41333210000030210
513340334110140
6552210420004
7104014633051
oct17744001444
95464047204
102140144420
119a90681a7
124b8891604
1328150535b
1416433a028
15c7d46cea
hex7f900324

2140144420 has 48 divisors (see below), whose sum is σ = 4735765440. Its totient is φ = 810158976.

The previous prime is 2140144393. The next prime is 2140144429. The reversal of 2140144420 is 244410412.

It is a junction number, because it is equal to n+sod(n) for n = 2140144391 and 2140144400.

It is not an unprimeable number, because it can be changed into a prime (2140144429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458619 + ... + 463261.

It is an arithmetic number, because the mean of its divisors is an integer number (98661780).

Almost surely, 22140144420 is an apocalyptic number.

2140144420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140144420 is an abundant number, since it is smaller than the sum of its proper divisors (2595621020).

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

2140144420 is a wasteful number, since it uses less digits than its factorization.

2140144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2140144420 is about 46261.6949538168. The cubic root of 2140144420 is about 1288.6877306899.

Adding to 2140144420 its reverse (244410412), we get a palindrome (2384554832).

The spelling of 2140144420 in words is "two billion, one hundred forty million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 1213 2426 4643 4852 6065 9286 12130 18572 23047 23215 24260 46094 46430 88217 92188 92860 115235 176434 230470 352868 441085 460940 882170 1764340 5631959 11263918 22527836 28159795 56319590 107007221 112639180 214014442 428028884 535036105 1070072210 2140144420