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1340341442334 = 23489112382781
BaseRepresentation
bin10011100000010010100…
…100110101011100011110
311202010122200220001120000
4103200102210311130132
5133430004402123314
62503424440435130
7165556624165026
oct23402244653436
94663580801500
101340341442334
1147748788a984
12197925778aa6
1399516b2798b
1448c31236a86
1524cea8a5209
hex1381293571e

1340341442334 has 80 divisors (see below), whose sum is σ = 3039844444560. Its totient is φ = 441361768320.

The previous prime is 1340341442329. The next prime is 1340341442339. The reversal of 1340341442334 is 4332441430431.

1340341442334 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 3 + 414 + 4 + 233 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1340341442329) and next prime (1340341442339).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340341442339) 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 39 ways as a sum of consecutive naturals, for example, 16150024 + ... + 16232804.

It is an arithmetic number, because the mean of its divisors is an integer number (37998055557).

Almost surely, 21340341442334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340341442334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519922222280).

1340341442334 is an abundant number, since it is smaller than the sum of its proper divisors (1699503002226).

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

1340341442334 is a wasteful number, since it uses less digits than its factorization.

1340341442334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84007 (or 83998 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 1340341442334 its reverse (4332441430431), we get a palindrome (5672782872765).

The spelling of 1340341442334 in words is "one trillion, three hundred forty billion, three hundred forty-one million, four hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1123 1602 2246 2403 3369 4806 6738 7209 10107 14418 20214 30321 60642 82781 90963 99947 165562 181926 199894 248343 299841 496686 599682 745029 899523 1490058 1799046 2235087 2698569 4470174 5397138 6705261 7367509 8095707 13410522 14735018 16191414 22102527 44205054 66307581 92963063 132615162 185926126 198922743 278889189 397845486 557778378 596768229 836667567 1193536458 1673335134 2510002701 5020005402 7530008103 8273712607 15060016206 16547425214 24821137821 49642275642 74463413463 148926826926 223390240389 446780480778 670170721167 1340341442334