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1340238102714 = 232759197991099
BaseRepresentation
bin10011100000001100011…
…010101000000010111010
311202010101111102212020200
4103200030122220002322
5133424301423241324
62503410305503030
7165554230623240
oct23401432500272
94663344385220
101340238102714
11477434518335
121978b7041a76
13994cb5b5084
1448c21616790
1524ce1790ec9
hex1380c6a80ba

1340238102714 has 96 divisors (see below), whose sum is σ = 3376676160000. Its totient is φ = 376240570272.

The previous prime is 1340238102713. The next prime is 1340238102829. The reversal of 1340238102714 is 4172018320431.

1340238102714 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 2 + 381 + 0 + 271 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1340238102713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14666337 + ... + 14757435.

It is an arithmetic number, because the mean of its divisors is an integer number (35173710000).

Almost surely, 21340238102714 is an apocalyptic number.

1340238102714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340238102714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688338080000).

1340238102714 is an abundant number, since it is smaller than the sum of its proper divisors (2036438057286).

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

1340238102714 is a wasteful number, since it uses less digits than its factorization.

1340238102714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93152 (or 93149 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1340238102714 in words is "one trillion, three hundred forty billion, two hundred thirty-eight million, one hundred two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 1979 2478 3717 3958 5937 7434 11874 13853 17811 27706 35622 41559 83118 91099 116761 124677 182198 233522 249354 273297 350283 546594 637693 700566 817327 819891 1050849 1275386 1634654 1639782 1913079 2101698 2451981 3826158 4903962 5374841 5739237 7355943 10749682 11478474 14711886 16124523 32249046 37623887 48373569 75247774 96747138 112871661 180284921 225743322 338614983 360569842 540854763 677229966 1081709526 1261994447 1622564289 2523988894 3245128578 3785983341 7571966682 10636810339 11357950023 21273620678 22715900046 31910431017 63820862034 74457672373 95731293051 148915344746 191462586102 223373017119 446746034238 670119051357 1340238102714