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4111414452 = 2232899713229
BaseRepresentation
bin1111010100001111…
…0011010010110100
3101121112100111100100
43311003303102310
531410010230302
61515545514100
7203612306025
oct36503632264
911545314310
104111414452
11181a871592
12968aa2930
13506a30822
142b0076c4c
15190e31d1c
hexf50f34b4

4111414452 has 72 divisors (see below), whose sum is σ = 10618662600. Its totient is φ = 1341001728.

The previous prime is 4111414409. The next prime is 4111414471. The reversal of 4111414452 is 2544141114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1221921936 + 2889492516 = 34956^2 + 53754^2 .

It is a super-2 number, since 2×41114144522 = 33807457592228920608, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 304174 + ... + 317402.

It is an arithmetic number, because the mean of its divisors is an integer number (147481425).

Almost surely, 24111414452 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 4111414452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309331300).

4111414452 is an abundant number, since it is smaller than the sum of its proper divisors (6507248148).

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

4111414452 is a wasteful number, since it uses less digits than its factorization.

4111414452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13425 (or 13420 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 4111414452 is about 64120.3123198881. The cubic root of 4111414452 is about 1602.0045775982.

Adding to 4111414452 its reverse (2544141114), we get a palindrome (6655555566).

The spelling of 4111414452 in words is "four billion, one hundred eleven million, four hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 97 178 194 267 291 356 388 534 582 801 873 1068 1164 1602 1746 3204 3492 8633 13229 17266 25899 26458 34532 39687 51798 52916 77697 79374 103596 119061 155394 158748 238122 310788 476244 1177381 1283213 2354762 2566426 3532143 3849639 4709524 5132852 7064286 7699278 10596429 11548917 14128572 15398556 21192858 23097834 42385716 46195668 114205957 228411914 342617871 456823828 685235742 1027853613 1370471484 2055707226 4111414452