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1411116252 = 2237134432917
BaseRepresentation
bin101010000011011…
…1110110011011100
310122100021010120220
41110012332303130
510342221210002
6352005041340
746653201360
oct12406766334
93570233526
101411116252
116645a1587
123346b6250
13196471440
14d55a72a0
1583d3d7bc
hex541becdc

1411116252 has 96 divisors (see below), whose sum is σ = 4062976512. Its totient is φ = 371195136.

The previous prime is 1411116247. The next prime is 1411116281. The reversal of 1411116252 is 2526111141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482298 + ... + 485214.

It is an arithmetic number, because the mean of its divisors is an integer number (42322672).

Almost surely, 21411116252 is an apocalyptic number.

1411116252 is a gapful number since it is divisible by the number (12) 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 1411116252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031488256).

1411116252 is an abundant number, since it is smaller than the sum of its proper divisors (2651860260).

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

1411116252 is a wasteful number, since it uses less digits than its factorization.

1411116252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3385 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 1411116252 is about 37564.8273255715. The cubic root of 1411116252 is about 1121.6420037257.

Adding to 1411116252 its reverse (2526111141), we get a palindrome (3937227393).

The spelling of 1411116252 in words is "one billion, four hundred eleven million, one hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 443 546 886 1092 1329 1772 2658 2917 3101 5316 5759 5834 6202 8751 9303 11518 11668 12404 17277 17502 18606 20419 23036 34554 35004 37212 37921 40313 40838 61257 69108 75842 80626 81676 113763 120939 122514 151684 161252 227526 241878 245028 265447 455052 483756 530894 796341 1061788 1292231 1592682 2584462 3185364 3876693 5168924 7753386 9045617 15506772 16799003 18091234 27136851 33598006 36182468 50397009 54273702 67196012 100794018 108547404 117593021 201588036 235186042 352779063 470372084 705558126 1411116252