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5131143424 = 28114372
BaseRepresentation
bin1001100011101011…
…10000100100000000
3111020121011002112001
410301311300210000
541002033042144
62205054113344
7241103666551
oct46165604400
914217132461
105131143424
1121a3440000
12bb24ab854
1363a087954
1436967c328
1520070dbd4
hex131d70900

5131143424 has 135 divisors (see below), whose sum is σ = 11579124585. Its totient is φ = 2269301760.

The previous prime is 5131143389. The next prime is 5131143427. The reversal of 5131143424 is 4243411315.

The square root of 5131143424 is 71632.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4591417600 + 539725824 = 67760^2 + 23232^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5131143392 and 5131143401.

It is not an unprimeable number, because it can be changed into a prime (5131143427) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 138679534 + ... + 138679570.

Almost surely, 25131143424 is an apocalyptic number.

5131143424 is the 71632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131143424

5131143424 is an abundant number, since it is smaller than the sum of its proper divisors (6447981161).

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

5131143424 is an frugal number, since it uses more digits than its factorization.

5131143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 50 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The cubic root of 5131143424 is about 1724.7972511410.

Adding to 5131143424 its reverse (4243411315), we get a palindrome (9374554739).

The spelling of 5131143424 in words is "five billion, one hundred thirty-one million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 148 176 242 256 296 352 407 484 592 704 814 968 1184 1331 1369 1408 1628 1936 2368 2662 2738 2816 3256 3872 4477 4736 5324 5476 6512 7744 8954 9472 10648 10952 13024 14641 15059 15488 17908 21296 21904 26048 29282 30118 30976 35816 42592 43808 49247 52096 58564 60236 71632 85184 87616 98494 104192 117128 120472 143264 165649 170368 175232 196988 234256 240944 286528 331298 340736 350464 393976 468512 481888 541717 573056 662596 787952 937024 963776 1083434 1146112 1325192 1575904 1822139 1874048 1927552 2166868 2650384 3151808 3644278 3748096 3855104 4333736 5300768 6303616 7288556 8667472 10601536 12607232 14577112 17334944 20043529 21203072 29154224 34669888 40087058 42406144 58308448 69339776 80174116 116616896 138679552 160348232 233233792 320696464 466467584 641392928 1282785856 2565571712 5131143424