Search a number
-
+
4300428748000 = 255372113137247
BaseRepresentation
bin111110100101000101100…
…001110010010011100000
3120020010011021101101100211
4332211011201302103200
51030424234224414000
613051331212423504
7622460430142600
oct76450541622340
916203137341324
104300428748000
11140888aa09660
12595550a77b94
132526b46c2a88
1410c1db3aac00
1576ce610a7ba
hex3e9458724e0

4300428748000 has 1728 divisors, whose sum is σ = 14528024469504. Its totient is φ = 1235243520000.

The previous prime is 4300428747991. The next prime is 4300428748003. The reversal of 4300428748000 is 8478240034.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300428748003) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 91498483977 + ... + 91498484023.

It is an arithmetic number, because the mean of its divisors is an integer number (8407421568).

Almost surely, 24300428748000 is an apocalyptic number.

4300428748000 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 4300428748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264012234752).

4300428748000 is an abundant number, since it is smaller than the sum of its proper divisors (10227595721504).

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

4300428748000 is a wasteful number, since it uses less digits than its factorization.

4300428748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 4300428748000 in words is "four trillion, three hundred billion, four hundred twenty-eight million, seven hundred forty-eight thousand".