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44044444104 = 23347149271967
BaseRepresentation
bin101001000001010000…
…001110000111001000
311012200112101120210120
4221001100032013020
51210200334202404
632122253143240
73116314412013
oct510120160710
9135615346716
1044044444104
1117751a38831
12865248ab20
1341cbc6555b
1421bb7b037a
15122bada9d9
hexa4140e1c8

44044444104 has 128 divisors (see below), whose sum is σ = 113743872000. Its totient is φ = 14205300480.

The previous prime is 44044444063. The next prime is 44044444109. The reversal of 44044444104 is 40144444044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (44044444109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45547029 + ... + 45547995.

It is an arithmetic number, because the mean of its divisors is an integer number (888624000).

Almost surely, 244044444104 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 44044444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871936000).

44044444104 is an abundant number, since it is smaller than the sum of its proper divisors (69699427896).

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

44044444104 is a wasteful number, since it uses less digits than its factorization.

44044444104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 44044444104 its reverse (40144444044), we get a palindrome (84188888148).

The spelling of 44044444104 in words is "forty-four billion, forty-four million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 149 188 271 282 298 376 447 542 564 596 813 894 967 1084 1128 1192 1626 1788 1934 2168 2901 3252 3576 3868 5802 6504 7003 7736 11604 12737 14006 21009 23208 25474 28012 38211 40379 42018 45449 50948 56024 76422 80758 84036 90898 101896 121137 136347 144083 152844 161516 168072 181796 242274 262057 272694 288166 305688 323032 363592 432249 484548 524114 545388 576332 786171 864498 969096 1048228 1090776 1152664 1572342 1728996 1897813 2096456 3144684 3457992 3795626 5693439 6289368 6771901 7591252 11386878 12316679 13543802 15182504 20315703 22773756 24633358 27087604 36950037 39046493 40631406 45547512 49266716 54175208 73900074 78092986 81262812 98533432 117139479 147800148 156185972 162525624 234278958 295600296 312371944 468557916 937115832 1835185171 3670370342 5505555513 7340740684 11011111026 14681481368 22022222052 44044444104