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14111113502232 = 23331910243335681
BaseRepresentation
bin1100110101010111111111…
…1010000101111000011000
31211222000020202120201001000
43031111333322011320120
53322144030024032412
650002320035025000
72654331355501155
oct315257772057030
954860222521030
1014111113502232
11455054277247a
1216ba9b343b160
137b489804b4c6
1436ada54a722c
151970e0b474dc
hexcd57fe85e18

14111113502232 has 128 divisors (see below), whose sum is σ = 41264716896000. Its totient is φ = 4455692789760.

The previous prime is 14111113502197. The next prime is 14111113502237. The reversal of 14111113502232 is 23220531111141.

14111113502232 is a `hidden beast` number, since 1 + 4 + 1 + 11 + 113 + 502 + 2 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14111113502196 and 14111113502205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111113502237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41869432 + ... + 42205112.

It is an arithmetic number, because the mean of its divisors is an integer number (322380600750).

Almost surely, 214111113502232 is an apocalyptic number.

14111113502232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14111113502232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632358448000).

14111113502232 is an abundant number, since it is smaller than the sum of its proper divisors (27153603393768).

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

14111113502232 is a wasteful number, since it uses less digits than its factorization.

14111113502232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345958 (or 345948 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 14111113502232 its reverse (23220531111141), we get a palindrome (37331644613373).

The spelling of 14111113502232 in words is "fourteen trillion, one hundred eleven billion, one hundred thirteen million, five hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 10243 20486 30729 40972 61458 81944 92187 122916 184374 194617 245832 276561 335681 368748 389234 553122 583851 671362 737496 778468 1007043 1106244 1167702 1342724 1556936 1751553 2014086 2212488 2335404 2685448 3021129 3503106 4028172 4670808 5254659 6042258 6377939 7006212 8056344 9063387 10509318 12084516 12755878 14012424 18126774 19133817 21018636 24169032 25511756 36253548 38267634 42037272 51023512 57401451 72507096 76535268 114802902 153070536 172204353 229605804 344408706 459211608 688817412 1377634824 3438380483 6876760966 10315141449 13753521932 20630282898 27507043864 30945424347 41260565796 61890848694 65329229177 82521131592 92836273041 123781697388 130658458354 185672546082 195987687531 247563394776 261316916708 371345092164 391975375062 522633833416 587963062593 742690184328 783950750124 1175926125186 1567901500248 1763889187779 2351852250372 3527778375558 4703704500744 7055556751116 14111113502232