Search a number
-
+
457214423040 = 212335826849
BaseRepresentation
bin1101010011101000001…
…10100111000000000000
31121201011001121012112000
412221310012213000000
524442333343014130
6550012535504000
745014125321044
oct6516406470000
91551131535460
10457214423040
111669a3693241
1274740228000
1334165c4b12b
14181b4b08024
15bd5e810260
hex6a741a7000

457214423040 has 208 divisors, whose sum is σ = 1625454804000. Its totient is φ = 121923698688.

The previous prime is 457214423027. The next prime is 457214423077. The reversal of 457214423040 is 40324412754.

457214423040 is a `hidden beast` number, since 4 + 572 + 1 + 4 + 42 + 3 + 0 + 40 = 666.

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 = 457214422986 and 457214423004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139536 + ... + 966384.

Almost surely, 2457214423040 is an apocalyptic number.

457214423040 is a gapful number since it is divisible by the number (40) 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 457214423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812727402000).

457214423040 is an abundant number, since it is smaller than the sum of its proper divisors (1168240380960).

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

457214423040 is an equidigital number, since it uses as much as digits as its factorization.

457214423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826887 (or 826859 counting only the distinct ones).

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

Adding to 457214423040 its reverse (40324412754), we get a palindrome (497538835794).

The spelling of 457214423040 in words is "four hundred fifty-seven billion, two hundred fourteen million, four hundred twenty-three thousand, forty".