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11132141400024 = 233716532946831
BaseRepresentation
bin1010000111111110011101…
…0101010110111111011000
31110102020000002000022112020
42201333213111112333120
52424342111144300044
635402011332214440
72226161561433411
oct241774725267730
943366002008466
1011132141400024
113602129673627
1212b959776a420
136299aab50598
142a6b271c6808
1514488c511a19
hexa1fe7556fd8

11132141400024 has 32 divisors (see below), whose sum is σ = 28222330314240. Its totient is φ = 3658450224800.

The previous prime is 11132141400013. The next prime is 11132141400049. The reversal of 11132141400024 is 42000414123111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11132141399967 and 11132141400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3266471712 + ... + 3266475119.

It is an arithmetic number, because the mean of its divisors is an integer number (881947822320).

Almost surely, 211132141400024 is an apocalyptic number.

It is an amenable number.

11132141400024 is an abundant number, since it is smaller than the sum of its proper divisors (17090188914216).

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

11132141400024 is a wasteful number, since it uses less digits than its factorization.

11132141400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532946911 (or 6532946907 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11132141400024 its reverse (42000414123111), we get a palindrome (53132555523135).

The spelling of 11132141400024 in words is "eleven trillion, one hundred thirty-two billion, one hundred forty-one million, four hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 6532946831 13065893662 19598840493 26131787324 39197680986 52263574648 78395361972 156790723944 463839225001 927678450002 1391517675003 1855356900004 2783035350006 3710713800008 5566070700012 11132141400024