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40340004012 = 2232721131199337
BaseRepresentation
bin100101100100011100…
…111001110010101100
310212010100211112022200
4211210130321302230
51130104020112022
630310522141500
72625443243100
oct454434716254
9125110745280
1040340004012
11161209760a0
127999951890
133a5b648979
141d497d5900
1510b1798bac
hex964739cac

40340004012 has 432 divisors, whose sum is σ = 134646220800. Its totient is φ = 10059033600.

The previous prime is 40340004011. The next prime is 40340004031. The reversal of 40340004012 is 21040004304.

40340004012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403400040122 (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 not an unprimeable number, because it can be changed into a prime (40340004011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119703108 + ... + 119703444.

Almost surely, 240340004012 is an apocalyptic number.

40340004012 is a gapful number since it is divisible by the number (42) 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 40340004012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67323110400).

40340004012 is an abundant number, since it is smaller than the sum of its proper divisors (94306216788).

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

40340004012 is a wasteful number, since it uses less digits than its factorization.

40340004012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40340004012 its reverse (21040004304), we get a palindrome (61380008316).

The spelling of 40340004012 in words is "forty billion, three hundred forty million, four thousand, twelve".