Search a number
-
+
5142313242 = 23311163173307
BaseRepresentation
bin1001100101000000…
…10111100100011010
3111021101011120122000
410302200113210122
541012413010432
62210133341430
7241300640613
oct46240274432
914241146560
105142313242
1121a977a060
12bb6197876
1363c498b01
1436ad48c0a
152016b857c
hex13281791a

5142313242 has 128 divisors (see below), whose sum is σ = 12656286720. Its totient is φ = 1534749120.

The previous prime is 5142313229. The next prime is 5142313247. The reversal of 5142313242 is 2423132415.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5142313247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16750053 + ... + 16750359.

It is an arithmetic number, because the mean of its divisors is an integer number (98877240).

Almost surely, 25142313242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142313242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328143360).

5142313242 is an abundant number, since it is smaller than the sum of its proper divisors (7513973478).

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

5142313242 is a wasteful number, since it uses less digits than its factorization.

5142313242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5142313242 is about 71709.9242922484. The cubic root of 5142313242 is about 1726.0478956251.

Adding to 5142313242 its reverse (2423132415), we get a palindrome (7565445657).

The spelling of 5142313242 in words is "five billion, one hundred forty-two million, three hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 173 198 297 307 326 346 489 519 594 614 921 978 1038 1467 1557 1793 1842 1903 2763 2934 3114 3377 3586 3806 4401 4671 5379 5526 5709 6754 8289 8802 9342 10131 10758 11418 16137 16578 17127 20262 28199 30393 32274 34254 48411 50041 51381 53111 56398 60786 84597 91179 96822 100082 102762 106222 150123 159333 169194 182358 253791 300246 310189 318666 450369 477999 507582 550451 584221 620378 761373 900738 930567 955998 1100902 1168442 1351107 1433997 1522746 1651353 1752663 1861134 2702214 2791701 2867994 3302706 3505326 4954059 5257989 5583402 8375103 8657093 9908118 10515978 14862177 15773967 16750206 17314186 25971279 29724354 31547934 51942558 77913837 95228023 155827674 190456046 233741511 285684069 467483022 571368138 857052207 1714104414 2571156621 5142313242