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4130844480 = 2635577589
BaseRepresentation
bin1111011000110111…
…1010111101000000
3101122212220122100000
43312031322331000
531424444010410
61521522200000
7204236412240
oct36615727500
911585818300
104130844480
11182a832664
129734b3000
1350aa74699
142b2893b20
151929bddc0
hexf637af40

4130844480 has 336 divisors, whose sum is σ = 16841784960. Its totient is φ = 944068608.

The previous prime is 4130844439. The next prime is 4130844481. The reversal of 4130844480 is 844480314.

4130844480 is a `hidden beast` number, since 4 + 130 + 8 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×41308444802 = 34127752235892940800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130844481) 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, 540526 + ... + 548114.

It is an arithmetic number, because the mean of its divisors is an integer number (50124360).

Almost surely, 24130844480 is an apocalyptic number.

4130844480 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 4130844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420892480).

4130844480 is an abundant number, since it is smaller than the sum of its proper divisors (12710940480).

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

4130844480 is an equidigital number, since it uses as much as digits as its factorization.

4130844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4130844480 is about 64271.6460035061. The cubic root of 4130844480 is about 1604.5242366603.

The spelling of 4130844480 in words is "four billion, one hundred thirty million, eight hundred forty-four thousand, four hundred eighty".