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4425055350144 = 2731113211381917
BaseRepresentation
bin100000001100100100111…
…0110100010110110000000
3120200000211201022201212020
41000121021312202312000
51040000003132201034
613224501541201440
7634461665605152
oct100311166426600
916600751281766
104425055350144
111456723425410
125b5732100280
1326138627c940
14114260d76ad2
157a18c35b249
hex40649da2d80

4425055350144 has 256 divisors, whose sum is σ = 13874439317760. Its totient is φ = 1231908249600.

The previous prime is 4425055350127. The next prime is 4425055350179. The reversal of 4425055350144 is 4410535505244.

It is a super-2 number, since 2×44250553501442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4425055350096 and 4425055350105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11395474 + ... + 11777390.

It is an arithmetic number, because the mean of its divisors is an integer number (54197028585).

Almost surely, 24425055350144 is an apocalyptic number.

4425055350144 is a gapful number since it is divisible by the number (44) 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 4425055350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937219658880).

4425055350144 is an abundant number, since it is smaller than the sum of its proper divisors (9449383967616).

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

4425055350144 is a wasteful number, since it uses less digits than its factorization.

4425055350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382169 (or 382157 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 4425055350144 in words is "four trillion, four hundred twenty-five billion, fifty-five million, three hundred fifty thousand, one hundred forty-four".