Search a number
-
+
1384927444992 = 214373137189
BaseRepresentation
bin10100001001110100000…
…110111100000000000000
311220101201222022200000210
4110021310012330000000
5140142312411214432
62540121001314120
7202025536023000
oct24116406740000
94811658280023
101384927444992
1149438748a663
121a44a9495940
13a07a1036380
144b0608da000
1526059cb78cc
hex142741bc000

1384927444992 has 960 divisors, whose sum is σ = 4756195584000. Its totient is φ = 356064952320.

The previous prime is 1384927444991. The next prime is 1384927444993. The reversal of 1384927444992 is 2994447294831.

It is an interprime number because it is at equal distance from previous prime (1384927444991) and next prime (1384927444993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384927444991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15560982484 + ... + 15560982572.

It is an arithmetic number, because the mean of its divisors is an integer number (4954370400).

Almost surely, 21384927444992 is an apocalyptic number.

1384927444992 is a gapful number since it is divisible by the number (12) 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 1384927444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378097792000).

1384927444992 is an abundant number, since it is smaller than the sum of its proper divisors (3371268139008).

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

1384927444992 is an frugal number, since it uses more digits than its factorization.

1384927444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 1384927444992 in words is "one trillion, three hundred eighty-four billion, nine hundred twenty-seven million, four hundred forty-four thousand, nine hundred ninety-two".