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1003424250240 = 27335437731747
BaseRepresentation
bin11101001101000001011…
…11101111100110000000
310112221000100202100202000
432212200233233212000
5112420003102001430
62044544452024000
7132331534253616
oct16464057574600
93487010670660
101003424250240
11357605914875
12142578902000
1373812832509
14367cd1276b6
151b17c1ade60
hexe9a0bef980

1003424250240 has 512 divisors, whose sum is σ = 3643229145600. Its totient is φ = 260869496832.

The previous prime is 1003424250229. The next prime is 1003424250263. The reversal of 1003424250240 is 420524243001.

1003424250240 is a `hidden beast` number, since 100 + 34 + 24 + 2 + 502 + 4 + 0 = 666.

1003424250240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10034242502402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574369047 + ... + 574370793.

It is an arithmetic number, because the mean of its divisors is an integer number (7115681925).

Almost surely, 21003424250240 is an apocalyptic number.

1003424250240 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 1003424250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821614572800).

1003424250240 is an abundant number, since it is smaller than the sum of its proper divisors (2639804895360).

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

1003424250240 is a wasteful number, since it uses less digits than its factorization.

1003424250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1003424250240 its reverse (420524243001), we get a palindrome (1423948493241).

The spelling of 1003424250240 in words is "one trillion, three billion, four hundred twenty-four million, two hundred fifty thousand, two hundred forty".