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544202250201400 = 2352712761918612657
BaseRepresentation
bin111101110111100101111010…
…1110011110010100100111000
32122100212020010111122010012011
41323233023311303302210320
51032312202202022421100
65205231021251455304
7222425213035414510
oct17357136563624470
92570766114563164
10544202250201400
11148443972a0828a
12510520605b7534
131a48708a30365b
14985575ab40840
1542dae39380bba
hex1eef2f5cf2938

544202250201400 has 384 divisors, whose sum is σ = 1461097683763200. Its totient is φ = 184646581862400.

The previous prime is 544202250201383. The next prime is 544202250201461. The reversal of 544202250201400 is 4102052202445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204818308872 + ... + 204818311528.

It is an arithmetic number, because the mean of its divisors is an integer number (3804941884800).

Almost surely, 2544202250201400 is an apocalyptic number.

544202250201400 is a gapful number since it is divisible by the number (50) 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 544202250201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730548841881600).

544202250201400 is an abundant number, since it is smaller than the sum of its proper divisors (916895433561800).

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

544202250201400 is a wasteful number, since it uses less digits than its factorization.

544202250201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 544202250201400 in words is "five hundred forty-four trillion, two hundred two billion, two hundred fifty million, two hundred one thousand, four hundred".