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1714340255040 = 26335799128603
BaseRepresentation
bin11000111100100110101…
…001000101010101000000
320001220000022122020222000
4120330212221011111000
5211041432101130130
63351320153144000
7234566643510210
oct30744651052500
96056008566860
101714340255040
11601058421436
122383010bb000
13c587a69809a
145cd900b6240
152e8d9763260
hex18f26a45540

1714340255040 has 448 divisors, whose sum is σ = 6919000965120. Its totient is φ = 391440107520.

The previous prime is 1714340255029. The next prime is 1714340255041. The reversal of 1714340255040 is 405520434171.

1714340255040 is a `hidden beast` number, since 1 + 7 + 143 + 4 + 0 + 2 + 5 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×17143402550402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1714340254986 and 1714340255004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1714340255041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59921379 + ... + 59949981.

Almost surely, 21714340255040 is an apocalyptic number.

1714340255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1714340255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459500482560).

1714340255040 is an abundant number, since it is smaller than the sum of its proper divisors (5204660710080).

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

1714340255040 is a wasteful number, since it uses less digits than its factorization.

1714340255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627 (or 29611 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 1714340255040 in words is "one trillion, seven hundred fourteen billion, three hundred forty million, two hundred fifty-five thousand, forty".