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1416052404 = 2232139293257
BaseRepresentation
bin101010001100111…
…0011111010110100
310122200112220201100
41110121303322310
510400002134104
6352302530100
750043150444
oct12431637264
93580486640
101416052404
11667363148
12336296930
131974ac140
14d60d0124
15844b6139
hex54673eb4

1416052404 has 72 divisors (see below), whose sum is σ = 3860143560. Its totient is φ = 435105792.

The previous prime is 1416052403. The next prime is 1416052423. The reversal of 1416052404 is 4042506141.

1416052404 is a `hidden beast` number, since 1 + 416 + 0 + 5 + 240 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7551504 + 1408500900 = 2748^2 + 37530^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416052403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 433144 + ... + 436400.

It is an arithmetic number, because the mean of its divisors is an integer number (53613105).

Almost surely, 21416052404 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 1416052404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930071780).

1416052404 is an abundant number, since it is smaller than the sum of its proper divisors (2444091156).

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

1416052404 is a wasteful number, since it uses less digits than its factorization.

1416052404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1416052404 is about 37630.4717483053. The cubic root of 1416052404 is about 1122.9483341268.

Adding to 1416052404 its reverse (4042506141), we get a palindrome (5458558545).

It can be divided in two parts, 14160 and 52404, that added together give a square (66564 = 2582).

The spelling of 1416052404 in words is "one billion, four hundred sixteen million, fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 929 1858 2787 3257 3716 5574 6514 8361 9771 11148 12077 13028 16722 19542 24154 29313 33444 36231 39084 42341 48308 58626 72462 84682 108693 117252 127023 144924 169364 217386 254046 381069 434772 508092 762138 1524276 3025753 6051506 9077259 12103012 18154518 27231777 36309036 39334789 54463554 78669578 108927108 118004367 157339156 236008734 354013101 472017468 708026202 1416052404