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40543101144 = 233271323269039
BaseRepresentation
bin100101110000100011…
…101010000011011000
310212122111222221012200
4211300203222003120
51131013013214034
630343015210200
72633460450030
oct456043520330
9125574887180
1040543101144
1116215583a67
127a35976960
133a917488a0
141d687828c0
1510c4515a99
hex9708ea0d8

40543101144 has 192 divisors, whose sum is σ = 141020006400. Its totient is φ = 10227748608.

The previous prime is 40543101139. The next prime is 40543101149. The reversal of 40543101144 is 44110134504.

40543101144 is a `hidden beast` number, since 4 + 0 + 543 + 1 + 0 + 114 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (40543101139) and next prime (40543101149).

It is a super-2 number, since 2×405431011442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40543101149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16177 + ... + 285215.

It is an arithmetic number, because the mean of its divisors is an integer number (734479200).

Almost surely, 240543101144 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 40543101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70510003200).

40543101144 is an abundant number, since it is smaller than the sum of its proper divisors (100476905256).

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

40543101144 is a wasteful number, since it uses less digits than its factorization.

40543101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269094 (or 269087 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 40543101144 its reverse (44110134504), we get a palindrome (84653235648).

The spelling of 40543101144 in words is "forty billion, five hundred forty-three million, one hundred one thousand, one hundred forty-four".