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1442211420 = 22351315711777
BaseRepresentation
bin101010111110110…
…0110011001011100
310201111202221010210
41111331212121130
510423201231140
6355035332420
750511411006
oct12575463134
93644687123
101442211420
116800aa871
12342bb1110
1319ca3aa50
14d977d376
1586931d80
hex55f6665c

1442211420 has 96 divisors (see below), whose sum is σ = 4376893248. Its totient is φ = 352714752.

The previous prime is 1442211391. The next prime is 1442211437. The reversal of 1442211420 is 241122441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116572 + ... + 128348.

It is an arithmetic number, because the mean of its divisors is an integer number (45592638).

Almost surely, 21442211420 is an apocalyptic number.

1442211420 is a gapful number since it is divisible by the number (10) 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 1442211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188446624).

1442211420 is an abundant number, since it is smaller than the sum of its proper divisors (2934681828).

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

1442211420 is a wasteful number, since it uses less digits than its factorization.

1442211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11959 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1442211420 is about 37976.4587606586. The cubic root of 1442211420 is about 1129.8210017461.

Adding to 1442211420 its reverse (241122441), we get a palindrome (1683333861).

The spelling of 1442211420 in words is "one billion, four hundred forty-two million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 157 195 260 314 390 471 628 780 785 942 1570 1884 2041 2355 3140 4082 4710 6123 8164 9420 10205 11777 12246 20410 23554 24492 30615 35331 40820 47108 58885 61230 70662 117770 122460 141324 153101 176655 235540 306202 353310 459303 612404 706620 765505 918606 1531010 1837212 1848989 2296515 3062020 3697978 4593030 5546967 7395956 9186060 9244945 11093934 18489890 22187868 24036857 27734835 36979780 48073714 55469670 72110571 96147428 110939340 120184285 144221142 240368570 288442284 360552855 480737140 721105710 1442211420