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34015405145 = 5172975718229
BaseRepresentation
bin11111101011011110…
…011110010001011001
310020210120222121201012
4133223132132101121
51024130420431040
623343152103305
72312635113251
oct375336362131
9106716877635
1034015405145
111347589a387
126713834b35
13329124b687
14190984c961
15d413e3865
hex7eb79e459

34015405145 has 32 divisors (see below), whose sum is σ = 44771421600. Its totient is φ = 24694419456.

The previous prime is 34015405093. The next prime is 34015405163. The reversal of 34015405145 is 54150451043.

It can be written as a sum of positive squares in 16 ways, for example, as 603586624 + 33411818521 = 24568^2 + 182789^2 .

It is a cyclic number.

It is not a de Polignac number, because 34015405145 - 222 = 34011210841 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856891 + ... + 1875119.

It is an arithmetic number, because the mean of its divisors is an integer number (1399106925).

Almost surely, 234015405145 is an apocalyptic number.

It is an amenable number.

34015405145 is a deficient number, since it is larger than the sum of its proper divisors (10756016455).

34015405145 is a wasteful number, since it uses less digits than its factorization.

34015405145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19037.

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 34015405145 its reverse (54150451043), we get a palindrome (88165856188).

The spelling of 34015405145 in words is "thirty-four billion, fifteen million, four hundred five thousand, one hundred forty-five".

Divisors: 1 5 17 29 85 145 493 757 2465 3785 12869 18229 21953 64345 91145 109765 309893 373201 528641 1549465 1866005 2643205 8986897 13799353 44934485 68996765 234589001 400181237 1172945005 2000906185 6803081029 34015405145