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40414043220 = 2235173472917
BaseRepresentation
bin100101101000110111…
…010101110001010100
310212022112011010000120
4211220313111301110
51130231443340340
630322125111540
72630332461615
oct455067256124
9125275133016
1040414043220
1116159745921
1279ba6b85b0
133a70a9cb55
141d55589c0c
1510b80214d0
hex968dd5c54

40414043220 has 192 divisors, whose sum is σ = 122830525440. Its totient is φ = 9923917824.

The previous prime is 40414043179. The next prime is 40414043227. The reversal of 40414043220 is 2234041404.

It is a happy number.

40414043220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414043227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13853202 + ... + 13856118.

It is an arithmetic number, because the mean of its divisors is an integer number (639742320).

Almost surely, 240414043220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415262720).

40414043220 is an abundant number, since it is smaller than the sum of its proper divisors (82416482220).

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

40414043220 is a wasteful number, since it uses less digits than its factorization.

40414043220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40414043220 its reverse (2234041404), we get a palindrome (42648084624).

The spelling of 40414043220 in words is "forty billion, four hundred fourteen million, forty-three thousand, two hundred twenty".