Search a number
-
+
4212142203444 = 2237128358436689
BaseRepresentation
bin111101010010110111001…
…111010110001000110100
3112220200021102200020020020
4331102313033112020310
51023002431401002234
612543010441405140
7613213544662140
oct75226717261064
915820242606206
104212142203444
1113843a5510a4a
12580411a997b0
1324728487b676
14107c23c98220
157487a3de549
hex3d4b73d6234

4212142203444 has 96 divisors (see below), whose sum is σ = 11244738677760. Its totient is φ = 1202145635328.

The previous prime is 4212142203431. The next prime is 4212142203463. The reversal of 4212142203444 is 4443022412124.

It is a super-2 number, since 2×42121422034442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629708452 + ... + 629715140.

It is an arithmetic number, because the mean of its divisors is an integer number (117132694560).

Almost surely, 24212142203444 is an apocalyptic number.

It is an amenable number.

4212142203444 is an abundant number, since it is smaller than the sum of its proper divisors (7032596474316).

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

4212142203444 is a wasteful number, since it uses less digits than its factorization.

4212142203444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829 (or 13827 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4212142203444 its reverse (4443022412124), we get a palindrome (8655164615568).

The spelling of 4212142203444 in words is "four trillion, two hundred twelve billion, one hundred forty-two million, two hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1283 2566 3849 5132 5843 6689 7698 8981 11686 13378 15396 17529 17962 20067 23372 26756 26943 35058 35924 40134 40901 46823 53886 70116 80268 81802 93646 107772 122703 140469 163604 187292 245406 280938 490812 561876 7496569 8581987 14993138 17163974 22489707 25745961 29986276 34327948 39083827 44979414 51491922 52475983 60073909 78167654 89958828 102983844 104951966 117251481 120147818 156335308 157427949 180221727 209903932 234502962 240295636 273586789 314855898 360443454 469005924 547173578 629711796 720886908 820760367 1094347156 1641520734 3283041468 50144550041 100289100082 150433650123 200578200164 300867300246 351011850287 601734600492 702023700574 1053035550861 1404047401148 2106071101722 4212142203444