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1057434124323 = 34177311121637
BaseRepresentation
bin11110110001100111111…
…11000100000000100011
310202002102101212020111210
433120303333010000203
5114311111113434243
62125440055041203
7136253126516433
oct17306377040043
93662371766453
101057434124323
11378500aa5645
12150b30670203
137893c2700a5
143927421c2c3
151c78dac9933
hexf633fc4023

1057434124323 has 16 divisors (see below), whose sum is σ = 1446168832416. Its totient is φ = 686872239360.

The previous prime is 1057434124301. The next prime is 1057434124333. The reversal of 1057434124323 is 3234214347501.

1057434124323 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 1057434124323 - 220 = 1057433075747 is a prime.

It is a super-2 number, since 2×10574341243232 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057434124333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5465740 + ... + 5655897.

It is an arithmetic number, because the mean of its divisors is an integer number (90385552026).

Almost surely, 21057434124323 is an apocalyptic number.

1057434124323 is a deficient number, since it is larger than the sum of its proper divisors (388734708093).

1057434124323 is a wasteful number, since it uses less digits than its factorization.

1057434124323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122454.

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 1057434124323 in words is "one trillion, fifty-seven billion, four hundred thirty-four million, one hundred twenty-four thousand, three hundred twenty-three".

Divisors: 1 3 41 123 773 2319 31693 95079 11121637 33364911 455987117 1367961351 8597025401 25791076203 352478041441 1057434124323