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5300426144 = 251310321201
BaseRepresentation
bin1001110111110111…
…00001010110100000
3111200101200112202102
410323323201112200
541323402114034
62233542305532
7245230610306
oct47373412640
914611615672
105300426144
11227aa52682
12103b1282a8
13666178640
14383d46276
152104eb97e
hex13bee15a0

5300426144 has 72 divisors (see below), whose sum is σ = 11357536932. Its totient is φ = 2420582400.

The previous prime is 5300426113. The next prime is 5300426147. The reversal of 5300426144 is 4416240035.

It can be written as a sum of positive squares in 2 ways, for example, as 3768486544 + 1531939600 = 61388^2 + 39140^2 .

It is not an unprimeable number, because it can be changed into a prime (5300426147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4412744 + ... + 4413944.

Almost surely, 25300426144 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 5300426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678768466).

5300426144 is an abundant number, since it is smaller than the sum of its proper divisors (6057110788).

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

5300426144 is a wasteful number, since it uses less digits than its factorization.

5300426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 5300426144 is about 72804.0256029843. The cubic root of 5300426144 is about 1743.5601288037.

Adding to 5300426144 its reverse (4416240035), we get a palindrome (9716666179).

The spelling of 5300426144 in words is "five billion, three hundred million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 206 208 412 416 824 1201 1339 1648 2402 2678 3296 4804 5356 9608 10609 10712 15613 19216 21218 21424 31226 38432 42436 42848 62452 84872 123703 124904 137917 169744 247406 249808 275834 339488 494812 499616 551668 989624 1103336 1608139 1979248 2206672 3216278 3958496 4413344 6432556 12741409 12865112 25482818 25730224 50965636 51460448 101931272 165638317 203862544 331276634 407725088 662553268 1325106536 2650213072 5300426144