Search a number
-
+
2413364633142 = 2319375691005551
BaseRepresentation
bin100011000111100111101…
…111011101111000110110
322112201022112022221001120
4203013213233131320312
5304020032321230032
65044403455404410
7336234265625061
oct43074757357066
98481275287046
102413364633142
11850558467941
1232b886b23706
1314676b981c58
1484b439b78d8
1542b9cd5262c
hex231e7bdde36

2413364633142 has 64 divisors (see below), whose sum is σ = 5227261516800. Its totient is φ = 740213510400.

The previous prime is 2413364633131. The next prime is 2413364633149.

2413364633142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2413364633094 and 2413364633103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413364633149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897267 + ... + 2902817.

It is an arithmetic number, because the mean of its divisors is an integer number (81675961200).

Almost surely, 22413364633142 is an apocalyptic number.

2413364633142 is an abundant number, since it is smaller than the sum of its proper divisors (2813896883658).

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

2413364633142 is a wasteful number, since it uses less digits than its factorization.

2413364633142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006181.

The product of its digits is 746496, while the sum is 42.

The spelling of 2413364633142 in words is "two trillion, four hundred thirteen billion, three hundred sixty-four million, six hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 569 703 1138 1406 1707 2109 3414 4218 10811 21053 21622 32433 42106 63159 64866 126318 400007 800014 1005551 1200021 2011102 2400042 3016653 6033306 19105469 37205387 38210938 57316407 74410774 111616161 114632814 223232322 572158519 706902353 1144317038 1413804706 1716475557 2120707059 3432951114 4241414118 10871011861 21169865203 21742023722 32613035583 42339730406 63509595609 65226071166 127019191218 402227438857 804454877714 1206682316571 2413364633142