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40158144 = 26321331173
BaseRepresentation
bin1001100100110…
…0001111000000
32210120020121200
42121030033000
540240030034
63552421200
7665224065
oct231141700
983506550
1040158144
1120739454
1211547800
138420820
145494c6c
1537d3a99
hex264c3c0

40158144 has 168 divisors, whose sum is σ = 128698752. Its totient is φ = 11888640.

The previous prime is 40158137. The next prime is 40158169. The reversal of 40158144 is 44185104.

It is a happy number.

40158144 is a `hidden beast` number, since 40 + 1 + 581 + 44 = 666.

It is a super-2 number, since 2×401581442 = 3225353059049472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232042 + ... + 232214.

It is an arithmetic number, because the mean of its divisors is an integer number (766064).

Almost surely, 240158144 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 40158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64349376).

40158144 is an abundant number, since it is smaller than the sum of its proper divisors (88540608).

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

40158144 is a wasteful number, since it uses less digits than its factorization.

40158144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 40158144 is about 6337.0453683085. The cubic root of 40158144 is about 342.4453007289.

The spelling of 40158144 in words is "forty million, one hundred fifty-eight thousand, one hundred forty-four".