Search a number
-
+
105430053144 = 233131719877461
BaseRepresentation
bin110001000110000011…
…1101111000100011000
3101002010121020121211010
41202030013233010120
53211410043200034
6120233415533520
710421440444143
oct1421407570430
9332117217733
10105430053144
1140792575429
121852438a2a0
139c327a2b40
1451622ab05a
152b20cde3e9
hex188c1ef118

105430053144 has 64 divisors (see below), whose sum is σ = 300547225440. Its totient is φ = 30531778560.

The previous prime is 105430053139. The next prime is 105430053163. The reversal of 105430053144 is 441350034501.

It is a super-2 number, since 2×1054300531442 (a number of 23 digits) contains 22 as substring.

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, 9933427 + ... + 9944034.

Almost surely, 2105430053144 is an apocalyptic number.

It is an amenable number.

105430053144 is an abundant number, since it is smaller than the sum of its proper divisors (195117172296).

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

105430053144 is a wasteful number, since it uses less digits than its factorization.

105430053144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19877500 (or 19877496 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105430053144 its reverse (441350034501), we get a palindrome (546780087645).

The spelling of 105430053144 in words is "one hundred five billion, four hundred thirty million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 19877461 39754922 59632383 79509844 119264766 159019688 238529532 258406993 337916837 477059064 516813986 675833674 775220979 1013750511 1033627972 1351667348 1550441958 2027501022 2067255944 2703334696 3100883916 4055002044 4392918881 6201767832 8110004088 8785837762 13178756643 17571675524 26357513286 35143351048 52715026572 105430053144