Search a number
-
+
313110324242424 = 233247778911879149
BaseRepresentation
bin100011100110001011010110…
…1101001101110011111111000
31112001122001110211222022111100
41013030112231221232133320
5312014444421001224144
63025532521444131400
7122644321503030222
oct10714265551563770
91461561424868440
10313110324242424
11908483852a1475
122b14aa66096b60
131059323b7c5347
145746898b25412
15262eab87da269
hex11cc5ada6e7f8

313110324242424 has 96 divisors (see below), whose sum is σ = 866161094760000. Its totient is φ = 102136344304896.

The previous prime is 313110324242389. The next prime is 313110324242477. The reversal of 313110324242424 is 424242423011313.

313110324242424 is a `hidden beast` number, since 3 + 13 + 110 + 32 + 42 + 42 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20418402 + ... + 32297550.

It is an arithmetic number, because the mean of its divisors is an integer number (9022511403750).

Almost surely, 2313110324242424 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 313110324242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433080547380000).

313110324242424 is an abundant number, since it is smaller than the sum of its proper divisors (553050770517576).

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

313110324242424 is a wasteful number, since it uses less digits than its factorization.

313110324242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11886997 (or 11886990 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 313110324242424 its reverse (424242423011313), we get a palindrome (737352747253737).

The spelling of 313110324242424 in words is "three hundred thirteen trillion, one hundred ten billion, three hundred twenty-four million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 7789 15578 23367 31156 46734 62312 70101 93468 140202 186936 280404 366083 560808 732166 1098249 1464332 2196498 2928664 3294747 4392996 6589494 8785992 11879149 13178988 23758298 26357976 35637447 47516596 71274894 95033192 106912341 142549788 213824682 285099576 427649364 558320003 855298728 1116640006 1674960009 2233280012 3349920018 4466560024 5024880027 6699840036 10049760054 13399680072 20099520108 40199040216 92526691561 185053383122 277580074683 370106766244 555160149366 740213532488 832740224049 1110320298732 1665480448098 2220640597464 3330960896196 4348754503367 6661921792392 8697509006734 13046263510101 17395018013468 26092527020202 34790036026936 39138790530303 52185054040404 78277581060606 104370108080808 156555162121212 313110324242424