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4443400038 = 2371123218181
BaseRepresentation
bin1000010001101100…
…01110011101100110
3102110200001002221210
410020312032131212
533100002300123
62012525252250
7215053164030
oct41066163546
912420032853
104443400038
111980202240
12a40104086
1355a74a2bc
143021b4c50
151b015ce93
hex108d8e766

4443400038 has 96 divisors (see below), whose sum is σ = 11582952192. Its totient is φ = 1103889600.

The previous prime is 4443400037. The next prime is 4443400043. The reversal of 4443400038 is 8300043444.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4443399978 and 4443400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443400033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235308 + ... + 253488.

It is an arithmetic number, because the mean of its divisors is an integer number (120655752).

Almost surely, 24443400038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4443400038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791476096).

4443400038 is an abundant number, since it is smaller than the sum of its proper divisors (7139552154).

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

4443400038 is a wasteful number, since it uses less digits than its factorization.

4443400038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4443400038 is about 66658.8331581044. The cubic root of 4443400038 is about 1644.0125864086.

The spelling of 4443400038 in words is "four billion, four hundred forty-three million, four hundred thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 529 759 966 1058 1518 1587 1771 3174 3542 3703 5313 5819 7406 10626 11109 11638 17457 18181 22218 34914 36362 40733 54543 81466 109086 122199 127267 199991 244398 254534 381801 399982 418163 599973 763602 836326 1199946 1254489 1399937 2508978 2799874 2927141 4199811 4599793 5854282 8399622 8781423 9199586 9617749 13799379 17562846 19235498 27598758 28853247 32198551 57706494 64397102 67324243 96595653 105795239 134648486 193191306 201972729 211590478 317385717 403945458 634771434 740566673 1481133346 2221700019 4443400038