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120489431040 = 212355113171
BaseRepresentation
bin111000000110110111…
…0101101000000000000
3102112000010010021200000
41300031232231000000
53433230243243130
6131204014400000
711463561160026
oct1601556550000
9375003107600
10120489431040
1147110162990
121b427800000
13b49270b934
145b9034a716
153202e32260
hex1c0dbad000

120489431040 has 1248 divisors, whose sum is σ = 494599053312. Its totient is φ = 27869184000.

The previous prime is 120489431017. The next prime is 120489431059. The reversal of 120489431040 is 40134984021.

It is a happy number.

120489431040 is a `hidden beast` number, since 120 + 489 + 4 + 3 + 10 + 40 = 666.

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 = 120489430986 and 120489431004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1697034205 + ... + 1697034275.

It is an arithmetic number, because the mean of its divisors is an integer number (396313344).

Almost surely, 2120489431040 is an apocalyptic number.

120489431040 is a gapful number since it is divisible by the number (10) 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 120489431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247299526656).

120489431040 is an abundant number, since it is smaller than the sum of its proper divisors (374109622272).

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

120489431040 is an equidigital number, since it uses as much as digits as its factorization.

120489431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 120489431040 in words is "one hundred twenty billion, four hundred eighty-nine million, four hundred thirty-one thousand, forty".