Search a number
-
+
11342203404 = 22379710491327
BaseRepresentation
bin10101001000000110…
…00100101000001100
31002021110100122001120
422210003010220030
5141212101002104
65113250440540
7551033065260
oct124403045014
932243318046
1011342203404
1148a0418324
122246593150
1310b9ab0b7c
1479850c0a0
15465b37cd9
hex2a40c4a0c

11342203404 has 96 divisors (see below), whose sum is σ = 30609868800. Its totient is φ = 3201748992.

The previous prime is 11342203393. The next prime is 11342203409. The reversal of 11342203404 is 40430224311.

It is not an unprimeable number, because it can be changed into a prime (11342203409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8546589 + ... + 8547915.

It is an arithmetic number, because the mean of its divisors is an integer number (318852800).

Almost surely, 211342203404 is an apocalyptic number.

11342203404 is a gapful number since it is divisible by the number (14) 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 11342203404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304934400).

11342203404 is an abundant number, since it is smaller than the sum of its proper divisors (19267665396).

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

11342203404 is a wasteful number, since it uses less digits than its factorization.

11342203404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11342203404 its reverse (40430224311), we get a palindrome (51772427715).

The spelling of 11342203404 in words is "eleven billion, three hundred forty-two million, two hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1049 1164 1327 1358 2037 2098 2654 2716 3147 3981 4074 4196 5308 6294 7343 7962 8148 9289 12588 14686 15924 18578 22029 27867 29372 37156 44058 55734 88116 101753 111468 128719 203506 257438 305259 386157 407012 514876 610518 712271 772314 901033 1221036 1392023 1424542 1544628 1802066 2136813 2703099 2784046 2849084 3604132 4176069 4273626 5406198 5568092 8352138 8547252 9744161 10812396 16704276 19488322 29232483 38976644 58464966 116929932 135026231 270052462 405078693 540104924 810157386 945183617 1620314772 1890367234 2835550851 3780734468 5671101702 11342203404