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2142142301440 = 2851673548673
BaseRepresentation
bin11111001011000001101…
…000011000010100000000
321120210020120122220211001
4133023001220120110000
5240044101412121230
64320030411501344
7310523166063121
oct37130150302400
97523216586731
102142142301440
11756528535789
122a71b3157854
13127006c0544b
147597481a048
153aac6d200ca
hex1f2c1a18500

2142142301440 has 36 divisors (see below), whose sum is σ = 5131100234484. Its totient is φ = 856856920064.

The previous prime is 2142142301413. The next prime is 2142142301459. The reversal of 2142142301440 is 441032412412.

It can be written as a sum of positive squares in 2 ways, for example, as 1671414580224 + 470727721216 = 1292832^2 + 686096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2142142301399 and 2142142301408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 836773057 + ... + 836775616.

It is an arithmetic number, because the mean of its divisors is an integer number (142530562069).

Almost surely, 22142142301440 is an apocalyptic number.

2142142301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142142301440 is an abundant number, since it is smaller than the sum of its proper divisors (2988957933044).

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

2142142301440 is an equidigital number, since it uses as much as digits as its factorization.

2142142301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673548694 (or 1673548680 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2142142301440 its reverse (441032412412), we get a palindrome (2583174713852).

The spelling of 2142142301440 in words is "two trillion, one hundred forty-two billion, one hundred forty-two million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1673548673 3347097346 6694194692 8367743365 13388389384 16735486730 26776778768 33470973460 53553557536 66941946920 107107115072 133883893840 214214230144 267767787680 428428460288 535535575360 1071071150720 2142142301440