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1238272842240 = 2934574120807
BaseRepresentation
bin10010000001001110110…
…100000001101000000000
311101101012100210221110000
4102001032310001220000
5130241440321422430
62344504340240000
7155314361331330
oct22011664015000
94341170727400
101238272842240
1143816a812a25
1217bb9b0a0000
138c9cb8a2615
1443d0b5810c0
1522324c56e60
hex1204ed01a00

1238272842240 has 800 divisors, whose sum is σ = 5192564154624. Its totient is φ = 276117258240.

The previous prime is 1238272842227. The next prime is 1238272842241. The reversal of 1238272842240 is 422482728321.

It is a happy number.

1238272842240 is a `hidden beast` number, since 1 + 2 + 382 + 7 + 28 + 4 + 2 + 240 = 666.

It is a super-3 number, since 3×12382728422403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1238272842241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59501917 + ... + 59522723.

Almost surely, 21238272842240 is an apocalyptic number.

1238272842240 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 1238272842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596282077312).

1238272842240 is an abundant number, since it is smaller than the sum of its proper divisors (3954291312384).

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

1238272842240 is an equidigital number, since it uses as much as digits as its factorization.

1238272842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20890 (or 20865 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 1238272842240 in words is "one trillion, two hundred thirty-eight billion, two hundred seventy-two million, eight hundred forty-two thousand, two hundred forty".