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21000432314400 = 25352711835472503
BaseRepresentation
bin1001100011001100010110…
…10011101110100000100000
32202100121210020100210000020
410301212023103232200200
510223032341133030100
6112355244310353440
74265142201260520
oct461461323564040
982317706323006
1021000432314400
11676726261a160
12243203635b880
13b94441cc63c6
145285d7c7b680
152664095455a0
hex13198b4ee820

21000432314400 has 1152 divisors, whose sum is σ = 86442563321856. Its totient is φ = 4301550489600.

The previous prime is 21000432314387. The next prime is 21000432314429. The reversal of 21000432314400 is 441323400012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 8390103549 + ... + 8390106051.

It is an arithmetic number, because the mean of its divisors is an integer number (75036947328).

Almost surely, 221000432314400 is an apocalyptic number.

21000432314400 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 21000432314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43221281660928).

21000432314400 is an abundant number, since it is smaller than the sum of its proper divisors (65442131007456).

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

21000432314400 is a wasteful number, since it uses less digits than its factorization.

21000432314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21000432314400 its reverse (441323400012), we get a palindrome (21441755714412).

The spelling of 21000432314400 in words is "twenty-one trillion, four hundred thirty-two million, three hundred fourteen thousand, four hundred".