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104444132304 = 2439728377907
BaseRepresentation
bin110000101000101011…
…0101111101111010000
3100222120220001122200110
41201101112233233100
53202400144213204
6115551520121320
710355136322311
oct1412126575720
9328526048613
10104444132304
1140326a98516
12182aa166240
139b06455125
1450ab386608
152ab448e889
hex18515afbd0

104444132304 has 80 divisors (see below), whose sum is σ = 272726169408. Its totient is φ = 34439294976.

The previous prime is 104444132293. The next prime is 104444132321. The reversal of 104444132304 is 403231444401.

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 15 ways as a sum of consecutive naturals, for example, 13205119 + ... + 13213025.

Almost surely, 2104444132304 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 104444132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136363084704).

104444132304 is an abundant number, since it is smaller than the sum of its proper divisors (168282037104).

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

104444132304 is a wasteful number, since it uses less digits than its factorization.

104444132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10852 (or 10846 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 104444132304 its reverse (403231444401), we get a palindrome (507675576705).

The spelling of 104444132304 in words is "one hundred four billion, four hundred forty-four million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 2837 4656 5674 7907 8511 11348 15814 17022 22696 23721 31628 34044 45392 47442 63256 68088 94884 126512 136176 189768 275189 379536 550378 766979 825567 1100756 1533958 1651134 2201512 2300937 3067916 3302268 4403024 4601874 6135832 6604536 9203748 12271664 13209072 18407496 22432159 36814992 44864318 67296477 89728636 134592954 179457272 269185908 358914544 538371816 1076743632 2175919423 4351838846 6527758269 8703677692 13055516538 17407355384 26111033076 34814710768 52222066152 104444132304