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2141531440 = 245223120041
BaseRepresentation
bin111111110100101…
…0010110100110000
312112020200001212021
41333221102310300
513341213001230
6552300241224
7104032500616
oct17751226460
95466601767
102141531440
119a99252a4
124b9240214
1328189c789
141645bb6b6
15c801cc7a
hex7fa52d30

2141531440 has 40 divisors (see below), whose sum is σ = 5001429888. Its totient is φ = 852764160.

The previous prime is 2141531417. The next prime is 2141531443. The reversal of 2141531440 is 441351412.

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

It is not an unprimeable number, because it can be changed into a prime (2141531443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42181 + ... + 77860.

Almost surely, 22141531440 is an apocalyptic number.

2141531440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141531440 is an abundant number, since it is smaller than the sum of its proper divisors (2859898448).

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

2141531440 is a wasteful number, since it uses less digits than its factorization.

2141531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120277 (or 120271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2141531440 is about 46276.6835458204. The cubic root of 2141531440 is about 1288.9660685496.

Adding to 2141531440 its reverse (441351412), we get a palindrome (2582882852).

The spelling of 2141531440 in words is "two billion, one hundred forty-one million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 892 1115 1784 2230 3568 4460 8920 17840 120041 240082 480164 600205 960328 1200410 1920656 2400820 4801640 9603280 26769143 53538286 107076572 133845715 214153144 267691430 428306288 535382860 1070765720 2141531440