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21002004243440 = 245111722327113249
BaseRepresentation
bin1001100011001111010010…
…00000001010001111110000
32202100202211210020001021022
410301213221000022033300
510223044101041242230
6112400104302315012
74265226146405153
oct461475100121760
982322753201238
1021002004243440
116767999968770
1224323b4888a68
13b9463288122c
14528706945c9a
1526649c54c1e5
hex1319e900a3f0

21002004243440 has 480 divisors, whose sum is σ = 59269135104000. Its totient is φ = 6849449164800.

The previous prime is 21002004243427. The next prime is 21002004243449. The reversal of 21002004243440 is 4434240020012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002004243449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1585169936 + ... + 1585183184.

It is an arithmetic number, because the mean of its divisors is an integer number (123477364800).

Almost surely, 221002004243440 is an apocalyptic number.

21002004243440 is a gapful number since it is divisible by the number (20) 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 21002004243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29634567552000).

21002004243440 is an abundant number, since it is smaller than the sum of its proper divisors (38267130860560).

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

21002004243440 is a wasteful number, since it uses less digits than its factorization.

21002004243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13601 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 21002004243440 its reverse (4434240020012), we get a palindrome (25436244263452).

The spelling of 21002004243440 in words is "twenty-one trillion, two billion, four million, two hundred forty-three thousand, four hundred forty".