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20014303030400 = 2752731122323567
BaseRepresentation
bin1001000110011111100010…
…11011000010110010000000
32121212100102012010201210102
410203033301123002302000
510110403243033433100
6110322235513421532
74133662041540650
oct443176133026200
977770365121712
1020014303030400
11641702231a518
1222b2aa570a8a8
13b22457611b33
144d29a9a96360
1524a9408c5cd5
hex1233f16c2c80

20014303030400 has 384 divisors, whose sum is σ = 58377566453760. Its totient is φ = 6634979020800.

The previous prime is 20014303030391. The next prime is 20014303030427. The reversal of 20014303030400 is 403030341002.

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

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 47 ways as a sum of consecutive naturals, for example, 849239417 + ... + 849262983.

It is an arithmetic number, because the mean of its divisors is an integer number (152024912640).

Almost surely, 220014303030400 is an apocalyptic number.

20014303030400 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 20014303030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29188783226880).

20014303030400 is an abundant number, since it is smaller than the sum of its proper divisors (38363263423360).

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

20014303030400 is a wasteful number, since it uses less digits than its factorization.

20014303030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24852 (or 24835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20014303030400 its reverse (403030341002), we get a palindrome (20417333371402).

The spelling of 20014303030400 in words is "twenty trillion, fourteen billion, three hundred three million, thirty thousand, four hundred".