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4260225024 = 213331117103
BaseRepresentation
bin1111110111101101…
…1110000000000000
3101222220100212002000
43331323132000000
532211104200044
61542423224000
7210400213056
oct37573360000
911886325060
104260225024
111896871130
129aa8a8000
1352b804213
142c5b321d6
1519e028d69
hexfdede000

4260225024 has 448 divisors, whose sum is σ = 14721108480. Its totient is φ = 1203240960.

The previous prime is 4260225017. The next prime is 4260225037. The reversal of 4260225024 is 4205220624.

It is a happy number.

4260225024 is a `hidden beast` number, since 4 + 2 + 602 + 2 + 50 + 2 + 4 = 666.

4260225024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 41361357 + ... + 41361459.

Almost surely, 24260225024 is an apocalyptic number.

4260225024 is a gapful number since it is divisible by the number (44) 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 4260225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360554240).

4260225024 is an abundant number, since it is smaller than the sum of its proper divisors (10460883456).

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

4260225024 is a wasteful number, since it uses less digits than its factorization.

4260225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4260225024 is about 65270.3992940138. The cubic root of 4260225024 is about 1621.1038841199.

Adding to 4260225024 its reverse (4205220624), we get a palindrome (8465445648).

The spelling of 4260225024 in words is "four billion, two hundred sixty million, two hundred twenty-five thousand, twenty-four".