Search a number
-
+
4423434120000 = 26325471755331
BaseRepresentation
bin100000001011110100100…
…1110000010101101000000
3120122212122201200201012100
41000113221032002231000
51034433143113320000
613224033024430400
7634403551433520
oct100275116025500
916585581621170
104423434120000
111455a71273195
125b535b178400
1326118842286c
14114149917680
157a0e4d66a00
hex405e9382b40

4423434120000 has 420 divisors, whose sum is σ = 18107035968736. Its totient is φ = 1011070080000.

The previous prime is 4423434119989. The next prime is 4423434120031. The reversal of 4423434120000 is 214343244.

It is a happy number.

4423434120000 is a `hidden beast` number, since 4 + 4 + 23 + 434 + 1 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-3 number, since 3×44234341200003 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1642335 + ... + 3397665.

Almost surely, 24423434120000 is an apocalyptic number.

4423434120000 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 4423434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9053517984368).

4423434120000 is an abundant number, since it is smaller than the sum of its proper divisors (13683601848736).

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

4423434120000 is a wasteful number, since it uses less digits than its factorization.

4423434120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755376 (or 1755348 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4423434120000 its reverse (214343244), we get a palindrome (4423648463244).

The spelling of 4423434120000 in words is "four trillion, four hundred twenty-three billion, four hundred thirty-four million, one hundred twenty thousand".