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4397140440 = 233257211173143
BaseRepresentation
bin1000001100001011…
…10000100111011000
3102100102222212201100
410012011300213120
533001131443230
62004153551400
7213652035300
oct40605604730
912312885640
104397140440
111957086770
12a28715560
13550ca1564
142d9db2600
151ab071660
hex1061709d8

4397140440 has 1152 divisors, whose sum is σ = 20282296320. Its totient is φ = 812851200.

The previous prime is 4397140439. The next prime is 4397140441. The reversal of 4397140440 is 440417934.

It is an interprime number because it is at equal distance from previous prime (4397140439) and next prime (4397140441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4397140395 and 4397140404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4397140441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102259059 + ... + 102259101.

It is an arithmetic number, because the mean of its divisors is an integer number (17606160).

Almost surely, 24397140440 is an apocalyptic number.

4397140440 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 4397140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141148160).

4397140440 is an abundant number, since it is smaller than the sum of its proper divisors (15885155880).

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

4397140440 is a wasteful number, since it uses less digits than its factorization.

4397140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4397140440 is about 66310.9375593499. The cubic root of 4397140440 is about 1638.2874796762.

The spelling of 4397140440 in words is "four billion, three hundred ninety-seven million, one hundred forty thousand, four hundred forty".