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40103312133132 = 22321807736162319
BaseRepresentation
bin10010001111001010001111…
…01011001000110000001100
312020222211122202221011001200
421013211013223020300030
520224023040401230012
6221143112433505500
711306240313510033
oct1107450753106014
9166884582834050
1040103312133132
11118617a0231886
1245b835a112290
13194b959346ca1
149c902139371a
154982a4b043dc
hex247947ac8c0c

40103312133132 has 36 divisors (see below), whose sum is σ = 101372838446880. Its totient is φ = 13367694593952.

The previous prime is 40103312133047. The next prime is 40103312133173. The reversal of 40103312133132 is 23133121330104.

40103312133132 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 331 + 2 + 13 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 40103312133096 and 40103312133105.

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, 3426669 + ... + 9588987.

It is an arithmetic number, because the mean of its divisors is an integer number (2815912179080).

Almost surely, 240103312133132 is an apocalyptic number.

It is an amenable number.

40103312133132 is an abundant number, since it is smaller than the sum of its proper divisors (61269526313748).

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

40103312133132 is a wasteful number, since it uses less digits than its factorization.

40103312133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343102 (or 6343097 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 40103312133132 its reverse (23133121330104), we get a palindrome (63236433463236).

The spelling of 40103312133132 in words is "forty trillion, one hundred three billion, three hundred twelve million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 180773 361546 542319 723092 1084638 1626957 2169276 3253914 6162319 6507828 12324638 18486957 24649276 36973914 55460871 73947828 110921742 221843484 1113980892587 2227961785174 3341942677761 4455923570348 6683885355522 10025828033283 13367770711044 20051656066566 40103312133132