Search a number
-
+
1243135416 = 2334110711807
BaseRepresentation
bin100101000011000…
…1011110110111000
310012122011211012110
41022012023312320
510021220313131
6323204412320
742543322335
oct11206136670
93178154173
101243135416
11588799046
122a83a70a0
1316a7181b3
14bb15b98c
157420b646
hex4a18bdb8

1243135416 has 64 divisors (see below), whose sum is σ = 3213665280. Its totient is φ = 400459520.

The previous prime is 1243135403. The next prime is 1243135417. The reversal of 1243135416 is 6145313421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243135417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99385 + ... + 111191.

It is an arithmetic number, because the mean of its divisors is an integer number (50213520).

Almost surely, 21243135416 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 1243135416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606832640).

1243135416 is an abundant number, since it is smaller than the sum of its proper divisors (1970529864).

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

1243135416 is a wasteful number, since it uses less digits than its factorization.

1243135416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11960 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1243135416 is about 35258.1255315707. The cubic root of 1243135416 is about 1075.2418178911.

Adding to 1243135416 its reverse (6145313421), we get a palindrome (7388448837).

The spelling of 1243135416 in words is "one billion, two hundred forty-three million, one hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 82 107 123 164 214 246 321 328 428 492 642 856 984 1284 2568 4387 8774 11807 13161 17548 23614 26322 35096 35421 47228 52644 70842 94456 105288 141684 283368 484087 968174 1263349 1452261 1936348 2526698 2904522 3790047 3872696 5053396 5809044 7580094 10106792 11618088 15160188 30320376 51797309 103594618 155391927 207189236 310783854 414378472 621567708 1243135416