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1441155540000 = 25354112183569
BaseRepresentation
bin10100111110001011100…
…100000110010000100000
312002202212121101211212010
4110332023210012100200
5142102441304240000
63022020244432520
7206056114654101
oct24761344062040
95082777354763
101441155540000
11506210805670
121b33800a8740
13a5b921b4cc7
144da764523a8
152774b2edd50
hex14f8b906420

1441155540000 has 240 divisors, whose sum is σ = 5157033346080. Its totient is φ = 349370880000.

The previous prime is 1441155539969. The next prime is 1441155540017. The reversal of 1441155540000 is 455511441.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1441155540000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431785 + ... + 1751784.

It is an arithmetic number, because the mean of its divisors is an integer number (21487638942).

Almost surely, 21441155540000 is an apocalyptic number.

1441155540000 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 1441155540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578516673040).

1441155540000 is an abundant number, since it is smaller than the sum of its proper divisors (3715877806080).

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

1441155540000 is a wasteful number, since it uses less digits than its factorization.

1441155540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183613 (or 2183590 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 1441155540000 in words is "one trillion, four hundred forty-one billion, one hundred fifty-five million, five hundred forty thousand".