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2144330412 = 223729372643
BaseRepresentation
bin111111111001111…
…1110001010101100
312112102221021022220
41333303332022230
513342422033122
6552440235340
7104065336110
oct17763761254
95472837286
102144330412
11a004671a4
124ba16bb50
1328233c783
14164b09740
15c83c225c
hex7fcfe2ac

2144330412 has 144 divisors (see below), whose sum is σ = 6089045760. Its totient is φ = 574656768.

The previous prime is 2144330393. The next prime is 2144330429. The reversal of 2144330412 is 2140334412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3334563 + ... + 3335205.

It is an arithmetic number, because the mean of its divisors is an integer number (42285040).

Almost surely, 22144330412 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 2144330412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044522880).

2144330412 is an abundant number, since it is smaller than the sum of its proper divisors (3944715348).

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

2144330412 is a wasteful number, since it uses less digits than its factorization.

2144330412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2144330412 is about 46306.9153798868. The cubic root of 2144330412 is about 1289.5273817021.

Adding to 2144330412 its reverse (2140334412), we get a palindrome (4284664824).

The spelling of 2144330412 in words is "two billion, one hundred forty-four million, three hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 58 74 84 87 111 116 148 174 203 222 259 348 406 444 518 609 643 777 812 1036 1073 1218 1286 1369 1554 1929 2146 2436 2572 2738 3108 3219 3858 4107 4292 4501 5476 6438 7511 7716 8214 9002 9583 12876 13503 15022 16428 18004 18647 19166 22533 23791 27006 28749 30044 37294 38332 39701 45066 47582 54012 55941 57498 71373 74588 79402 90132 95164 111882 114996 119103 130529 142746 158804 166537 223764 238206 261058 277907 285492 333074 391587 476412 499611 522116 555814 666148 689939 783174 833721 880267 999222 1111628 1379878 1566348 1667442 1760534 1998444 2069817 2640801 2759756 3334884 3521068 4139634 4829573 5281602 6161869 8279268 9659146 10563204 12323738 14488719 18485607 19318292 24647476 25527743 28977438 36971214 51055486 57954876 73942428 76583229 102110972 153166458 178694201 306332916 357388402 536082603 714776804 1072165206 2144330412