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4240021212 = 2232729677857
BaseRepresentation
bin1111110010111001…
…1001011011011100
3101221111100101122200
43330232121123130
532140421134322
61540422211500
7210033404610
oct37456313334
911844311580
104240021212
111886421769
129a3b83b90
1352757c0bb
142c3193340
1519c3878ac
hexfcb996dc

4240021212 has 144 divisors (see below), whose sum is σ = 12704852160. Its totient is φ = 1166570496.

The previous prime is 4240021211. The next prime is 4240021217. The reversal of 4240021212 is 2121200424.

4240021212 is a `hidden beast` number, since 42 + 400 + 212 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240021211) 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, 4947088 + ... + 4947944.

It is an arithmetic number, because the mean of its divisors is an integer number (88228140).

Almost surely, 24240021212 is an apocalyptic number.

4240021212 is a gapful number since it is divisible by the number (42) 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 4240021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352426080).

4240021212 is an abundant number, since it is smaller than the sum of its proper divisors (8464830948).

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

4240021212 is a wasteful number, since it uses less digits than its factorization.

4240021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4240021212 is about 65115.4452645453. The cubic root of 4240021212 is about 1618.5371659932.

Adding to 4240021212 its reverse (2121200424), we get a palindrome (6361221636).

The spelling of 4240021212 in words is "four billion, two hundred forty million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 677 812 857 1044 1218 1354 1714 1827 2031 2436 2571 2708 3428 3654 4062 4739 5142 5999 6093 7308 7713 8124 9478 10284 11998 12186 14217 15426 17997 18956 19633 23996 24372 24853 28434 30852 35994 39266 42651 49706 53991 56868 58899 71988 74559 78532 85302 99412 107982 117798 137431 149118 170604 173971 176697 215964 223677 235596 274862 298236 347942 353394 412293 447354 521913 549724 580189 695884 706788 824586 894708 1043826 1160378 1236879 1565739 1649172 1740567 2087652 2320756 2473758 3131478 3481134 4061323 4947516 5221701 6262956 6962268 8122646 10443402 12183969 16245292 16825481 20886804 24367938 33650962 36551907 48735876 50476443 67301924 73103814 100952886 117778367 146207628 151429329 201905772 235556734 302858658 353335101 471113468 605717316 706670202 1060005303 1413340404 2120010606 4240021212