Search a number
-
+
10343231003440 = 24510311399110119
BaseRepresentation
bin1001011010000011100010…
…0111000001101100110000
31100121210200112220210120001
42112200320213001230300
52323430414114102230
633555340440355344
72115162622625566
oct226407047015460
940553615823501
1010343231003440
1133285a3288035
1211b0707175b54
135a0493541b2a
1427a8879b7a36
1512e0b7aad0ca
hex968389c1b30

10343231003440 has 80 divisors (see below), whose sum is σ = 24283838592000. Its totient is φ = 4096727882496.

The previous prime is 10343231003437. The next prime is 10343231003461. The reversal of 10343231003440 is 4430013234301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10343231003399 and 10343231003408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93872701 + ... + 93982819.

It is an arithmetic number, because the mean of its divisors is an integer number (303547982400).

Almost surely, 210343231003440 is an apocalyptic number.

10343231003440 is a gapful number since it is divisible by the number (10) 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 10343231003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141919296000).

10343231003440 is an abundant number, since it is smaller than the sum of its proper divisors (13940607588560).

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

10343231003440 is a wasteful number, since it uses less digits than its factorization.

10343231003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121634 (or 121628 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10343231003440 its reverse (4430013234301), we get a palindrome (14773244237741).

The spelling of 10343231003440 in words is "ten trillion, three hundred forty-three billion, two hundred thirty-one million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 11399 22798 45596 56995 91192 110119 113990 182384 220238 227980 440476 455960 550595 880952 911920 1101190 1174097 1761904 2202380 2348194 4404760 4696388 5870485 8809520 9392776 11342257 11740970 18785552 22684514 23481940 45369028 46963880 56711285 90738056 93927760 113422570 181476112 226845140 453690280 907380560 1255246481 2510492962 5020985924 6276232405 10041971848 12552464810 20083943696 25104929620 50209859240 100419718480 129290387543 258580775086 517161550172 646451937715 1034323100344 1292903875430 2068646200688 2585807750860 5171615501720 10343231003440