Search a number
-
+
1980239063040 = 2113457341063
BaseRepresentation
bin11100110100001111011…
…100100010100000000000
321000022100021011020120000
4130310033130202200000
5224421012200004130
64113413111320000
7263032112211660
oct34641734424000
97008307136500
101980239063040
116a38a6365427
1227b94a080000
1311497456cc74
146bbb62381a0
153679d235260
hex1cd0f722800

1980239063040 has 480 divisors, whose sum is σ = 8111784320640. Its totient is φ = 452624744448.

The previous prime is 1980239063027. The next prime is 1980239063069. The reversal of 1980239063040 is 403609320891.

It is a happy number.

1980239063040 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 2 + 3 + 9 + 0 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 5635549 + ... + 5976611.

It is an arithmetic number, because the mean of its divisors is an integer number (16899550668).

Almost surely, 21980239063040 is an apocalyptic number.

1980239063040 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 1980239063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055892160320).

1980239063040 is an abundant number, since it is smaller than the sum of its proper divisors (6131545257600).

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

1980239063040 is an equidigital number, since it uses as much as digits as its factorization.

1980239063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341109 (or 341080 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1980239063040 in words is "one trillion, nine hundred eighty billion, two hundred thirty-nine million, sixty-three thousand, forty".