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34514240463 = 3217418276653
BaseRepresentation
bin100000001001001101…
…011000001111001111
310022002100122002010100
4200021031120033033
51031141121143323
623504451542143
72331203126523
oct401115301717
9108070562110
1034514240463
111370143077a
1268328ba953
1333406b65c1
141955bbdd83
15d700cb943
hex8093583cf

34514240463 has 48 divisors (see below), whose sum is σ = 54147483936. Its totient is φ = 21099079680.

The previous prime is 34514240443. The next prime is 34514240477. The reversal of 34514240463 is 36404241543.

34514240463 is a `hidden beast` number, since 345 + 14 + 240 + 4 + 63 = 666.

It is not a de Polignac number, because 34514240463 - 29 = 34514239951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34514240413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5184445 + ... + 5191097.

It is an arithmetic number, because the mean of its divisors is an integer number (1128072582).

Almost surely, 234514240463 is an apocalyptic number.

34514240463 is a deficient number, since it is larger than the sum of its proper divisors (19633243473).

34514240463 is a wasteful number, since it uses less digits than its factorization.

34514240463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34514240463 in words is "thirty-four billion, five hundred fourteen million, two hundred forty thousand, four hundred sixty-three".

Divisors: 1 3 9 17 41 51 123 153 369 697 827 2091 2481 6273 6653 7443 14059 19959 33907 42177 59877 101721 113101 126531 272773 305163 339303 576419 818319 1017909 1729257 2454957 4637141 5187771 5502031 13911423 16506093 41734269 49518279 93534527 225583271 280603581 676749813 841810743 2030249439 3834915607 11504746821 34514240463