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1330404321204 = 2232722926006809
BaseRepresentation
bin10011010111000010010…
…001101110011110110100
311201012000011110000000200
4103113002101232132310
5133244132001234304
62455102421440500
7165055442100300
oct23270221563664
94635004400020
101330404321204
11473248612782
12195a11870130
13985c218494a
144856b5a0d00
15249182b7e39
hex135c246e7b4

1330404321204 has 108 divisors (see below), whose sum is σ = 4046919704100. Its totient is φ = 367008074496.

The previous prime is 1330404321157. The next prime is 1330404321251. The reversal of 1330404321204 is 4021234040331.

1330404321204 is a `hidden beast` number, since 1 + 3 + 30 + 404 + 3 + 21 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (1330404321157) and next prime (1330404321251).

It can be written as a sum of positive squares in 2 ways, for example, as 926594909604 + 403809411600 = 962598^2 + 635460^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12952249 + ... + 13054560.

Almost surely, 21330404321204 is an apocalyptic number.

1330404321204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330404321204 is an abundant number, since it is smaller than the sum of its proper divisors (2716515382896).

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

1330404321204 is a wasteful number, since it uses less digits than its factorization.

1330404321204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26006862 (or 26006850 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1330404321204 its reverse (4021234040331), we get a palindrome (5351638361535).

The spelling of 1330404321204 in words is "one trillion, three hundred thirty billion, four hundred four million, three hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 25578 51156 26006809 52013618 78020427 104027236 156040854 182047663 234061281 312081708 364095326 468122562 546142989 728190652 754197461 936245124 1092285978 1274333641 1508394922 1638428967 2184571956 2262592383 2548667282 3016789844 3276857934 3823000923 4525184766 5097334564 5279382227 6553715868 6787777149 7646001846 9050369532 10558764454 11469002769 13575554298 15292003692 15838146681 21117528908 22938005538 27151108596 31676293362 36955675589 45876011076 47514440043 63352586724 73911351178 95028880086 110867026767 147822702356 190057760172 221734053534 332601080301 443468107068 665202160602 1330404321204