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1093423811040 = 2532511314154311
BaseRepresentation
bin11111110100101010010…
…00110100100111100000
310212112022120210202101200
433322111020310213200
5120403312443423130
62154151215001200
7141666030020661
oct17722510644740
93775276722350
101093423811040
1139179a265990
12157ab5509200
137c15652c8c2
143acc9d4d368
151d6984a0760
hexfe952349e0

1093423811040 has 576 divisors, whose sum is σ = 4304388501504. Its totient is φ = 250260480000.

The previous prime is 1093423810987. The next prime is 1093423811107. The reversal of 1093423811040 is 401183243901.

1093423811040 is a `hidden beast` number, since 109 + 3 + 423 + 81 + 10 + 40 = 666.

1093423811040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1093423810986 and 1093423811004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20105485 + ... + 20159795.

It is an arithmetic number, because the mean of its divisors is an integer number (7472896704).

Almost surely, 21093423811040 is an apocalyptic number.

1093423811040 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 1093423811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152194250752).

1093423811040 is an abundant number, since it is smaller than the sum of its proper divisors (3210964690464).

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

1093423811040 is a wasteful number, since it uses less digits than its factorization.

1093423811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54415 (or 54404 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1093423811040 in words is "one trillion, ninety-three billion, four hundred twenty-three million, eight hundred eleven thousand, forty".