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23404331104 = 2571124121061
BaseRepresentation
bin10101110011000000…
…011100000001100000
32020102002101012120221
4111303000130001200
5340413002043404
614430220012424
71455660350320
oct256300340140
966362335527
1023404331104
119a20153400
124652091114
13228ca88c3b
1411c049d280
1591ea7b954
hex57301c060

23404331104 has 144 divisors (see below), whose sum is σ = 59296775328. Its totient is φ = 8895744000.

The previous prime is 23404331089. The next prime is 23404331107. The reversal of 23404331104 is 40113340432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23404331107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1100734 + ... + 1121794.

It is an arithmetic number, because the mean of its divisors is an integer number (411783162).

Almost surely, 223404331104 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 23404331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29648387664).

23404331104 is an abundant number, since it is smaller than the sum of its proper divisors (35892444224).

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

23404331104 is a wasteful number, since it uses less digits than its factorization.

23404331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21141 (or 21122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 23404331104 its reverse (40113340432), we get a palindrome (63517671536).

The spelling of 23404331104 in words is "twenty-three billion, four hundred four million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 112 121 154 164 176 224 242 287 308 328 352 451 484 574 616 656 847 902 968 1148 1232 1312 1694 1804 1936 2296 2464 3157 3388 3608 3872 4592 4961 6314 6776 7216 9184 9922 12628 13552 14432 19844 21061 25256 27104 34727 39688 42122 50512 69454 79376 84244 101024 138908 147427 158752 168488 231671 277816 294854 336976 463342 555632 589708 673952 863501 926684 1111264 1179416 1621697 1727002 1853368 2358832 2548381 3243394 3454004 3706736 4717664 5096762 6044507 6486788 6908008 7413472 9498511 10193524 12089014 12973576 13816016 17838667 18997022 20387048 24178028 25947152 27632032 35677334 37994044 40774096 48356056 51894304 66489577 71354668 75988088 81548192 96712112 104483621 132979154 142709336 151976176 193424224 208967242 265958308 285418672 303952352 417934484 531916616 570837344 731385347 835868968 1063833232 1462770694 1671737936 2127666464 2925541388 3343475872 5851082776 11702165552 23404331104