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1034054224353 = 32377342537917
BaseRepresentation
bin11110000110000100110…
…11110100100111100001
310122212002000110021010200
433003002123310213201
5113420220340134403
62111012110415413
7134464553611653
oct17030233644741
93585060407120
101034054224353
113695a3719767
121484a6801569
1376684589457
14380970bc6d3
151bd71276ca3
hexf0c26f49e1

1034054224353 has 24 divisors (see below), whose sum is σ = 1555016130408. Its totient is φ = 661549669632.

The previous prime is 1034054224349. The next prime is 1034054224367. The reversal of 1034054224353 is 3534224504301.

1034054224353 is a `hidden beast` number, since 1 + 0 + 3 + 40 + 542 + 24 + 3 + 53 = 666.

1034054224353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 508323369024 + 525730855329 = 712968^2 + 725073^2 .

It is not a de Polignac number, because 1034054224353 - 22 = 1034054224349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1034054224253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21244650 + ... + 21293267.

It is an arithmetic number, because the mean of its divisors is an integer number (64792338767).

Almost surely, 21034054224353 is an apocalyptic number.

It is an amenable number.

1034054224353 is a deficient number, since it is larger than the sum of its proper divisors (520961906055).

1034054224353 is a wasteful number, since it uses less digits than its factorization.

1034054224353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42538033 (or 42538030 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 1034054224353 its reverse (3534224504301), we get a palindrome (4568278728654).

The spelling of 1034054224353 in words is "one trillion, thirty-four billion, fifty-four million, two hundred twenty-four thousand, three hundred fifty-three".

Divisors: 1 3 9 37 73 111 219 333 657 2701 8103 24309 42537917 127613751 382841253 1573902929 3105267941 4721708787 9315803823 14165126361 27947411469 114894913817 344684741451 1034054224353