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11040431132000 = 255389257120671
BaseRepresentation
bin1010000010101000110011…
…1110011100110101100000
31110002110021121221222201202
42200222030332130311200
52421341300332211000
635251523135020332
72216434114140614
oct240521476346540
943073247858652
1011040431132000
113577247606896
1212a386206a6a8
136211538c81ba
142a25070cd344
151422c0e53dd5
hexa0a8cf9cd60

11040431132000 has 192 divisors, whose sum is σ = 27538093739520. Its totient is φ = 4349526016000.

The previous prime is 11040431131949. The next prime is 11040431132009. The reversal of 11040431132000 is 23113404011.

It is a super-2 number, since 2×110404311320002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040431132009) 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, 91431665 + ... + 91552335.

It is an arithmetic number, because the mean of its divisors is an integer number (143427571560).

Almost surely, 211040431132000 is an apocalyptic number.

11040431132000 is a gapful number since it is divisible by the number (10) 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 11040431132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769046869760).

11040431132000 is an abundant number, since it is smaller than the sum of its proper divisors (16497662607520).

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

11040431132000 is a wasteful number, since it uses less digits than its factorization.

11040431132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121042 (or 121024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11040431132000 its reverse (23113404011), we get a palindrome (11063544536011).

The spelling of 11040431132000 in words is "eleven trillion, forty billion, four hundred thirty-one million, one hundred thirty-two thousand".