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34024256145 = 36511848591
BaseRepresentation
bin11111101100000000…
…001111001010010001
310020211012122022000000
4133230000033022101
51024140202144040
623344105520213
72313103256025
oct375400171221
9106735568000
1034024256145
111347a895260
1267167a3069
13329302a259
14190aab4385
15d42091130
hex7ec00f291

34024256145 has 56 divisors (see below), whose sum is σ = 66780796032. Its totient is φ = 16496589600.

The previous prime is 34024256143. The next prime is 34024256207. The reversal of 34024256145 is 54165242043.

34024256145 is a `hidden beast` number, since 34 + 0 + 2 + 4 + 2 + 5 + 614 + 5 = 666.

34024256145 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34024256145 - 21 = 34024256143 is a prime.

It is a super-2 number, since 2×340242561452 (a number of 22 digits) contains 22 as substring.

34024256145 is strictly pandigital in base 11.

It is not an unprimeable number, because it can be changed into a prime (34024256143) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 384201 + ... + 464390.

Almost surely, 234024256145 is an apocalyptic number.

It is an amenable number.

34024256145 is a deficient number, since it is larger than the sum of its proper divisors (32756539887).

34024256145 is an equidigital number, since it uses as much as digits as its factorization.

34024256145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848625 (or 848610 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 34024256145 its reverse (54165242043), we get a palindrome (88189498188).

The spelling of 34024256145 in words is "thirty-four billion, twenty-four million, two hundred fifty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 729 891 1215 1485 2673 3645 4455 8019 13365 40095 848591 2545773 4242955 7637319 9334501 12728865 22911957 28003503 38186595 46672505 68735871 84010509 114559785 140017515 206207613 252031527 343679355 420052545 618622839 756094581 1031038065 1260157635 2268283743 3093114195 3780472905 6804851229 11341418715 34024256145