Search a number
-
+
1314202424124 = 22311319131716007
BaseRepresentation
bin10011000111111100100…
…100011001001100111100
311122122012000201100111110
4103013330210121030330
5133012441310032444
62443423010522020
7163643106201612
oct23077444311474
94578160640443
101314202424124
11467394009697
1219284b896310
1396c0c62bab5
14478718b56b2
15242babe0cb9
hex131fc91933c

1314202424124 has 96 divisors (see below), whose sum is σ = 3119811158016. Its totient is φ = 430528107520.

The previous prime is 1314202424111. The next prime is 1314202424147. The reversal of 1314202424124 is 4214242024131.

It is a junction number, because it is equal to n+sod(n) for n = 1314202424091 and 1314202424100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82093729 + ... + 82109735.

It is an arithmetic number, because the mean of its divisors is an integer number (32498032896).

Almost surely, 21314202424124 is an apocalyptic number.

It is an amenable number.

1314202424124 is an abundant number, since it is smaller than the sum of its proper divisors (1805608733892).

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

1314202424124 is a wasteful number, since it uses less digits than its factorization.

1314202424124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16635 (or 16633 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1314202424124 its reverse (4214242024131), we get a palindrome (5528444448255).

The spelling of 1314202424124 in words is "one trillion, three hundred fourteen billion, two hundred two million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 113 191 226 317 339 382 452 573 634 678 764 951 1146 1268 1356 1902 2292 3804 16007 21583 32014 35821 43166 48021 60547 64028 64749 71642 86332 96042 107463 121094 129498 143284 181641 192084 214926 242188 258996 363282 429852 726564 1808791 3057337 3617582 5074219 5426373 6114674 6841811 7235164 9172011 10148438 10852746 12229348 13683622 15222657 18344022 20296876 20525433 21705492 27367244 30445314 36688044 41050866 60890628 82101732 345479081 573386747 690958162 969175829 1036437243 1146773494 1381916324 1720160241 1938351658 2072874486 2293546988 2907527487 3440320482 3876703316 4145748972 5815054974 6880640964 11630109948 109516868677 219033737354 328550606031 438067474708 657101212062 1314202424124