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1420110344400 = 2435211532029889
BaseRepresentation
bin10100101010100101001…
…011000011000011010000
312000202112221011010210020
4110222211023003003100
5141231341222010100
63004220101103440
7204412441521516
oct24524513030320
95022487133706
101420110344400
114a82a12a3730
121ab2880b7b80
13a3bba107847
144ca3b4164b6
1526e189255a0
hex14aa52c30d0

1420110344400 has 240 divisors, whose sum is σ = 5056277359680. Its totient is φ = 337773363200.

The previous prime is 1420110344333. The next prime is 1420110344423. The reversal of 1420110344400 is 44430110241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14201103444002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 315345 + ... + 1714544.

It is an arithmetic number, because the mean of its divisors is an integer number (21067822332).

Almost surely, 21420110344400 is an apocalyptic number.

1420110344400 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 1420110344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528138679840).

1420110344400 is an abundant number, since it is smaller than the sum of its proper divisors (3636167015280).

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

1420110344400 is a wasteful number, since it uses less digits than its factorization.

1420110344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029974 (or 2029963 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1420110344400 its reverse (44430110241), we get a palindrome (1464540454641).

The spelling of 1420110344400 in words is "one trillion, four hundred twenty billion, one hundred ten million, three hundred forty-four thousand, four hundred".