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4947143040 = 27345713633
BaseRepresentation
bin1001001101101111…
…10110100110000000
3110202202220220110000
410212313312212000
540112432034130
62134522240000
7233411010360
oct44667664600
913682826400
104947143040
112109595874
12b60956000
1360ac12c98
1434d0629a0
151de4b5260
hex126df6980

4947143040 has 320 divisors, whose sum is σ = 20192499360. Its totient is φ = 1130692608.

The previous prime is 4947143011. The next prime is 4947143057. The reversal of 4947143040 is 403417494.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 4947142986 and 4947143004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356064 + ... + 369696.

Almost surely, 24947143040 is an apocalyptic number.

4947143040 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 4947143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096249680).

4947143040 is an abundant number, since it is smaller than the sum of its proper divisors (15245356320).

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

4947143040 is a wasteful number, since it uses less digits than its factorization.

4947143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13671 (or 13650 counting only the distinct ones).

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

The square root of 4947143040 is about 70335.9299362708. The cubic root of 4947143040 is about 1703.9289793848.

The spelling of 4947143040 in words is "four billion, nine hundred forty-seven million, one hundred forty-three thousand, forty".