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4138627440 = 243517244281
BaseRepresentation
bin1111011010101110…
…0111000101110000
3101200102120001112210
43312223213011300
531433442034230
61522401052120
7204362516133
oct36653470560
911612501483
104138627440
111834169062
12976027040
1350c56b09c
142b391c21a
15193509eb0
hexf6ae7170

4138627440 has 40 divisors (see below), whose sum is σ = 12829745808. Its totient is φ = 1103633920.

The previous prime is 4138627433. The next prime is 4138627457. The reversal of 4138627440 is 447268314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8621901 + ... + 8622380.

Almost surely, 24138627440 is an apocalyptic number.

4138627440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138627440 is an abundant number, since it is smaller than the sum of its proper divisors (8691118368).

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

4138627440 is a wasteful number, since it uses less digits than its factorization.

4138627440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244297 (or 17244291 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4138627440 is about 64332.1648943979. The cubic root of 4138627440 is about 1605.5313038051.

The spelling of 4138627440 in words is "four billion, one hundred thirty-eight million, six hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17244281 34488562 51732843 68977124 86221405 103465686 137954248 172442810 206931372 258664215 275908496 344885620 413862744 517328430 689771240 827725488 1034656860 1379542480 2069313720 4138627440