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1002201321440 = 25511569432569
BaseRepresentation
bin11101001010101111101…
…10101000111111100000
310112210212010121010210202
432211113312220333200
5112410002014241230
62044223244244332
7132256324450544
oct16452766507740
93483763533722
101002201321440
11357038578310
121422972406a8
13736793707c7
1436714949a24
151b109b44a45
hexe957da8fe0

1002201321440 has 48 divisors (see below), whose sum is σ = 2582946137520. Its totient is φ = 364436843520.

The previous prime is 1002201321409. The next prime is 1002201321463. The reversal of 1002201321440 is 441231022001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284714525 + ... + 284718044.

It is an arithmetic number, because the mean of its divisors is an integer number (53811377865).

Almost surely, 21002201321440 is an apocalyptic number.

1002201321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002201321440 is an abundant number, since it is smaller than the sum of its proper divisors (1580744816080).

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

1002201321440 is a wasteful number, since it uses less digits than its factorization.

1002201321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569432595 (or 569432587 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1002201321440 its reverse (441231022001), we get a palindrome (1443432343441).

The spelling of 1002201321440 in words is "one trillion, two billion, two hundred one million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 569432569 1138865138 2277730276 2847162845 4555460552 5694325690 6263758259 9110921104 11388651380 12527516518 18221842208 22777302760 25055033036 31318791295 45554605520 50110066072 62637582590 91109211040 100220132144 125275165180 200440264288 250550330360 501100660720 1002201321440