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120428259840 = 293457163509
BaseRepresentation
bin111000000101000010…
…1010110101000000000
3102111211212000110120000
41300022011112220000
53433114113303330
6131153551320000
711462216214240
oct1601205265000
9374755013500
10120428259840
1147089682079
121b40b220000
13b482b41865
145b86185b20
1531ec89c560
hex1c0a156a00

120428259840 has 800 divisors, whose sum is σ = 496954085760. Its totient is φ = 27303837696.

The previous prime is 120428259839. The next prime is 120428259851. The reversal of 120428259840 is 48952824021.

120428259840 is a `hidden beast` number, since 12 + 0 + 4 + 2 + 8 + 2 + 598 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 236597506 + ... + 236598014.

Almost surely, 2120428259840 is an apocalyptic number.

120428259840 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 120428259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248477042880).

120428259840 is an abundant number, since it is smaller than the sum of its proper divisors (376525825920).

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

120428259840 is an equidigital number, since it uses as much as digits as its factorization.

120428259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 120428259840 in words is "one hundred twenty billion, four hundred twenty-eight million, two hundred fifty-nine thousand, eight hundred forty".