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104323441024 = 271183979203
BaseRepresentation
bin110000100101000101…
…0010110000110000000
3100222021110221220101001
41201022022112012000
53202123300103044
6115531525221344
710352142421555
oct1411212260600
9328243856331
10104323441024
1140274954360
1218275861854
139ab744867a
14509932aa2c
152aa8a9e2d4
hex184a296180

104323441024 has 128 divisors (see below), whose sum is σ = 231848023680. Its totient is φ = 46360412160.

The previous prime is 104323440973. The next prime is 104323441031. The reversal of 104323441024 is 420144323401.

104323441024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 104323440983 and 104323441001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11331207 + ... + 11340409.

It is an arithmetic number, because the mean of its divisors is an integer number (1811312685).

Almost surely, 2104323441024 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 104323441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115924011840).

104323441024 is an abundant number, since it is smaller than the sum of its proper divisors (127524582656).

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

104323441024 is an equidigital number, since it uses as much as digits as its factorization.

104323441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 104323441024 its reverse (420144323401), we get a palindrome (524467764425).

The spelling of 104323441024 in words is "one hundred four billion, three hundred twenty-three million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 97 128 166 176 194 332 352 388 664 704 776 913 1067 1328 1408 1552 1826 2134 2656 3104 3652 4268 5312 6208 7304 8051 8536 9203 10624 12416 14608 16102 17072 18406 29216 32204 34144 36812 58432 64408 68288 73624 88561 101233 116864 128816 136576 147248 177122 202466 257632 294496 354244 404932 515264 588992 708488 763849 809864 892691 1030528 1177984 1416976 1527698 1619728 1785382 2833952 3055396 3239456 3570764 5667904 6110792 6478912 7141528 8402339 9819601 11335808 12221584 12957824 14283056 16804678 19639202 24443168 28566112 33609356 39278404 48886336 57132224 67218712 74093353 78556808 97772672 114264448 134437424 148186706 157113616 268874848 296373412 314227232 537749696 592746824 628454464 815026883 1075499392 1185493648 1256908928 1630053766 2370987296 3260107532 4741974592 6520215064 9483949184 13040430128 26080860256 52161720512 104323441024