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4243962522240 = 27345789331397
BaseRepresentation
bin111101110000011111111…
…000001110101010000000
3120000201102001012220120000
4331300133320032222000
51024013113401202430
613005352141320000
7615421230142650
oct75603770165200
916021361186500
104243962522240
111396944227481
12586612566000
1324a2860c907c
141095a1d88360
15755ddc36e60
hex3dc1fe0ea80

4243962522240 has 1280 divisors, whose sum is σ = 17612883129600. Its totient is φ = 953842728960.

The previous prime is 4243962522209. The next prime is 4243962522259. The reversal of 4243962522240 is 422252693424.

It is a happy number.

4243962522240 is a `hidden beast` number, since 4 + 2 + 4 + 396 + 252 + 2 + 2 + 4 + 0 = 666.

4243962522240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42439625222402 (a number of 26 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 10690081722 + ... + 10690082118.

It is an arithmetic number, because the mean of its divisors is an integer number (13760064945).

Almost surely, 24243962522240 is an apocalyptic number.

4243962522240 is a gapful number since it is divisible by the number (40) 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 4243962522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806441564800).

4243962522240 is an abundant number, since it is smaller than the sum of its proper divisors (13368920607360).

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

4243962522240 is a wasteful number, since it uses less digits than its factorization.

4243962522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4243962522240 in words is "four trillion, two hundred forty-three billion, nine hundred sixty-two million, five hundred twenty-two thousand, two hundred forty".