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1441324124240 = 24571113432231877
BaseRepresentation
bin10100111110010101100…
…111001100100001010000
312002210022100121210221212
4110332111213030201100
5142103312433433430
63022045110035252
7206063232625250
oct24762547144120
95083270553855
101441324124240
11506297990490
121b3408648b28
13a5bbb0bcab0
144da909b7960
152775aeeeb95
hex14f959cc850

1441324124240 has 640 divisors, whose sum is σ = 4627095846912. Its totient is φ = 403011624960.

The previous prime is 1441324124239. The next prime is 1441324124243. The reversal of 1441324124240 is 424214231441.

It is a super-2 number, since 2×14413241242402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1441324124197 and 1441324124206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441324124243) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 767886182 + ... + 767888058.

Almost surely, 21441324124240 is an apocalyptic number.

1441324124240 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 1441324124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313547923456).

1441324124240 is an abundant number, since it is smaller than the sum of its proper divisors (3185771722672).

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

1441324124240 is a wasteful number, since it uses less digits than its factorization.

1441324124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1441324124240 its reverse (424214231441), we get a palindrome (1865538355681).

The spelling of 1441324124240 in words is "one trillion, four hundred forty-one billion, three hundred twenty-four million, one hundred twenty-four thousand, two hundred forty".