Search a number
-
+
2102151025440 = 253251459827101
BaseRepresentation
bin11110100101110001111…
…101110001001100100000
321102222000112000121101200
4132211301331301030200
5233420201130303230
64245414224001200
7304606155615534
oct36456175611440
97388015017350
102102151025440
117405764a6164
1229b4b2160200
131233028b8a1b
1473a5d47dbc4
1539a35ead160
hex1e971f71320

2102151025440 has 72 divisors (see below), whose sum is σ = 7173590379228. Its totient is φ = 560573606400.

The previous prime is 2102151025421. The next prime is 2102151025451. The reversal of 2102151025440 is 445201512012.

It is a happy number.

2102151025440 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 15 + 102 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2081106300816 + 21044724624 = 1442604^2 + 145068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729912111 + ... + 729914990.

Almost surely, 22102151025440 is an apocalyptic number.

2102151025440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102151025440 is an abundant number, since it is smaller than the sum of its proper divisors (5071439353788).

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

2102151025440 is a wasteful number, since it uses less digits than its factorization.

2102151025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459827122 (or 1459827111 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 2102151025440 its reverse (445201512012), we get a palindrome (2547352537452).

The spelling of 2102151025440 in words is "two trillion, one hundred two billion, one hundred fifty-one million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1459827101 2919654202 4379481303 5839308404 7299135505 8758962606 11678616808 13138443909 14598271010 17517925212 21897406515 23357233616 26276887818 29196542020 35035850424 43794813030 46714467232 52553775636 58393084040 65692219545 70071700848 87589626060 105107551272 116786168080 131384439090 140143401696 175179252120 210215102544 233572336160 262768878180 350358504240 420430205088 525537756360 700717008480 1051075512720 2102151025440