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4444032124 = 2272349913829
BaseRepresentation
bin1000010001110001…
…01000110001111100
3102110201020020000101
410020320220301330
533100133011444
62012551010444
7215061435610
oct41070506174
912421206011
104444032124
1119805a4124
12a40369a24
1355a90bc0c
143022db340
151b02353d4
hex108e28c7c

4444032124 has 48 divisors (see below), whose sum is σ = 9293760000. Its totient is φ = 1817994816.

The previous prime is 4444032119. The next prime is 4444032127. The reversal of 4444032124 is 4212304444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4444032092 and 4444032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444032127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314442 + ... + 328270.

It is an arithmetic number, because the mean of its divisors is an integer number (193620000).

Almost surely, 24444032124 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 4444032124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646880000).

4444032124 is an abundant number, since it is smaller than the sum of its proper divisors (4849727876).

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

4444032124 is a wasteful number, since it uses less digits than its factorization.

4444032124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362 (or 14360 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4444032124 is about 66663.5741916078. The cubic root of 4444032124 is about 1644.0905378317.

Adding to 4444032124 its reverse (4212304444), we get a palindrome (8656336568).

The spelling of 4444032124 in words is "four billion, four hundred forty-four million, thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 499 644 998 1996 3493 6986 11477 13829 13972 22954 27658 45908 55316 80339 96803 160678 193606 318067 321356 387212 636134 1272268 2226469 4452938 6900671 8905876 13801342 27602684 48304697 96609394 158715433 193218788 317430866 634861732 1111008031 2222016062 4444032124