Search a number
-
+
2102323638744 = 23357222139973
BaseRepresentation
bin11110100101111100010…
…000001111000111011000
321102222110112211021100000
4132211330100033013120
5233421024322414434
64245443311413000
7304613353040400
oct36457420170730
97388415737300
102102323638744
1174065498308a
1229b53bb24160
1312332c5a4684
1473a78373800
1539a46207b99
hex1e97c40f1d8

2102323638744 has 288 divisors, whose sum is σ = 6872495731920. Its totient is φ = 600332269824.

The previous prime is 2102323638743. The next prime is 2102323638757. The reversal of 2102323638744 is 4478363232012.

2102323638744 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 3 + 2 + 3 + 638 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2102323638744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102323638743) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210796542 + ... + 210806514.

Almost surely, 22102323638744 is an apocalyptic number.

2102323638744 is a gapful number since it is divisible by the number (24) 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 2102323638744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436247865960).

2102323638744 is an abundant number, since it is smaller than the sum of its proper divisors (4770172093176).

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

2102323638744 is a wasteful number, since it uses less digits than its factorization.

2102323638744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2102323638744 in words is "two trillion, one hundred two billion, three hundred twenty-three million, six hundred thirty-eight thousand, seven hundred forty-four".