Search a number
-
+
1413325104 = 24341612193
BaseRepresentation
bin101010000111101…
…1010000100110000
310122111102100120020
41110033122010300
510343302400404
6352124243440
750011031232
oct12417320460
93574370506
101413325104
11665870084
123353a0580
13196a65959
14d59c0252
1584127ed9
hex543da130

1413325104 has 120 divisors (see below), whose sum is σ = 3822161616. Its totient is φ = 449740800.

The previous prime is 1413325087. The next prime is 1413325181. The reversal of 1413325104 is 4015233141.

It is a happy number.

It is a super-2 number, since 2×14133251042 = 3994975699193221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7322832 + ... + 7323024.

Almost surely, 21413325104 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 1413325104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911080808).

1413325104 is an abundant number, since it is smaller than the sum of its proper divisors (2408836512).

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

1413325104 is a wasteful number, since it uses less digits than its factorization.

1413325104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1413325104 is about 37594.2163636908. The cubic root of 1413325104 is about 1122.2269424426.

Adding to 1413325104 its reverse (4015233141), we get a palindrome (5428558245).

The spelling of 1413325104 in words is "one billion, four hundred thirteen million, three hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 122 123 164 183 193 244 246 328 366 386 488 492 579 656 732 772 976 984 1158 1464 1544 1968 2316 2501 2928 3088 3721 4632 5002 7442 7503 7913 9264 10004 11163 11773 14884 15006 15826 20008 22326 23546 23739 29768 30012 31652 35319 40016 44652 47092 47478 59536 60024 63304 70638 89304 94184 94956 120048 126608 141276 152561 178608 188368 189912 282552 305122 379824 457683 482693 565104 610244 718153 915366 965386 1220488 1436306 1448079 1830732 1930772 2154459 2440976 2872612 2896158 3661464 3861544 4308918 5745224 5792316 7322928 7723088 8617836 11490448 11584632 17235672 23169264 29444273 34471344 58888546 88332819 117777092 176665638 235554184 353331276 471108368 706662552 1413325104