Search a number
-
+
4941112320 = 210335311153
BaseRepresentation
bin1001001101000001…
…10110010000000000
3110202100120111212000
410212200312100000
540104411043240
62134145104000
7233305522164
oct44640662000
913670514760
104941112320
112106146901
12b5a928000
136098b1001
1434c332ca4
151ddbc3430
hex126836400

4941112320 has 352 divisors, whose sum is σ = 18141987840. Its totient is φ = 1274019840.

The previous prime is 4941112313. The next prime is 4941112343. The reversal of 4941112320 is 232111494.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4284864 + ... + 4286016.

Almost surely, 24941112320 is an apocalyptic number.

4941112320 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 4941112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070993920).

4941112320 is an abundant number, since it is smaller than the sum of its proper divisors (13200875520).

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

4941112320 is a wasteful number, since it uses less digits than its factorization.

4941112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4941112320 is about 70293.0460287502. The cubic root of 4941112320 is about 1703.2363171839.

The spelling of 4941112320 in words is "four billion, nine hundred forty-one million, one hundred twelve thousand, three hundred twenty".