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4323234228480 = 28355412631289
BaseRepresentation
bin111110111010010100110…
…101110010100100000000
3120022022000121220211100000
4332322110311302210000
51031312440430302410
613110022201200000
7624225526422066
oct76722465624400
916268017824300
104323234228480
111417523019692
12599a56490000
132548aa39631b
1410d362102036
15776cd2e4dc0
hex3ee94d72900

4323234228480 has 864 divisors, whose sum is σ = 15963071604480. Its totient is φ = 1119598018560.

The previous prime is 4323234228479. The next prime is 4323234228487. The reversal of 4323234228480 is 848224323234.

It is a happy number.

4323234228480 is a `hidden beast` number, since 4 + 3 + 2 + 323 + 42 + 284 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×43232342284802 (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 not an unprimeable number, because it can be changed into a prime (4323234228487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3353943676 + ... + 3353944964.

It is an arithmetic number, because the mean of its divisors is an integer number (18475777320).

Almost surely, 24323234228480 is an apocalyptic number.

4323234228480 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 4323234228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981535802240).

4323234228480 is an abundant number, since it is smaller than the sum of its proper divisors (11639837376000).

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

4323234228480 is a wasteful number, since it uses less digits than its factorization.

4323234228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 4323234228480 in words is "four trillion, three hundred twenty-three billion, two hundred thirty-four million, two hundred twenty-eight thousand, four hundred eighty".