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2144033034 = 2311132211911
BaseRepresentation
bin111111111001011…
…0101100100001010
312112102101011101220
41333302311210022
513342333024114
6552430022510
7104062660113
oct17762654412
95472334356
102144033034
11a00283830
124ba047a36
13282267300
14164a6d20a
15c83640a9
hex7fcb590a

2144033034 has 96 divisors (see below), whose sum is σ = 5095001088. Its totient is φ = 596232000.

The previous prime is 2144033033. The next prime is 2144033053. The reversal of 2144033034 is 4303304412.

It is a junction number, because it is equal to n+sod(n) for n = 2144032995 and 2144033013.

It is not an unprimeable number, because it can be changed into a prime (2144033033) 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, 2353039 + ... + 2353949.

It is an arithmetic number, because the mean of its divisors is an integer number (53072928).

Almost surely, 22144033034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144033034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547500544).

2144033034 is an abundant number, since it is smaller than the sum of its proper divisors (2950968054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144033034 is a wasteful number, since it uses less digits than its factorization.

2144033034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2144033034 is about 46303.7043226565. The cubic root of 2144033034 is about 1289.4677679411.

Adding to 2144033034 its reverse (4303304412), we get a palindrome (6447337446).

The spelling of 2144033034 in words is "two billion, one hundred forty-four million, thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 211 286 338 422 429 507 633 858 911 1014 1266 1822 1859 2321 2733 2743 3718 4642 5466 5486 5577 6963 8229 10021 11154 11843 13926 16458 20042 23686 30063 30173 35529 35659 60126 60346 71058 71318 90519 106977 130273 153959 181038 192221 213954 260546 307918 384442 390819 392249 461877 576663 781638 784498 923754 1153326 1176747 1693549 2114431 2353494 2498873 3387098 4228862 4997746 5080647 6343293 7496619 10161294 12686586 14993238 27487603 32485349 54975206 64970698 82462809 97456047 164925618 194912094 357338839 714677678 1072016517 2144033034