Search a number
-
+
444000242444256 = 25321541667508487
BaseRepresentation
bin110010011110100001101110…
…0101110110010011111100000
32011020002000020022002021101100
41210331003130232302133200
5431143444444031204011
64212150521233434400
7162343646625524661
oct14475033456623740
92136060208067340
10444000242444256
11119521499885293
124196a27aa0ba00
1316099073c09484
147b8da25333368
15364e6ea245d56
hex193d0dcbb27e0

444000242444256 has 36 divisors (see below), whose sum is σ = 1262625689451672. Its totient is φ = 148000080814656.

The previous prime is 444000242444251. The next prime is 444000242444263. The reversal of 444000242444256 is 652444242000444.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444000242444251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 770833753956 + ... + 770833754531.

It is an arithmetic number, because the mean of its divisors is an integer number (35072935818102).

Almost surely, 2444000242444256 is an apocalyptic number.

It is an amenable number.

444000242444256 is an abundant number, since it is smaller than the sum of its proper divisors (818625447007416).

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

444000242444256 is a wasteful number, since it uses less digits than its factorization.

444000242444256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541667508503 (or 1541667508492 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 45.

The spelling of 444000242444256 in words is "four hundred forty-four trillion, two hundred forty-two million, four hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1541667508487 3083335016974 4625002525461 6166670033948 9250005050922 12333340067896 13875007576383 18500010101844 24666680135792 27750015152766 37000020203688 49333360271584 55500030305532 74000040407376 111000060611064 148000080814752 222000121222128 444000242444256