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104444130024 = 23341399112511
BaseRepresentation
bin110000101000101011…
…0101111001011101000
3100222120220001112120000
41201101112233023220
53202400144130044
6115551520103000
710355136312543
oct1412126571350
9328526045500
10104444130024
1140326a96833
12182aa164a60
139b06454090
1450ab38585a
152ab448dd69
hex18515af2e8

104444130024 has 160 divisors (see below), whose sum is σ = 315386480640. Its totient is φ = 32101660800.

The previous prime is 104444130023. The next prime is 104444130107. The reversal of 104444130024 is 420031444401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104444130024.

It is not an unprimeable number, because it can be changed into a prime (104444130023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8341929 + ... + 8354439.

It is an arithmetic number, because the mean of its divisors is an integer number (1971165504).

Almost surely, 2104444130024 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 104444130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157693240320).

104444130024 is an abundant number, since it is smaller than the sum of its proper divisors (210942350616).

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

104444130024 is a wasteful number, since it uses less digits than its factorization.

104444130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13533 (or 13520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104444130024 its reverse (420031444401), we get a palindrome (524475574425).

The spelling of 104444130024 in words is "one hundred four billion, four hundred forty-four million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 991 1053 1404 1982 2106 2808 2973 3964 4212 5946 7928 8424 8919 11892 12511 12883 17838 23784 25022 25766 26757 35676 37533 38649 50044 51532 53514 71352 75066 77298 80271 100088 103064 107028 112599 115947 150132 154596 160542 162643 214056 225198 231894 300264 309192 321084 325286 337797 347841 450396 463788 487929 642168 650572 675594 695682 900792 927576 975858 1013391 1043523 1301144 1351188 1391364 1463787 1951716 2026782 2087046 2702376 2782728 2927574 3903432 4053564 4174092 4391361 5855148 8107128 8348184 8782722 11710296 12398401 13174083 17565444 24796802 26348166 35130888 37195203 49593604 52696332 74390406 99187208 105392664 111585609 148780812 161179213 223171218 297561624 322358426 334756827 446342436 483537639 644716852 669513654 892684872 967075278 1004270481 1289433704 1339027308 1450612917 1934150556 2008540962 2678054616 2901225834 3868301112 4017081924 4351838751 5802451668 8034163848 8703677502 11604903336 13055516253 17407355004 26111032506 34814710008 52222065012 104444130024