Search a number
-
+
2324101034140 = 2251917956360689
BaseRepresentation
bin100001110100011111001…
…101110111000010011100
322020011220121010021012021
4201310133031313002130
5301034224331043030
64535402142545524
7326624250561154
oct41643715670234
98204817107167
102324101034140
11816711498816
123165148982a4
1313b2145a5712
14806b680b764
15406c648897a
hex21d1f37709c

2324101034140 has 96 divisors (see below), whose sum is σ = 5175448992000. Its totient is φ = 874221806592.

The previous prime is 2324101034117. The next prime is 2324101034153. The reversal of 2324101034140 is 414301014232.

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, 38264916 + ... + 38325604.

It is an arithmetic number, because the mean of its divisors is an integer number (53910927000).

Almost surely, 22324101034140 is an apocalyptic number.

2324101034140 is a gapful number since it is divisible by the number (20) 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 2324101034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587724496000).

2324101034140 is an abundant number, since it is smaller than the sum of its proper divisors (2851347957860).

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

2324101034140 is a wasteful number, since it uses less digits than its factorization.

2324101034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61459 (or 61457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2324101034140 its reverse (414301014232), we get a palindrome (2738402048372).

The spelling of 2324101034140 in words is "two trillion, three hundred twenty-four billion, one hundred one million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 179 190 358 380 563 716 895 1126 1790 2252 2815 3401 3580 5630 6802 10697 11260 13604 17005 21394 34010 42788 53485 60689 68020 100777 106970 121378 201554 213940 242756 303445 403108 503885 606890 1007770 1153091 1213780 1914763 2015540 2306182 3829526 4612364 5765455 7659052 9573815 10863331 11530910 19147630 21726662 23061820 34167907 38295260 43453324 54316655 68335814 108633310 136671628 170839535 206403289 217266620 341679070 412806578 649190233 683358140 825613156 1032016445 1298380466 2064032890 2596760932 3245951165 4128065780 6116055353 6491902330 12232110706 12983804660 24464221412 30580276765 61160553530 116205051707 122321107060 232410103414 464820206828 581025258535 1162050517070 2324101034140