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4230947821440 = 27353792964109
BaseRepresentation
bin111101100100011000001…
…001000101011110000000
3112222110211000202121101110
4331210120021011132000
51023304440120241230
612555400503203320
7614450555046564
oct75443011053600
915873730677343
104230947821440
1113913758210aa
12583b9ba46540
13248c9097ac92
14108ac96b36a4
15750cb37e4b0
hex3d918245780

4230947821440 has 256 divisors, whose sum is σ = 13865762088000. Its totient is φ = 1096560672768.

The previous prime is 4230947821439. The next prime is 4230947821481. The reversal of 4230947821440 is 441287490324.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4230947821440.

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 31 ways as a sum of consecutive naturals, for example, 65964106 + ... + 66028214.

Almost surely, 24230947821440 is an apocalyptic number.

4230947821440 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 4230947821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932881044000).

4230947821440 is an abundant number, since it is smaller than the sum of its proper divisors (9634814266560).

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

4230947821440 is a wasteful number, since it uses less digits than its factorization.

4230947821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65097 (or 65085 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 4230947821440 in words is "four trillion, two hundred thirty billion, nine hundred forty-seven million, eight hundred twenty-one thousand, four hundred forty".