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4320071712 = 253311231243
BaseRepresentation
bin1000000010111111…
…10001000000100000
3102011001222101022000
410001133301000200
532321414243322
61552402044000
7212025001155
oct40137610040
912131871260
104320071712
111917627900
12a06949600
1353b029468
142cda7022c
151a43eb3ac
hex1017f1020

4320071712 has 432 divisors, whose sum is σ = 14643810720. Its totient is φ = 1237420800.

The previous prime is 4320071683. The next prime is 4320071747. The reversal of 4320071712 is 2171700234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×43200717122 = 37326039193645221888, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100466763 + ... + 100466805.

It is an arithmetic number, because the mean of its divisors is an integer number (33897710).

Almost surely, 24320071712 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 4320071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321905360).

4320071712 is an abundant number, since it is smaller than the sum of its proper divisors (10323739008).

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

4320071712 is a wasteful number, since it uses less digits than its factorization.

4320071712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4320071712 is about 65727.2524300233. The cubic root of 4320071712 is about 1628.6595817736.

Adding to 4320071712 its reverse (2171700234), we get a palindrome (6491771946).

The spelling of 4320071712 in words is "four billion, three hundred twenty million, seventy-one thousand, seven hundred twelve".