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4444014030 = 2351747397467
BaseRepresentation
bin1000010001110001…
…00100010111001110
3102110201012022012020
410020320210113032
533100131422110
62012550351010
7215061332061
oct41070442716
912421168166
104444014030
111980591575
12a4035b466
1355a903901
143022d48d8
151b022ed70
hex108e245ce

4444014030 has 128 divisors (see below), whose sum is σ = 11587110912. Its totient is φ = 1086547968.

The previous prime is 4444014011. The next prime is 4444014053. The reversal of 4444014030 is 304104444.

It is a congruent number.

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, 9515857 + ... + 9516323.

It is an arithmetic number, because the mean of its divisors is an integer number (90524304).

Almost surely, 24444014030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793555456).

4444014030 is an abundant number, since it is smaller than the sum of its proper divisors (7143096882).

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

4444014030 is a wasteful number, since it uses less digits than its factorization.

4444014030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938.

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

The square root of 4444014030 is about 66663.4384801744. The cubic root of 4444014030 is about 1644.0883065086.

Adding to 4444014030 its reverse (304104444), we get a palindrome (4748118474).

The spelling of 4444014030 in words is "four billion, four hundred forty-four million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 397 467 470 510 705 794 799 934 1191 1401 1410 1598 1985 2335 2382 2397 2802 3970 3995 4670 4794 5955 6749 7005 7939 7990 11910 11985 13498 14010 15878 18659 20247 21949 23817 23970 33745 37318 39695 40494 43898 47634 55977 65847 67490 79390 93295 101235 109745 111954 119085 131694 185399 186590 202470 219490 238170 279885 317203 329235 370798 373133 556197 559770 634406 658470 746266 926995 951609 1112394 1119399 1586015 1853990 1865665 1903218 2238798 2780985 3151783 3172030 3731330 4758045 5561970 5596995 6303566 8713753 9455349 9516090 11193990 15758915 17427506 18910698 26141259 31517830 43568765 47276745 52282518 87137530 94553490 130706295 148133801 261412590 296267602 444401403 740669005 888802806 1481338010 2222007015 4444014030