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4340354875857 = 357111323289379
BaseRepresentation
bin111111001010010001010…
…011111000000111010001
3120100221012210102211100000
4333022101103320013101
51032103021322011412
613121533112120213
7625403016501660
oct77122123700721
916327183384300
104340354875857
1114238091a1440
125a1234096069
132563a837c1c0
14110107c28dd7
1577d8139e4dc
hex3f2914f81d1

4340354875857 has 576 divisors, whose sum is σ = 9252346521600. Its totient is φ = 1963235957760.

The previous prime is 4340354875823. The next prime is 4340354875859. The reversal of 4340354875857 is 7585784530434.

It is a happy number.

4340354875857 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 3 + 5 + 48 + 7 + 585 + 7 = 666.

4340354875857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4340354875857 - 222 = 4340350681553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4340354875794 and 4340354875803.

It is not an unprimeable number, because it can be changed into a prime (4340354875859) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11452123494 + ... + 11452123872.

It is an arithmetic number, because the mean of its divisors is an integer number (16063101600).

Almost surely, 24340354875857 is an apocalyptic number.

It is an amenable number.

4340354875857 is an abundant number, since it is smaller than the sum of its proper divisors (4911991645743).

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

4340354875857 is a wasteful number, since it uses less digits than its factorization.

4340354875857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 63.

The spelling of 4340354875857 in words is "four trillion, three hundred forty billion, three hundred fifty-four million, eight hundred seventy-five thousand, eight hundred fifty-seven".