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1340410422032 = 2411312113116269
BaseRepresentation
bin10011100000010110101…
…011111110001100010000
311202010211111200120220122
4103200112223332030100
5133430130032001112
62503435343125412
7165561422412023
oct23402653761420
94663744616818
101340410422032
114775128143a0
121979448a3868
13995281c9c76
1448c3a4711ba
1524d0197d872
hex13816afe310

1340410422032 has 80 divisors (see below), whose sum is σ = 2925941061120. Its totient is φ = 589339238400.

The previous prime is 1340410421981. The next prime is 1340410422061. The reversal of 1340410422032 is 2302240140431.

It is a junction number, because it is equal to n+sod(n) for n = 1340410421992 and 1340410422010.

It is an unprimeable number.

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, 11470394 + ... + 11586662.

It is an arithmetic number, because the mean of its divisors is an integer number (36574263264).

Almost surely, 21340410422032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340410422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462970530560).

1340410422032 is an abundant number, since it is smaller than the sum of its proper divisors (1585530639088).

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

1340410422032 is a wasteful number, since it uses less digits than its factorization.

1340410422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118432 (or 118426 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1340410422032 its reverse (2302240140431), we get a palindrome (3642650562463).

The spelling of 1340410422032 in words is "one trillion, three hundred forty billion, four hundred ten million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2113 2728 4226 5456 8452 16904 23243 33808 46486 65503 92972 116269 131006 185944 232538 262012 371888 465076 524024 720533 930152 1048048 1278959 1441066 1860304 2557918 2882132 3604339 5115836 5764264 7208678 10231672 11528528 14417356 20463344 28834712 39647729 57669424 79295458 158590916 245676397 317181832 491352794 634363664 982705588 1965411176 2702440367 3930822352 5404880734 7615968307 10809761468 15231936614 21619522936 30463873228 43239045872 60927746456 83775651377 121855492912 167551302754 335102605508 670205211016 1340410422032