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4242983472000 = 27345371335977
BaseRepresentation
bin111101101111100101100…
…001011100101110000000
3120000121212210222000010000
4331233211201130232000
51024004112232101000
613005111045040000
7615355041305040
oct75574541345600
916017783860100
104242983472000
111396491612549
1258639a6b6000
1324a15b3156c0
1410950bd31720
1575582ce3000
hex3dbe585cb80

4242983472000 has 1280 divisors, whose sum is σ = 19395687991680. Its totient is φ = 895198003200.

The previous prime is 4242983471989. The next prime is 4242983472109. The reversal of 4242983472000 is 2743892424.

It is a happy number.

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

It is a congruent number.

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, 117918012 + ... + 117953988.

Almost surely, 24242983472000 is an apocalyptic number.

4242983472000 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 4242983472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9697843995840).

4242983472000 is an abundant number, since it is smaller than the sum of its proper divisors (15152704519680).

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

4242983472000 is a wasteful number, since it uses less digits than its factorization.

4242983472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36038 (or 36007 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4242983472000 in words is "four trillion, two hundred forty-two billion, nine hundred eighty-three million, four hundred seventy-two thousand".