Search a number
-
+
120843623040 = 2735741219301
BaseRepresentation
bin111000010001011010…
…1110101101010000000
3102112220210121002202020
41300202311311222000
53434441431414130
6131303110121440
711505421563540
oct1604265655200
9375823532666
10120843623040
1147282090648
121b506350280
13b51ac01bba
145bc53c9320
153224097e10
hex1c22d75a80

120843623040 has 256 divisors, whose sum is σ = 450955088640. Its totient is φ = 26947584000.

The previous prime is 120843623039. The next prime is 120843623101. The reversal of 120843623040 is 40326348021.

It is a junction number, because it is equal to n+sod(n) for n = 120843622992 and 120843623010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441390 + ... + 660690.

It is an arithmetic number, because the mean of its divisors is an integer number (1761543315).

Almost surely, 2120843623040 is an apocalyptic number.

120843623040 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 120843623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225477544320).

120843623040 is an abundant number, since it is smaller than the sum of its proper divisors (330111465600).

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

120843623040 is a wasteful number, since it uses less digits than its factorization.

120843623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219371 (or 219359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 120843623040 in words is "one hundred twenty billion, eight hundred forty-three million, six hundred twenty-three thousand, forty".