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40549193424 = 243217139269443
BaseRepresentation
bin100101110000111010…
…111001011011010000
310212122221110110020200
4211300322321123100
51131021043142144
630343353535200
72633563312545
oct456072713320
9125587413220
1040549193424
1116218a65203
127a37a14500
133a92a9c89c
141d694cabcc
1510c4d1ac69
hex970eb96d0

40549193424 has 240 divisors, whose sum is σ = 121745332800. Its totient is φ = 12554440704.

The previous prime is 40549193411. The next prime is 40549193429. The reversal of 40549193424 is 42439194504.

40549193424 is a `hidden beast` number, since 4 + 0 + 54 + 91 + 93 + 424 = 666.

40549193424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40549193424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40549193429) 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, 91532947 + ... + 91533389.

It is an arithmetic number, because the mean of its divisors is an integer number (507272220).

Almost surely, 240549193424 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 40549193424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60872666400).

40549193424 is an abundant number, since it is smaller than the sum of its proper divisors (81196139376).

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

40549193424 is a wasteful number, since it uses less digits than its factorization.

40549193424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40549193424 in words is "forty billion, five hundred forty-nine million, one hundred ninety-three thousand, four hundred twenty-four".