Search a number
-
+
3102403113344 = 27591213338669
BaseRepresentation
bin101101001001010101101…
…000101011000110000000
3101222120211210210102110202
4231021111220223012000
5401312210144111334
610333120241344332
7440066304233663
oct55112550530600
911876753712422
103102403113344
11a967a3750467
124213246380a8
1319672b1783b2
14aa22b1876da
1555a7991c17e
hex2d255a2b180

3102403113344 has 64 divisors (see below), whose sum is σ = 6290524314000. Its totient is φ = 1523648366592.

The previous prime is 3102403113343. The next prime is 3102403113349. The reversal of 3102403113344 is 4433113042013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31024031133442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102403113343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8991242 + ... + 9329910.

Almost surely, 23102403113344 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 3102403113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145262157000).

3102403113344 is an abundant number, since it is smaller than the sum of its proper divisors (3188121200656).

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

3102403113344 is a wasteful number, since it uses less digits than its factorization.

3102403113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339955 (or 339943 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 3102403113344 its reverse (4433113042013), we get a palindrome (7535516155357).

The spelling of 3102403113344 in words is "three trillion, one hundred two billion, four hundred three million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1213 1888 2426 3776 4852 7552 9704 19408 38816 71567 77632 143134 155264 286268 338669 572536 677338 1145072 1354676 2290144 2709352 4580288 5418704 9160576 10837408 19981471 21674816 39962942 43349632 79925884 159851768 319703536 410805497 639407072 821610994 1278814144 1643221988 2557628288 3286443976 6572887952 13145775904 24237524323 26291551808 48475048646 52583103616 96950097292 193900194584 387800389168 775600778336 1551201556672 3102403113344