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1304424001332 = 2232472213348367
BaseRepresentation
bin10010111110110101101…
…110101010111100110100
311121200221112220000011100
4102332311232222330310
5132332430021020312
62435124421210100
7163145562032424
oct22766556527464
94550845800140
101304424001332
11463226384941
12190980b60930
1396011811bca
14471c4d50484
1523de75005dc
hex12fb5baaf34

1304424001332 has 72 divisors (see below), whose sum is σ = 3368980532736. Its totient is φ = 425363246784.

The previous prime is 1304424001289. The next prime is 1304424001337. The reversal of 1304424001332 is 2331004244031.

1304424001332 is a `hidden beast` number, since 1 + 304 + 4 + 24 + 0 + 0 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1304424001296 and 1304424001305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304424001337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3570213 + ... + 3918579.

It is an arithmetic number, because the mean of its divisors is an integer number (46791396288).

Almost surely, 21304424001332 is an apocalyptic number.

1304424001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304424001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684490266368).

1304424001332 is an abundant number, since it is smaller than the sum of its proper divisors (2064556531404).

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

1304424001332 is a wasteful number, since it uses less digits than its factorization.

1304424001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350637 (or 350632 counting only the distinct ones).

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

Adding to 1304424001332 its reverse (2331004244031), we get a palindrome (3635428245363).

The spelling of 1304424001332 in words is "one trillion, three hundred four billion, four hundred twenty-four million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2213 4426 6639 8852 13278 19917 26556 39834 79668 104011 208022 312033 348367 416044 624066 696734 936099 1045101 1248132 1393468 1872198 2090202 3135303 3744396 4180404 6270606 12541212 16373249 32746498 49119747 65492996 98239494 147359241 196478988 294718482 589436964 770936171 1541872342 2312808513 3083744684 4625617026 6938425539 9251234052 13876851078 27753702156 36234000037 72468000074 108702000111 144936000148 217404000222 326106000333 434808000444 652212000666 1304424001332