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44001441144 = 2332611131127
BaseRepresentation
bin101000111110101100…
…001011010101111000
311012120112110210211100
4220332230023111320
51210103332104034
632114115331400
73115253035653
oct507654132570
9135515423740
1044001441144
111772a736aa1
12863bbb0b60
1341c3089c0b
1421b5bb889a
151227e44099
hexa3eb0b578

44001441144 has 24 divisors (see below), whose sum is σ = 119170569960. Its totient is φ = 14667147024.

The previous prime is 44001441101. The next prime is 44001441157. The reversal of 44001441144 is 44114410044.

44001441144 is a `hidden beast` number, since 4 + 400 + 144 + 114 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×440014411442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 305565492 + ... + 305565635.

It is an arithmetic number, because the mean of its divisors is an integer number (4965440415).

Almost surely, 244001441144 is an apocalyptic number.

It is an amenable number.

44001441144 is an abundant number, since it is smaller than the sum of its proper divisors (75169128816).

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

44001441144 is a wasteful number, since it uses less digits than its factorization.

44001441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611131139 (or 611131132 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44001441144 its reverse (44114410044), we get a palindrome (88115851188).

The spelling of 44001441144 in words is "forty-four billion, one million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 611131127 1222262254 1833393381 2444524508 3666786762 4889049016 5500180143 7333573524 11000360286 14667147048 22000720572 44001441144