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1002443213024 = 25114169459757
BaseRepresentation
bin11101001011001100100…
…01011000100011100000
310112211110222202111200022
432211212101120203200
5112411000430304044
62044303245013012
7132265322502041
oct16454621304340
93484428674608
101002443213024
11357152073010
12142344254168
13736b7504616
1436738b148c8
151b120ec63ee
hexe9664588e0

1002443213024 has 48 divisors (see below), whose sum is σ = 2205486236016. Its totient is φ = 444542438400.

The previous prime is 1002443212963. The next prime is 1002443213039. The reversal of 1002443213024 is 4203123442001.

It is a junction number, because it is equal to n+sod(n) for n = 1002443212984 and 1002443213002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34715447 + ... + 34744310.

It is an arithmetic number, because the mean of its divisors is an integer number (45947629917).

Almost surely, 21002443213024 is an apocalyptic number.

It is an amenable number.

1002443213024 is an abundant number, since it is smaller than the sum of its proper divisors (1203043022992).

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

1002443213024 is a wasteful number, since it uses less digits than its factorization.

1002443213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69459819 (or 69459811 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1002443213024 its reverse (4203123442001), we get a palindrome (5205566655025).

The spelling of 1002443213024 in words is "one trillion, two billion, four hundred forty-three million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 69459757 138919514 277839028 555678056 764057327 1111356112 1528114654 2222712224 2847850037 3056229308 5695700074 6112458616 11391400148 12224917232 22782800296 24449834464 31326350407 45565600592 62652700814 91131201184 125305401628 250610803256 501221606512 1002443213024