Search a number
-
+
2140131440 = 245122921767
BaseRepresentation
bin111111110001111…
…1101000001110000
312112011000221102102
41333203331001300
513340333201230
6552210235532
7104014550156
oct17743750160
95464027372
102140131440
119a9059477
124b8885ba8
132814cc485
141643353d6
15c7d43045
hex7f8fd070

2140131440 has 40 divisors (see below), whose sum is σ = 4980083040. Its totient is φ = 855316736.

The previous prime is 2140131401. The next prime is 2140131449. The reversal of 2140131440 is 441310412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140131449) 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, 87437 + ... + 109203.

It is an arithmetic number, because the mean of its divisors is an integer number (124502076).

Almost surely, 22140131440 is an apocalyptic number.

2140131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140131440 is an abundant number, since it is smaller than the sum of its proper divisors (2839951600).

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

2140131440 is a wasteful number, since it uses less digits than its factorization.

2140131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23009 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2140131440 is about 46261.5546647538. The cubic root of 2140131440 is about 1288.6851253828.

Adding to 2140131440 its reverse (441310412), we get a palindrome (2581441852).

The spelling of 2140131440 in words is "two billion, one hundred forty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1229 2458 4916 6145 9832 12290 19664 21767 24580 43534 49160 87068 98320 108835 174136 217670 348272 435340 870680 1741360 26751643 53503286 107006572 133758215 214013144 267516430 428026288 535032860 1070065720 2140131440