Search a number
-
+
1342103344224 = 253531631618271
BaseRepresentation
bin10011100001111011100…
…101111101010001100000
311202022012111012221120120
4103201323211331101200
5133442111424003344
62504315340240240
7165651400125156
oct23417345752140
94668174187516
101342103344224
11478201392945
12198137840080
1399737b68a86
1448d5b2333d6
1524da03d5219
hex1387b97d460

1342103344224 has 96 divisors (see below), whose sum is σ = 3611517041664. Its totient is φ = 436233807360.

The previous prime is 1342103344123. The next prime is 1342103344271. The reversal of 1342103344224 is 4224433012431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 20209 + ... + 1638479.

It is an arithmetic number, because the mean of its divisors is an integer number (37619969184).

Almost surely, 21342103344224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342103344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805758520832).

1342103344224 is an abundant number, since it is smaller than the sum of its proper divisors (2269413697440).

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

1342103344224 is a wasteful number, since it uses less digits than its factorization.

1342103344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618500 (or 1618492 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1342103344224 its reverse (4224433012431), we get a palindrome (5566536356655).

The spelling of 1342103344224 in words is "one trillion, three hundred forty-two billion, one hundred three million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 163 212 318 326 424 489 636 652 848 978 1272 1304 1696 1956 2544 2608 3912 5088 5216 7824 8639 15648 17278 25917 34556 51834 69112 103668 138224 207336 276448 414672 829344 1618271 3236542 4854813 6473084 9709626 12946168 19419252 25892336 38838504 51784672 77677008 85768363 155354016 171536726 257305089 263778173 343073452 514610178 527556346 686146904 791334519 1029220356 1055112692 1372293808 1582669038 2058440712 2110225384 2744587616 3165338076 4116881424 4220450768 6330676152 8233762848 8440901536 12661352304 13980243169 25322704608 27960486338 41940729507 55920972676 83881459014 111841945352 167762918028 223683890704 335525836056 447367781408 671051672112 1342103344224