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4124042340 = 223511193911
BaseRepresentation
bin1111010111001111…
…1110010001100100
3101122102010001112220
43311303332101210
531421223323330
61521120312340
7204124532025
oct36563762144
911572101486
104124042340
111826a07060
129711726b0
13509532552
142b1a02c4c
151920c8710
hexf5cfe464

4124042340 has 192 divisors, whose sum is σ = 13311406080. Its totient is φ = 946108800.

The previous prime is 4124042339. The next prime is 4124042341. The reversal of 4124042340 is 432404214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4124042339) and next prime (4124042341).

It is a super-2 number, since 2×41240423402 = 34015450444225351200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4124042340.

It is not an unprimeable number, because it can be changed into a prime (4124042341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4526485 + ... + 4527395.

It is an arithmetic number, because the mean of its divisors is an integer number (69330240).

Almost surely, 24124042340 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 4124042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655703040).

4124042340 is an abundant number, since it is smaller than the sum of its proper divisors (9187363740).

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

4124042340 is a wasteful number, since it uses less digits than its factorization.

4124042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4124042340 is about 64218.7070875769. The cubic root of 4124042340 is about 1603.6430451972.

Adding to 4124042340 its reverse (432404214), we get a palindrome (4556446554).

The spelling of 4124042340 in words is "four billion, one hundred twenty-four million, forty-two thousand, three hundred forty".