Search a number
-
+
4423230081600 = 2635211172893257
BaseRepresentation
bin100000001011101110100…
…0011101100101001000000
3120122212010111202111010120
41000113131003230221000
51034432233400102400
613224000455300240
7634365523226421
oct100273503545100
916585114674116
104423230081600
111455977082110
125b530297a680
13261155083395
1411412a7a3648
157a0d1eb0ca0
hex405dd0eca40

4423230081600 has 1008 divisors, whose sum is σ = 17011343615040. Its totient is φ = 997575884800.

The previous prime is 4423230081559. The next prime is 4423230081601. The reversal of 4423230081600 is 61800323244.

It is a super-2 number, since 2×44232300816002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4423230081601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1358067172 + ... + 1358070428.

Almost surely, 24423230081600 is an apocalyptic number.

4423230081600 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 4423230081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505671807520).

4423230081600 is an abundant number, since it is smaller than the sum of its proper divisors (12588113533440).

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

4423230081600 is a wasteful number, since it uses less digits than its factorization.

4423230081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 4423230081600 in words is "four trillion, four hundred twenty-three billion, two hundred thirty million, eighty-one thousand, six hundred".