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1141044143736 = 233729679736037
BaseRepresentation
bin10000100110101011100…
…001111110011001111000
311001002020022212022011110
4100212223201332121320
5122143324300044421
62232104412000320
7145303065123120
oct20465341763170
94032208768143
101141044143736
113aaa06743742
121651854600a0
13837a5282663
143d3265d3c80
151ea33e88a76
hex109ab87e678

1141044143736 has 256 divisors, whose sum is σ = 3458264140800. Its totient is φ = 306867585024.

The previous prime is 1141044143653. The next prime is 1141044143753. The reversal of 1141044143736 is 6373414401411.

It is a junction number, because it is equal to n+sod(n) for n = 1141044143694 and 1141044143703.

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, 31645110 + ... + 31681146.

It is an arithmetic number, because the mean of its divisors is an integer number (13508844300).

Almost surely, 21141044143736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141044143736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729132070400).

1141044143736 is an abundant number, since it is smaller than the sum of its proper divisors (2317219997064).

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

1141044143736 is a wasteful number, since it uses less digits than its factorization.

1141044143736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36246 (or 36242 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1141044143736 in words is "one trillion, one hundred forty-one billion, forty-four million, one hundred forty-three thousand, seven hundred thirty-six".