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40002000040 = 2351000050001
BaseRepresentation
bin100101010000010011…
…100001010010101000
310211020210211011001001
4211100103201102220
51123411003000130
630213205404344
72614200250552
oct452023412250
9124223734031
1040002000040
1115a680a4772
1279047096b4
133a06602a12
141d1696c4d2
151091c7e6ca
hex9504e14a8

40002000040 has 16 divisors (see below), whose sum is σ = 90004500180. Its totient is φ = 16000800000.

The previous prime is 40002000029. The next prime is 40002000061. The reversal of 40002000040 is 4000020004.

It can be written as a sum of positive squares in 2 ways, for example, as 39401456004 + 600544036 = 198498^2 + 24506^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 40001999990 and 40002000026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500024961 + ... + 500025040.

Almost surely, 240002000040 is an apocalyptic number.

40002000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40002000040 is an abundant number, since it is smaller than the sum of its proper divisors (50002500140).

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

40002000040 is a wasteful number, since it uses less digits than its factorization.

40002000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000050012 (or 1000050008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 40002000040 its reverse (4000020004), we get a palindrome (44002020044).

The spelling of 40002000040 in words is "forty billion, two million, forty", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 5 8 10 20 40 1000050001 2000100002 4000200004 5000250005 8000400008 10000500010 20001000020 40002000040