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21442332402000 = 24325331113340063
BaseRepresentation
bin1001110000000011011101…
…00110110010000101010000
32210220212102000100010200100
410320001232212302011100
510302302344043331000
6113334245503052400
74342104662115366
oct470015646620520
983825360303610
1021442332402000
116917707705524
1224a38018a1100
13bc700724b693
14541b58ad9636
15272b6e64ea00
hex13806e9b2150

21442332402000 has 480 divisors, whose sum is σ = 77991115677696. Its totient is φ = 5484519936000.

The previous prime is 21442332401983. The next prime is 21442332402059. The reversal of 21442332402000 is 20423324412.

21442332402000 is a `hidden beast` number, since 2 + 1 + 4 + 423 + 32 + 4 + 0 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62883969 + ... + 63224031.

Almost surely, 221442332402000 is an apocalyptic number.

21442332402000 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 21442332402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38995557838848).

21442332402000 is an abundant number, since it is smaller than the sum of its proper divisors (56548783275696).

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

21442332402000 is a wasteful number, since it uses less digits than its factorization.

21442332402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340236 (or 340217 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21442332402000 its reverse (20423324412), we get a palindrome (21462755726412).

The spelling of 21442332402000 in words is "twenty-one trillion, four hundred forty-two billion, three hundred thirty-two million, four hundred two thousand".