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1243378275840 = 29325293160029
BaseRepresentation
bin10010000101111111000…
…111101101011000000000
311101212101011120211201100
4102011333013231120000
5130332414314311330
62351111115334400
7155555033651361
oct22057707553000
94355334524640
101243378275840
1143a34a692838
12180b84a51400
1390333527c4c
1444273649b68
1522523088060
hex1217f1ed600

1243378275840 has 480 divisors, whose sum is σ = 4598432467200. Its totient is φ = 309802106880.

The previous prime is 1243378275791. The next prime is 1243378275889. The reversal of 1243378275840 is 485728733421.

It is a happy number.

1243378275840 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 37 + 8 + 27 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1243378275791) and next prime (1243378275889).

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

It is a super-2 number, since 2×12433782758402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20682946 + ... + 20742974.

It is an arithmetic number, because the mean of its divisors is an integer number (9580067640).

Almost surely, 21243378275840 is an apocalyptic number.

1243378275840 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 1243378275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299216233600).

1243378275840 is an abundant number, since it is smaller than the sum of its proper divisors (3355054191360).

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

1243378275840 is a wasteful number, since it uses less digits than its factorization.

1243378275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60118 (or 60099 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1243378275840 in words is "one trillion, two hundred forty-three billion, three hundred seventy-eight million, two hundred seventy-five thousand, eight hundred forty".