Search a number
-
+
1454002280640 = 2637571317279
BaseRepresentation
bin10101001010001001010…
…010100001100011000000
312011000000220210220000000
4111022021102201203000
5142310244040440030
63031543123000000
7210022350315330
oct25121122414300
95130026726000
101454002280640
11510703421a98
121b5966509000
13a715b8b63a0
14505346c50c0
1527c4e07a860
hex152894a18c0

1454002280640 has 2688 divisors, whose sum is σ = 6875039539200. Its totient is φ = 285077864448.

The previous prime is 1454002280597. The next prime is 1454002280663. The reversal of 1454002280640 is 460822004541.

1454002280640 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 0 + 0 + 2 + 2 + 8 + 0 + 640 = 666.

It is a super-2 number, since 2×14540022806402 (a number of 25 digits) contains 22 as substring.

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 = 1454002280595 and 1454002280604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18405092121 + ... + 18405092199.

It is an arithmetic number, because the mean of its divisors is an integer number (2557678400).

Almost surely, 21454002280640 is an apocalyptic number.

1454002280640 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 1454002280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437519769600).

1454002280640 is an abundant number, since it is smaller than the sum of its proper divisors (5421037258560).

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

1454002280640 is an equidigital number, since it uses as much as digits as its factorization.

1454002280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 1454002280640 in words is "one trillion, four hundred fifty-four billion, two million, two hundred eighty thousand, six hundred forty".