Search a number
-
+
1420031314100 = 225272417068349
BaseRepresentation
bin10100101010100000011…
…101100100100010110100
312000202100102102222121002
4110222200131210202310
5141231211004022400
63004204155142432
7204410462004500
oct24524035444264
95022312388532
101420031314100
114a8260725033
121ab265744a18
13a3ba6926959
144ca30b23300
1526e11a13ed5
hex14aa07648b4

1420031314100 has 108 divisors (see below), whose sum is σ = 3671993688300. Its totient is φ = 474992985600.

The previous prime is 1420031314099. The next prime is 1420031314153. The reversal of 1420031314100 is 14131300241.

It can be written as a sum of positive squares in 6 ways, for example, as 341100385444 + 1078930928656 = 584038^2 + 1038716^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3333275 + ... + 3735074.

Almost surely, 21420031314100 is an apocalyptic number.

1420031314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1420031314100 is an abundant number, since it is smaller than the sum of its proper divisors (2251962374200).

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

1420031314100 is a wasteful number, since it uses less digits than its factorization.

1420031314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068418 (or 7068404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1420031314100 its reverse (14131300241), we get a palindrome (1434162614341).

The spelling of 1420031314100 in words is "one trillion, four hundred twenty billion, thirty-one million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 49 50 70 82 98 100 140 164 175 196 205 245 287 350 410 490 574 700 820 980 1025 1148 1225 1435 2009 2050 2450 2870 4018 4100 4900 5740 7175 8036 10045 14350 20090 28700 40180 50225 100450 200900 7068349 14136698 28273396 35341745 49478443 70683490 98956886 141366980 176708725 197913772 247392215 289802309 346349101 353417450 494784430 579604618 692698202 706834900 989568860 1159209236 1236961075 1385396404 1449011545 1731745505 2028616163 2473922150 2898023090 3463491010 4057232326 4947844300 5796046180 6926982020 7245057725 8114464652 8658727525 10143080815 14200313141 14490115450 17317455050 20286161630 28400626282 28980230900 34634910100 40572323260 50715404075 56801252564 71001565705 101430808150 142003131410 202861616300 284006262820 355007828525 710015657050 1420031314100