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4331330144 = 254311232803
BaseRepresentation
bin1000000100010101…
…01101101001100000
3102011212011100221222
410002022231221200
532332310031034
61553443234212
7212222461451
oct40212555140
912155140858
104331330144
111922a17499
12a0a678968
1354046ba5b
142d1361128
151a53c212e
hex1022ada60

4331330144 has 48 divisors (see below), whose sum is σ = 8736501312. Its totient is φ = 2112663168.

The previous prime is 4331330093. The next prime is 4331330153. The reversal of 4331330144 is 4410331334.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543847 + ... + 1546649.

It is an arithmetic number, because the mean of its divisors is an integer number (182010444).

Almost surely, 24331330144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368250656).

4331330144 is an abundant number, since it is smaller than the sum of its proper divisors (4405171168).

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

4331330144 is a wasteful number, since it uses less digits than its factorization.

4331330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 4331330144 is about 65812.8417863869. The cubic root of 4331330144 is about 1630.0731576685.

Adding to 4331330144 its reverse (4410331334), we get a palindrome (8741661478).

The spelling of 4331330144 in words is "four billion, three hundred thirty-one million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1123 1376 2246 2803 4492 5606 8984 11212 17968 22424 35936 44848 48289 89696 96578 120529 193156 241058 386312 482116 772624 964232 1545248 1928464 3147769 3856928 6295538 12591076 25182152 50364304 100728608 135354067 270708134 541416268 1082832536 2165665072 4331330144