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4461232140 = 223651741439
BaseRepresentation
bin1000010011110100…
…10000000000001100
3102111220121002000000
410021322100000030
533114033412030
62014403404300
7215360563461
oct41172200014
912456532000
104461232140
11198a281812
12a46083690
13561351a41
143046d7668
151b19d1860
hex109e9000c

4461232140 has 336 divisors, whose sum is σ = 15270171840. Its totient is φ = 1089884160.

The previous prime is 4461232109. The next prime is 4461232141. The reversal of 4461232140 is 412321644.

It is a happy number.

4461232140 is a `hidden beast` number, since 4 + 4 + 612 + 3 + 2 + 1 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4461232141) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10162041 + ... + 10162479.

It is an arithmetic number, because the mean of its divisors is an integer number (45446940).

Almost surely, 24461232140 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 4461232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635085920).

4461232140 is an abundant number, since it is smaller than the sum of its proper divisors (10808939700).

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

4461232140 is a wasteful number, since it uses less digits than its factorization.

4461232140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4461232140 is about 66792.4557117044. The cubic root of 4461232140 is about 1646.2088827999.

Adding to 4461232140 its reverse (412321644), we get a palindrome (4873553784).

The spelling of 4461232140 in words is "four billion, four hundred sixty-one million, two hundred thirty-two thousand, one hundred forty".