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1243740040704 = 29337411312393
BaseRepresentation
bin10010000110010100101…
…011101110111000000000
311101220022101022101211000
4102012110223232320000
5130334134422300304
62351211041252000
7155600015625420
oct22062453567000
94356271271730
101243740040704
1143a515913067
12181066034000
13903904700b5
14442a96da480
1522544be7939
hex12194aeee00

1243740040704 has 640 divisors, whose sum is σ = 4344831912960. Its totient is φ = 343896883200.

The previous prime is 1243740040687. The next prime is 1243740040721. The reversal of 1243740040704 is 4070400473421.

It is a happy number.

1243740040704 is a `hidden beast` number, since 1 + 243 + 7 + 4 + 0 + 0 + 407 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1243740040687) and next prime (1243740040721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 519739732 + ... + 519742124.

It is an arithmetic number, because the mean of its divisors is an integer number (6788799864).

Almost surely, 21243740040704 is an apocalyptic number.

1243740040704 is a gapful number since it is divisible by the number (14) 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 1243740040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172415956480).

1243740040704 is an abundant number, since it is smaller than the sum of its proper divisors (3101091872256).

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

1243740040704 is a wasteful number, since it uses less digits than its factorization.

1243740040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 1243740040704 in words is "one trillion, two hundred forty-three billion, seven hundred forty million, forty thousand, seven hundred four".