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4123004424 = 23371117373547
BaseRepresentation
bin1111010111000000…
…0000111000001000
3101122100011022210120
43311300000320020
531420442120144
61521042143240
7204112650030
oct36560007010
911570138716
104123004424
111826368280
12970951b20
1350925acb6
142b18128c0
15191e70e19
hexf5c00e08

4123004424 has 256 divisors, whose sum is σ = 13978552320. Its totient is φ = 980398080.

The previous prime is 4123004411. The next prime is 4123004447. The reversal of 4123004424 is 4244003214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4123004394 and 4123004403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160619 + ... + 1164165.

It is an arithmetic number, because the mean of its divisors is an integer number (54603720).

Almost surely, 24123004424 is an apocalyptic number.

4123004424 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 4123004424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989276160).

4123004424 is an abundant number, since it is smaller than the sum of its proper divisors (9855547896).

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

4123004424 is a wasteful number, since it uses less digits than its factorization.

4123004424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3624 counting only the distinct ones).

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

The square root of 4123004424 is about 64210.6254758510. The cubic root of 4123004424 is about 1603.5085019271.

Adding to 4123004424 its reverse (4244003214), we get a palindrome (8367007638).

The spelling of 4123004424 in words is "four billion, one hundred twenty-three million, four thousand, four hundred twenty-four".