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2402382201444 = 2236287032
BaseRepresentation
bin100010111101011001001…
…000110100001001100100
322111122222010221121000000
4202331121020310021210
5303330034320421234
65035350020021300
7335365161532551
oct42753110641144
98448863847000
102402382201444
11846932139405
12329720b31830
1314570b598c64
14843c119ba28
1542758ad3899
hex22f59234264

2402382201444 has 63 divisors (see below), whose sum is σ = 6303589375363. Its totient is φ = 800766167832.

The previous prime is 2402382201421. The next prime is 2402382201511. The reversal of 2402382201444 is 4441022832042.

The square root of 2402382201444 is 1549962.

It is a perfect power (a square), and thus also a powerful number.

2402382201444 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 3 + 8 + 2 + 201 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2402382201399 and 2402382201408.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 83683597 + ... + 83712299.

Almost surely, 22402382201444 is an apocalyptic number.

2402382201444 is the 1549962-nd square number.

It is an amenable number.

2402382201444 is an abundant number, since it is smaller than the sum of its proper divisors (3901207173919).

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

2402382201444 is an frugal number, since it uses more digits than its factorization.

2402382201444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57428 (or 28708 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Multiplying 2402382201444 by its sum of digits (36), we get a square (86485759251984 = 92997722).

2402382201444 divided by its sum of digits (36) gives a square (66732838929 = 2583272).

The spelling of 2402382201444 in words is "two trillion, four hundred two billion, three hundred eighty-two million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 28703 57406 86109 114812 172218 258327 344436 516654 774981 1033308 1549962 2324943 3099924 4649886 6974829 9299772 13949658 20924487 27899316 41848974 83697948 823862209 1647724418 2471586627 3295448836 4943173254 7414759881 9886346508 14829519762 22244279643 29659039524 44488559286 66732838929 88977118572 133465677858 200198516787 266931355716 400397033574 600595550361 800794067148 1201191100722 2402382201444