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1441813849920 = 263355912722271
BaseRepresentation
bin10100111110110010110…
…011010110011101000000
312002211120111010110022000
4110332302303112131000
5142110313321144140
63022205442344000
7206111330341023
oct24766263263500
95084514113260
101441813849920
1150651936a654
121b352465b000
13a5c686b84c2
144dad9a571ba
1527788ed8a30
hex14fb2cd6740

1441813849920 has 448 divisors, whose sum is σ = 5213572300800. Its totient is φ = 374974064640.

The previous prime is 1441813849897. The next prime is 1441813849937. The reversal of 1441813849920 is 299483181441.

1441813849920 is a `hidden beast` number, since 1 + 4 + 4 + 18 + 138 + 499 + 2 + 0 = 666.

It is a super-2 number, since 2×14418138499202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64728385 + ... + 64750655.

Almost surely, 21441813849920 is an apocalyptic number.

1441813849920 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 1441813849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606786150400).

1441813849920 is an abundant number, since it is smaller than the sum of its proper divisors (3771758450880).

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

1441813849920 is a wasteful number, since it uses less digits than its factorization.

1441813849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22483 (or 22467 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1441813849920 in words is "one trillion, four hundred forty-one billion, eight hundred thirteen million, eight hundred forty-nine thousand, nine hundred twenty".