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5144065024 = 21074715269
BaseRepresentation
bin1001100101001110…
…00011010000000000
3111021111110120121211
410302213003100000
541013340040044
62210235055504
7241321555060
oct46247032000
914244416554
105144065024
1121aa76620a
12bb68a1594
1363c960277
1436b2833a0
15201912634
hex1329c3400

5144065024 has 88 divisors (see below), whose sum is σ = 12002952960. Its totient is φ = 2157551616.

The previous prime is 5144065009. The next prime is 5144065039. The reversal of 5144065024 is 4205604415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5144065009) and next prime (5144065039).

It is a super-2 number, since 2×51440650242 = 52922809942280241152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329262 + ... + 344530.

Almost surely, 25144065024 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 5144065024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001476480).

5144065024 is an abundant number, since it is smaller than the sum of its proper divisors (6858887936).

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

5144065024 is a wasteful number, since it uses less digits than its factorization.

5144065024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 5144065024 is about 71722.1376145469. The cubic root of 5144065024 is about 1726.2438720408.

Adding to 5144065024 its reverse (4205604415), we get a palindrome (9349669439).

The spelling of 5144065024 in words is "five billion, one hundred forty-four million, sixty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 512 658 752 896 1024 1316 1504 1792 2632 3008 3584 5264 6016 7168 10528 12032 15269 21056 24064 30538 42112 48128 61076 84224 106883 122152 168448 213766 244304 336896 427532 488608 717643 855064 977216 1435286 1710128 1954432 2870572 3420256 3908864 5023501 5741144 6840512 7817728 10047002 11482288 13681024 15635456 20094004 22964576 27362048 40188008 45929152 54724096 80376016 91858304 109448192 160752032 183716608 321504064 367433216 643008128 734866432 1286016256 2572032512 5144065024