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5144013140 = 2257217330341
BaseRepresentation
bin1001100101001101…
…10110100101010100
3111021111100221110012
410302212312211110
541013331410030
62210234015352
7241321250600
oct46246664524
914244327405
105144013140
1121aa730232
12bb6877558
1363c942776
1436b26c500
15201902095
hex1329b6954

5144013140 has 72 divisors (see below), whose sum is σ = 12639142152. Its totient is φ = 1753409280.

The previous prime is 5144013113. The next prime is 5144013143. The reversal of 5144013140 is 413104415.

It can be written as a sum of positive squares in 4 ways, for example, as 699390916 + 4444622224 = 26446^2 + 66668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144013143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154370 + ... + 184710.

It is an arithmetic number, because the mean of its divisors is an integer number (175543641).

Almost surely, 25144013140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319571076).

5144013140 is an abundant number, since it is smaller than the sum of its proper divisors (7495129012).

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

5144013140 is a wasteful number, since it uses less digits than its factorization.

5144013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30537 (or 30528 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5144013140 is about 71721.7759122012. The cubic root of 5144013140 is about 1726.2380682820.

Adding to 5144013140 its reverse (413104415), we get a palindrome (5557117555).

The spelling of 5144013140 in words is "five billion, one hundred forty-four million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 173 196 245 346 490 692 865 980 1211 1730 2422 3460 4844 6055 8477 12110 16954 24220 30341 33908 42385 60682 84770 121364 151705 169540 212387 303410 424774 606820 849548 1061935 1486709 2123870 2973418 4247740 5248993 5946836 7433545 10497986 14867090 20995972 26244965 29734180 36742951 52489930 73485902 104979860 146971804 183714755 257200657 367429510 514401314 734859020 1028802628 1286003285 2572006570 5144013140