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4140739440 = 24355316871
BaseRepresentation
bin1111011011001110…
…1010101101110000
3101200120112100200000
43312303222231300
531440012130230
61522514230000
7204416463435
oct36663525560
911616470600
104140739440
111835380912
12976885300
1350cb2a4a6
142b3d0bb8c
151937c5b60
hexf6ceab70

4140739440 has 240 divisors, whose sum is σ = 14888380416. Its totient is φ = 1068422400.

The previous prime is 4140739423. The next prime is 4140739489. The reversal of 4140739440 is 449370414.

4140739440 is a `hidden beast` number, since 4 + 140 + 73 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4140739395 and 4140739404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599205 + ... + 606075.

Almost surely, 24140739440 is an apocalyptic number.

4140739440 is a gapful number since it is divisible by the number (40) 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 4140739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444190208).

4140739440 is an abundant number, since it is smaller than the sum of its proper divisors (10747640976).

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

4140739440 is a wasteful number, since it uses less digits than its factorization.

4140739440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4140739440 is about 64348.5776066573. The cubic root of 4140739440 is about 1605.8043657902.

The spelling of 4140739440 in words is "four billion, one hundred forty million, seven hundred thirty-nine thousand, four hundred forty".