Search a number
-
+
1413352116 = 22321122314107
BaseRepresentation
bin101010000111110…
…0000101010110100
310122111110201121200
41110033200222310
510343304231431
6352125012500
750011203051
oct12417405264
93574421550
101413352116
11665889400
123353b4130
13196a75037
14d59ca028
1584130ee6
hex543e0ab4

1413352116 has 108 divisors (see below), whose sum is σ = 4097978976. Its totient is φ = 409638240.

The previous prime is 1413352111. The next prime is 1413352117. The reversal of 1413352116 is 6112533141.

It is a happy number.

1413352116 is a `hidden beast` number, since 1 + 4 + 133 + 521 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1413352116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413352111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93135 + ... + 107241.

Almost surely, 21413352116 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 1413352116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048989488).

1413352116 is an abundant number, since it is smaller than the sum of its proper divisors (2684626860).

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

1413352116 is a wasteful number, since it uses less digits than its factorization.

1413352116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14162 (or 14146 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1413352116 is about 37594.5756193630. The cubic root of 1413352116 is about 1122.2340918712.

Adding to 1413352116 its reverse (6112533141), we get a palindrome (7525885257).

The spelling of 1413352116 in words is "one billion, four hundred thirteen million, three hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 121 132 138 198 207 242 253 276 363 396 414 484 506 726 759 828 1012 1089 1452 1518 2178 2277 2783 3036 4356 4554 5566 8349 9108 11132 14107 16698 25047 28214 33396 42321 50094 56428 84642 100188 126963 155177 169284 253926 310354 324461 465531 507852 620708 648922 931062 973383 1297844 1396593 1706947 1862124 1946766 2793186 2920149 3413894 3569071 3893532 5120841 5586372 5840298 6827788 7138142 10241682 10707213 11680596 14276284 15362523 20483364 21414426 30725046 32121639 39259781 42828852 61450092 64243278 78519562 117779343 128486556 157039124 235558686 353338029 471117372 706676058 1413352116