Search a number
-
+
421351040000 = 210541125441
BaseRepresentation
bin1100010000110100111…
…10101010010000000000
31111021120200022120201002
412020122132222100000
523400411331240000
6521322131031132
742304320514022
oct6103236522000
91437520276632
10421351040000
1115276a74a800
12697b173b4a8
133096bbb1817
1416571a94012
15ae610878d5
hex621a7aa400

421351040000 has 330 divisors, whose sum is σ = 1157121744702. Its totient is φ = 153190400000.

The previous prime is 421351039999. The next prime is 421351040027. The reversal of 421351040000 is 40153124.

It can be written as a sum of positive squares in 5 ways, for example, as 118269961216 + 303081078784 = 343904^2 + 550528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77437280 + ... + 77442720.

Almost surely, 2421351040000 is an apocalyptic number.

421351040000 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 421351040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578560872351).

421351040000 is an abundant number, since it is smaller than the sum of its proper divisors (735770704702).

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

421351040000 is an equidigital number, since it uses as much as digits as its factorization.

421351040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 421351040000 its reverse (40153124), we get a palindrome (421391193124).

The spelling of 421351040000 in words is "four hundred twenty-one billion, three hundred fifty-one million, forty thousand".