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1444334124420 = 22335112937922123
BaseRepresentation
bin10101000001001001000…
…001011011110110000100
312010002002010110122222000
4111001021001123312010
5142130444013440140
63023303512505300
7206230642331055
oct25011101336604
95102063418860
101444334124420
115075a1a61140
121b3b086ab230
13a627a895ca5
144dc9866472c
15278853bba30
hex1504905bd84

1444334124420 has 384 divisors, whose sum is σ = 5084626176000. Its totient is φ = 337160517120.

The previous prime is 1444334124419. The next prime is 1444334124421. The reversal of 1444334124420 is 244214334441.

1444334124420 is a `hidden beast` number, since 1 + 44 + 43 + 34 + 124 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (1444334124419) and next prime (1444334124421).

It is a super-2 number, since 2×14443341244202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1444334124421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65275479 + ... + 65297601.

It is an arithmetic number, because the mean of its divisors is an integer number (13241214000).

Almost surely, 21444334124420 is an apocalyptic number.

1444334124420 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 1444334124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542313088000).

1444334124420 is an abundant number, since it is smaller than the sum of its proper divisors (3640292051580).

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

1444334124420 is a wasteful number, since it uses less digits than its factorization.

1444334124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22560 (or 22552 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1444334124420 its reverse (244214334441), we get a palindrome (1688548458861).

The spelling of 1444334124420 in words is "one trillion, four hundred forty-four billion, three hundred thirty-four million, one hundred twenty-four thousand, four hundred twenty".