Search a number
-
+
42400111104 = 293213707801
BaseRepresentation
bin100111011111001111…
…100101101000000000
311001102221021210222100
4213133033211220000
51143313412023404
631251153310400
73030466666161
oct473717455000
9131387253870
1042400111104
1116a8883703a
128273865400
133cc93a9950
1420a3259768
151182580d39
hex9df3e5a00

42400111104 has 120 divisors (see below), whose sum is σ = 131782823172. Its totient is φ = 13046169600.

The previous prime is 42400111079. The next prime is 42400111177. The reversal of 42400111104 is 40111100424.

42400111104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40739385600 + 1660725504 = 201840^2 + 40752^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293997 + ... + 413804.

Almost surely, 242400111104 is an apocalyptic number.

It is an amenable number.

42400111104 is an abundant number, since it is smaller than the sum of its proper divisors (89382712068).

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

42400111104 is a wasteful number, since it uses less digits than its factorization.

42400111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707838 (or 707819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42400111104 its reverse (40111100424), we get a palindrome (82511211528).

The spelling of 42400111104 in words is "forty-two billion, four hundred million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 707801 1415602 2123403 2831204 4246806 5662408 6370209 8493612 9201413 11324816 12740418 16987224 18402826 22649632 25480836 27604239 33974448 36805652 45299264 50961672 55208478 67948896 73611304 82812717 90598528 101923344 110416956 135897792 147222608 165625434 181197056 203846688 220833912 271795584 294445216 331250868 362394112 407693376 441667824 543591168 588890432 662501736 815386752 883335648 1087182336 1177780864 1325003472 1630773504 1766671296 2355561728 2650006944 3261547008 3533342592 4711123456 5300013888 7066685184 10600027776 14133370368 21200055552 42400111104