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10420324344000 = 263253891626143
BaseRepresentation
bin1001011110100010101110…
…1110110010000011000000
31100220011200022122021101200
42113220223232302003000
52331211311013002000
634055010402301200
72123562231332454
oct227505356620300
940804608567350
1010420324344000
11335826448692a
121203641657800
135a782b4139cc
142804bc6c6664
151310cacc4500
hex97a2bbb20c0

10420324344000 has 336 divisors, whose sum is σ = 37694082965760. Its totient is φ = 2747529523200.

The previous prime is 10420324343983. The next prime is 10420324344029. The reversal of 10420324344000 is 44342302401.

It is a happy number.

10420324344000 is a `hidden beast` number, since 1 + 0 + 4 + 203 + 24 + 34 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5594929 + ... + 7221071.

Almost surely, 210420324344000 is an apocalyptic number.

10420324344000 is a gapful number since it is divisible by the number (10) 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 10420324344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847041482880).

10420324344000 is an abundant number, since it is smaller than the sum of its proper divisors (27273758621760).

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

10420324344000 is a wasteful number, since it uses less digits than its factorization.

10420324344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626265 (or 1626242 counting only the distinct ones).

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

Adding to 10420324344000 its reverse (44342302401), we get a palindrome (10464666646401).

The spelling of 10420324344000 in words is "ten trillion, four hundred twenty billion, three hundred twenty-four million, three hundred forty-four thousand".