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425511231055344 = 243371391022399023
BaseRepresentation
bin110000011000000000000110…
…1110001100110010111110000
32001210121110212022021012001000
41200300000031301212113300
5421233034000122232334
64104553054433242000
7155425112656001460
oct14060001561462760
92053543768235030
10425511231055344
1111364333296a805
123b882b16403300
13153576c97a9895
147710bd3cc9ba0
15342d7cc2e9299
hex183000dc665f0

425511231055344 has 320 divisors, whose sum is σ = 1406050806988800. Its totient is φ = 120686974265088.

The previous prime is 425511231055343. The next prime is 425511231055363. The reversal of 425511231055344 is 443550132115524.

425511231055344 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 1 + 1 + 2 + 3 + 105 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 425511231055344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425511231055343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4297045417 + ... + 4297144439.

It is an arithmetic number, because the mean of its divisors is an integer number (4393908771840).

Almost surely, 2425511231055344 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 425511231055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703025403494400).

425511231055344 is an abundant number, since it is smaller than the sum of its proper divisors (980539575933456).

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

425511231055344 is a wasteful number, since it uses less digits than its factorization.

425511231055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109409 (or 109397 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 425511231055344 in words is "four hundred twenty-five trillion, five hundred eleven billion, two hundred thirty-one million, fifty-five thousand, three hundred forty-four".