Search a number
-
+
1304223443224 = 2313176115597757
BaseRepresentation
bin10010111110101001110…
…001100110100100011000
311121200102120111121011021
4102332221301212210120
5132332022200140344
62435052454412224
7163140605232052
oct22765161464430
94550376447137
101304223443224
11463133150639
12190925961074
1395cac0c0880
14471a64648d2
1523dd4ad5b84
hex12fa9c66918

1304223443224 has 128 divisors (see below), whose sum is σ = 2836337212800. Its totient is φ = 556823715840.

The previous prime is 1304223443161. The next prime is 1304223443233. The reversal of 1304223443224 is 4223443224031.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1304223443224.

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, 168131154 + ... + 168138910.

It is an arithmetic number, because the mean of its divisors is an integer number (22158884475).

Almost surely, 21304223443224 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 1304223443224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418168606400).

1304223443224 is an abundant number, since it is smaller than the sum of its proper divisors (1532113769576).

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

1304223443224 is a wasteful number, since it uses less digits than its factorization.

1304223443224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 1304223443224 its reverse (4223443224031), we get a palindrome (5527666667255).

The spelling of 1304223443224 in words is "one trillion, three hundred four billion, two hundred twenty-three million, four hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 61 68 104 122 136 221 244 442 488 793 884 1037 1559 1586 1768 2074 3118 3172 4148 6236 6344 7757 8296 12472 13481 15514 20267 26503 26962 31028 40534 53006 53924 62056 81068 95099 100841 106012 107848 131869 162136 190198 201682 212024 263738 344539 380396 403364 473177 527476 689078 760792 806728 946354 1054952 1236287 1378156 1616683 1714297 1892708 2472574 2756312 3233366 3428594 3785416 4945148 6151301 6466732 6857188 8044009 9890296 12093163 12302602 12933464 13714376 16088018 21016879 24186326 24605204 32176036 42033758 48372652 49210408 64352072 84067516 96745304 104572117 157211119 168135032 205583771 209144234 314422238 411167542 418288468 628844476 737682943 822335084 836576936 1257688952 1475365886 1644670168 2672589023 2950731772 5345178046 5901463544 9589878259 10690356092 12540610031 19179756518 21380712184 25081220062 38359513036 50162440124 76719026072 100324880248 163027930403 326055860806 652111721612 1304223443224