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40020440004 = 22321111678889
BaseRepresentation
bin100101010001011001…
…110111001111000100
310211022002111222220200
4211101121313033010
51123430213040004
630215104530500
72614513061436
oct452131671704
9124262458820
1040020440004
1115a77549a06
12790a920a30
133a0a38b03c
141d191ac656
1510936c3239
hex9516773c4

40020440004 has 18 divisors (see below), whose sum is σ = 101162778990. Its totient is φ = 13340146656.

The previous prime is 40020439961. The next prime is 40020440011. The reversal of 40020440004 is 40004402004.

It is a happy number.

40020440004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21949015104 + 18071424900 = 148152^2 + 134430^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×400204400042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555839409 + ... + 555839480.

Almost surely, 240020440004 is an apocalyptic number.

It is an amenable number.

40020440004 is an abundant number, since it is smaller than the sum of its proper divisors (61142338986).

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

40020440004 is a wasteful number, since it uses less digits than its factorization.

40020440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111678899 (or 1111678894 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40020440004 its reverse (40004402004), we get a palindrome (80024842008).

The spelling of 40020440004 in words is "forty billion, twenty million, four hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1111678889 2223357778 3335036667 4446715556 6670073334 10005110001 13340146668 20010220002 40020440004