Search a number
-
+
4234440211320 = 233511191571075397
BaseRepresentation
bin111101100111101000010…
…011011111101101111000
3112222210211102022101122210
4331213220103133231320
51023334113143230240
613001135221215120
7614633242632354
oct75475023375570
915883742271583
104234440211320
1113928a8120330
125847b55614a0
132493c9381777
14108d3b450464
1575232c86780
hex3d9e84dfb78

4234440211320 has 256 divisors, whose sum is σ = 14680473177600. Its totient is φ = 966307829760.

The previous prime is 4234440211319. The next prime is 4234440211439. The reversal of 4234440211320 is 231120444324.

It is a super-2 number, since 2×42344402113202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3399862 + ... + 4475258.

It is an arithmetic number, because the mean of its divisors is an integer number (57345598350).

Almost surely, 24234440211320 is an apocalyptic number.

4234440211320 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 4234440211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340236588800).

4234440211320 is an abundant number, since it is smaller than the sum of its proper divisors (10446032966280).

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

4234440211320 is a wasteful number, since it uses less digits than its factorization.

4234440211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075598 (or 1075594 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4234440211320 its reverse (231120444324), we get a palindrome (4465560655644).

The spelling of 4234440211320 in words is "four trillion, two hundred thirty-four billion, four hundred forty million, two hundred eleven thousand, three hundred twenty".