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1140142011312 = 2431710713058251
BaseRepresentation
bin10000100101110101110…
…000100111001110110000
311000222220110100020010110
4100211311300213032300
5122140002323330222
62231435104101320
7145241532123333
oct20456560471660
94028813306113
101140142011312
113aa593495257
12164b73304840
13836903c04a5
143d27c88061a
151e9ceb8a30c
hex10975c273b0

1140142011312 has 80 divisors (see below), whose sum is σ = 3147769994112. Its totient is φ = 354348672000.

The previous prime is 1140142011221. The next prime is 1140142011317. The reversal of 1140142011312 is 2131102410411.

It is a super-2 number, since 2×11401420113122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1140142011317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6441814 + ... + 6616437.

Almost surely, 21140142011312 is an apocalyptic number.

1140142011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1140142011312 is an abundant number, since it is smaller than the sum of its proper divisors (2007627982800).

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

1140142011312 is a wasteful number, since it uses less digits than its factorization.

1140142011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058386 (or 13058380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1140142011312 its reverse (2131102410411), we get a palindrome (3271244421723).

The spelling of 1140142011312 in words is "one trillion, one hundred forty billion, one hundred forty-two million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 107 136 204 214 272 321 408 428 642 816 856 1284 1712 1819 2568 3638 5136 5457 7276 10914 14552 21828 29104 43656 87312 13058251 26116502 39174753 52233004 78349506 104466008 156699012 208932016 221990267 313398024 443980534 626796048 665970801 887961068 1331941602 1397232857 1775922136 2663883204 2794465714 3551844272 4191698571 5327766408 5588931428 8383397142 10655532816 11177862856 16766794284 22355725712 23752958569 33533588568 47505917138 67067177136 71258875707 95011834276 142517751414 190023668552 285035502828 380047337104 570071005656 1140142011312