Search a number
-
+
1414434636 = 223489181271
BaseRepresentation
bin101010001001110…
…1000111101001100
310122120111201120000
41110103220331030
510344043402021
6352204124300
750023332066
oct12423507514
93576451500
101414434636
1166645874a
12335836690
13197063994
14d5bcc736
1584296b26
hex544e8f4c

1414434636 has 120 divisors (see below), whose sum is σ = 3773689920. Its totient is φ = 461894400.

The previous prime is 1414434617. The next prime is 1414434643. The reversal of 1414434636 is 6364344141.

1414434636 is a `hidden beast` number, since 1 + 4 + 14 + 4 + 3 + 4 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1414434636.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5219181 + ... + 5219451.

It is an arithmetic number, because the mean of its divisors is an integer number (31447416).

Almost surely, 21414434636 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 1414434636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886844960).

1414434636 is an abundant number, since it is smaller than the sum of its proper divisors (2359255284).

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

1414434636 is a wasteful number, since it uses less digits than its factorization.

1414434636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1414434636 is about 37608.9701534089. The cubic root of 1414434636 is about 1122.5205340133.

Adding to 1414434636 its reverse (6364344141), we get a palindrome (7778778777).

The spelling of 1414434636 in words is "one billion, four hundred fourteen million, four hundred thirty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 181 267 271 324 356 362 534 542 543 724 801 813 1068 1084 1086 1602 1626 1629 2172 2403 2439 3204 3252 3258 4806 4878 4887 6516 7209 7317 9612 9756 9774 14418 14634 14661 16109 19548 21951 24119 28836 29268 29322 32218 43902 48238 48327 49051 58644 64436 72357 87804 96476 96654 98102 144714 144981 147153 193308 196204 217071 289428 289962 294306 434142 434943 441459 579924 588612 651213 868284 869886 882918 1302426 1304829 1324377 1739772 1765836 1953639 2604852 2609658 2648754 3907278 3973131 4365539 5219316 5297508 7814556 7946262 8731078 13096617 15892524 17462156 26193234 39289851 52386468 78579702 117869553 157159404 235739106 353608659 471478212 707217318 1414434636