Search a number
-
+
3135342404430 = 2325672232331647
BaseRepresentation
bin101101101000000000111…
…110000110001101001110
3102002201212101212210012200
4231220000332012031032
5402332140123420210
610400204552542330
7442343464466415
oct55500076061516
912081771783180
103135342404430
11aa976705a385
124277979b19a6
1319987a48a192
14aba73b1447c
15568565e70c0
hex2da00f8634e

3135342404430 has 96 divisors (see below), whose sum is σ = 8310664986624. Its totient is φ = 819918652608.

The previous prime is 3135342404417. The next prime is 3135342404437. The reversal of 3135342404430 is 344042435313.

It is a happy number.

3135342404430 is a `hidden beast` number, since 3 + 13 + 534 + 2 + 40 + 44 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135342404437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178867 + ... + 2510513.

It is an arithmetic number, because the mean of its divisors is an integer number (86569426944).

Almost surely, 23135342404430 is an apocalyptic number.

3135342404430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135342404430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155332493312).

3135342404430 is an abundant number, since it is smaller than the sum of its proper divisors (5175322582194).

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

3135342404430 is a wasteful number, since it uses less digits than its factorization.

3135342404430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331950 (or 2331947 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 3135342404430 its reverse (344042435313), we get a palindrome (3479384839743).

The spelling of 3135342404430 in words is "three trillion, one hundred thirty-five billion, three hundred forty-two million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 223 335 402 446 603 669 670 1005 1115 1206 1338 2007 2010 2230 3015 3345 4014 6030 6690 10035 14941 20070 29882 44823 74705 89646 134469 149410 224115 268938 448230 672345 1344690 2331647 4663294 6994941 11658235 13989882 20984823 23316470 34974705 41969646 69949410 104924115 156220349 209848230 312440698 468661047 519957281 781101745 937322094 1039914562 1405983141 1559871843 1562203490 2343305235 2599786405 2811966282 3119743686 4679615529 4686610470 5199572810 7029915705 7799359215 9359231058 14059831410 15598718430 23398077645 34837137827 46796155290 69674275654 104511413481 174185689135 209022826962 313534240443 348371378270 522557067405 627068480886 1045114134810 1567671202215 3135342404430