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34144023130 = 257587830957
BaseRepresentation
bin11111110011001001…
…000111001001011010
310021010120000002102021
4133303021013021122
51024411332220010
623404024525054
72316056256640
oct376311071132
9107116002367
1034144023130
1113531457a38
12674a92078a
1332b1aa20a9
14191c96d190
15d4c84c8da
hex7f324725a

34144023130 has 32 divisors (see below), whose sum is σ = 70358875776. Its totient is φ = 11686565184.

The previous prime is 34144023127. The next prime is 34144023139. The reversal of 34144023130 is 3132044143.

It is a junction number, because it is equal to n+sod(n) for n = 34144023095 and 34144023104.

It is not an unprimeable number, because it can be changed into a prime (34144023139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374389 + ... + 456568.

It is an arithmetic number, because the mean of its divisors is an integer number (2198714868).

Almost surely, 234144023130 is an apocalyptic number.

34144023130 is an abundant number, since it is smaller than the sum of its proper divisors (36214852646).

34144023130 is a wasteful number, since it uses less digits than its factorization.

34144023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831558.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34144023130 its reverse (3132044143), we get a palindrome (37276067273).

The spelling of 34144023130 in words is "thirty-four billion, one hundred forty-four million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 587 1174 2935 4109 5870 8218 20545 41090 830957 1661914 4154785 5816699 8309570 11633398 29083495 58166990 487771759 975543518 2438858795 3414402313 4877717590 6828804626 17072011565 34144023130