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1311113040432 = 24313417101557
BaseRepresentation
bin10011000101000100011…
…011010101001000110000
311122100012201111101210020
4103011010123111020300
5132440124414243212
62442152250403440
7163503413651226
oct23050433251060
94570181441706
101311113040432
11466049148a28
12192129130580
1396839580000
144765b482b16
1524189892d8c
hex131446d5230

1311113040432 has 400 divisors, whose sum is σ = 3930636717792. Its totient is φ = 375254630400.

The previous prime is 1311113040379. The next prime is 1311113040473. The reversal of 1311113040432 is 2340403111131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2353883098 + ... + 2353883654.

Almost surely, 21311113040432 is an apocalyptic number.

1311113040432 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 1311113040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965318358896).

1311113040432 is an abundant number, since it is smaller than the sum of its proper divisors (2619523677360).

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

1311113040432 is a wasteful number, since it uses less digits than its factorization.

1311113040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311113040432 its reverse (2340403111131), we get a palindrome (3651516151563).

The spelling of 1311113040432 in words is "one trillion, three hundred eleven billion, one hundred thirteen million, forty thousand, four hundred thirty-two".