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1072454423040 = 29325731113273
BaseRepresentation
bin11111001101100110100…
…00111101001000000000
310210112012012012110210200
433212303100331020000
5120032341313014130
62140402340125200
7140324264121000
oct17466320751000
93715165173720
101072454423040
11383909621360
12153a22996800
137a194075500
1439c9b008000
151cd6c59d760
hexf9b343d200

1072454423040 has 2880 divisors, whose sum is σ = 5186737670400. Its totient is φ = 202887659520.

The previous prime is 1072454423017. The next prime is 1072454423059. The reversal of 1072454423040 is 403244542701.

1072454423040 is a `hidden beast` number, since 1 + 0 + 72 + 4 + 544 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 1072454422986 and 1072454423004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14691156444 + ... + 14691156516.

It is an arithmetic number, because the mean of its divisors is an integer number (1800950580).

Almost surely, 21072454423040 is an apocalyptic number.

1072454423040 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 1072454423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593368835200).

1072454423040 is an abundant number, since it is smaller than the sum of its proper divisors (4114283247360).

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

1072454423040 is a wasteful number, since it uses less digits than its factorization.

1072454423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 1072454423040 its reverse (403244542701), we get a palindrome (1475698965741).

The spelling of 1072454423040 in words is "one trillion, seventy-two billion, four hundred fifty-four million, four hundred twenty-three thousand, forty".