Search a number
-
+
421443334440000 = 2632541170675929
BaseRepresentation
bin101111111010011001110110…
…0001111100000010001000000
32001021012120220121010001112200
41133310303230033200101000
5420214411422104040000
64052200221155153200
7154525163464200435
oct13764635417402100
92037176817101480
10421443334440000
111123151293170a4
123b32665bba5800
1315120c2226b112
14760dd75461b8c
1533aca95713500
hex17f4cec3e0440

421443334440000 has 210 divisors, whose sum is σ = 1509505835095830. Its totient is φ = 112384889088000.

The previous prime is 421443334439989. The next prime is 421443334440013. The reversal of 421443334440000 is 44433344124.

421443334440000 is a `hidden beast` number, since 4 + 214 + 4 + 3 + 3 + 34 + 4 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 297875566301184 + 123567768138816 = 17259072^2 + 11116104^2 .

It is a super-2 number, since 2×4214433344400002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 584977965 + ... + 585697964.

Almost surely, 2421443334440000 is an apocalyptic number.

421443334440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421443334440000 is an abundant number, since it is smaller than the sum of its proper divisors (1088062500655830).

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

421443334440000 is a wasteful number, since it uses less digits than its factorization.

421443334440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170675967 (or 1170675939 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 421443334440000 its reverse (44433344124), we get a palindrome (421487767784124).

The spelling of 421443334440000 in words is "four hundred twenty-one trillion, four hundred forty-three billion, three hundred thirty-four million, four hundred forty thousand".