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104044321404 = 2232192344314929
BaseRepresentation
bin110000011100110000…
…1100101101001111100
3100221120000202011020100
41200321201211221330
53201040321241104
6115444114521100
710342213066002
oct1407141455174
9327500664210
10104044321404
1140141341691
12181b8296190
139a7167b92a
145070230a72
152a8e317139
hex1839865a7c

104044321404 has 144 divisors (see below), whose sum is σ = 289551225600. Its totient is φ = 31354532352.

The previous prime is 104044321363. The next prime is 104044321453. The reversal of 104044321404 is 404123440401.

104044321404 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 443 + 214 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6961812 + ... + 6976740.

It is an arithmetic number, because the mean of its divisors is an integer number (2010772400).

Almost surely, 2104044321404 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 104044321404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144775612800).

104044321404 is an abundant number, since it is smaller than the sum of its proper divisors (185506904196).

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

104044321404 is a wasteful number, since it uses less digits than its factorization.

104044321404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15419 counting only the distinct ones).

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

Adding to 104044321404 its reverse (404123440401), we get a palindrome (508167761805).

The spelling of 104044321404 in words is "one hundred four billion, forty-four million, three hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 443 684 828 874 886 1311 1329 1748 1772 2622 2658 3933 3987 5244 5316 7866 7974 8417 10189 14929 15732 15948 16834 20378 25251 29858 30567 33668 40756 44787 50502 59716 61134 75753 89574 91701 101004 122268 134361 151506 179148 183402 193591 268722 283651 303012 343367 366804 387182 537444 567302 580773 686734 774364 850953 1030101 1134604 1161546 1373468 1701906 1742319 2060202 2323092 2552859 3090303 3403812 3484638 4120404 5105718 6180606 6523973 6613547 6969276 10211436 12361212 13047946 13227094 19571919 19840641 26095892 26454188 39143838 39681282 58715757 59521923 78287676 79362564 117431514 119043846 125657393 152111581 234863028 238087692 251314786 304223162 376972179 456334743 502629572 608446324 753944358 912669486 1130916537 1369004229 1507888716 1825338972 2261833074 2738008458 2890120039 4523666148 5476016916 5780240078 8670360117 11560480156 17340720234 26011080351 34681440468 52022160702 104044321404