Search a number
-
+
4421255040 = 273252321451
BaseRepresentation
bin1000001111000011…
…01111111110000000
3102102010101000201200
410013201233332000
533023320130130
62010414501200
7214364022246
oct40741577600
912363330650
104421255040
111969757394
12a34804800
13555c95757
142dd28c796
151ad236760
hex10786ff80

4421255040 has 288 divisors, whose sum is σ = 15970794840. Its totient is φ = 1126963200.

The previous prime is 4421255029. The next prime is 4421255081. The reversal of 4421255040 is 405521244.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×44212550402 = 39094992257450803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4421254995 and 4421255013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046315 + ... + 3047765.

Almost surely, 24421255040 is an apocalyptic number.

4421255040 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 4421255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985397420).

4421255040 is an abundant number, since it is smaller than the sum of its proper divisors (11549539800).

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

4421255040 is a wasteful number, since it uses less digits than its factorization.

4421255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4421255040 is about 66492.5186769158. The cubic root of 4421255040 is about 1641.2768957022.

Adding to 4421255040 its reverse (405521244), we get a palindrome (4826776284).

The spelling of 4421255040 in words is "four billion, four hundred twenty-one million, two hundred fifty-five thousand, forty".