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1340414214525 = 325246112922769
BaseRepresentation
bin10011100000010110111…
…010011100000101111101
311202010211202211021020100
4103200112322130011331
5133430132014331100
62503440000311313
7165561466555611
oct23402672340575
94663752737210
101340414214525
11477514974791
12197946012539
1399528c27249
1448c3ab7b341
1524d01e7c400
hex13816e9c17d

1340414214525 has 36 divisors (see below), whose sum is σ = 2406038855220. Its totient is φ = 713336793600.

The previous prime is 1340414214523. The next prime is 1340414214533. The reversal of 1340414214525 is 5254124140431.

1340414214525 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 414 + 214 + 5 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 437479062084 + 902935152441 = 661422^2 + 950229^2 .

It is not a de Polignac number, because 1340414214525 - 21 = 1340414214523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1340414214525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340414214521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6357660 + ... + 6565109.

It is an arithmetic number, because the mean of its divisors is an integer number (66834412645).

Almost surely, 21340414214525 is an apocalyptic number.

1340414214525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1340414214525 is a deficient number, since it is larger than the sum of its proper divisors (1065624640695).

1340414214525 is a wasteful number, since it uses less digits than its factorization.

1340414214525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923246 (or 12923238 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1340414214525 its reverse (5254124140431), we get a palindrome (6594538354956).

The spelling of 1340414214525 in words is "one trillion, three hundred forty billion, four hundred fourteen million, two hundred fourteen thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 461 1383 2305 4149 6915 11525 20745 34575 103725 12922769 38768307 64613845 116304921 193841535 323069225 581524605 969207675 2907623025 5957396509 17872189527 29786982545 53616568581 89360947635 148934912725 268082842905 446804738175 1340414214525