[go: up one dir, main page]

Search a number
-
+
1644141136 = 241119491669
BaseRepresentation
bin110000111111111…
…1001101001010000
311020120202000122011
41201333321221100
511331400004021
6431051352304
755512653251
oct14177715120
94216660564
101644141136
11774090630
1239a752694
1320281c4a1
14118504b28
159951cde1
hex61ff9a50

1644141136 has 40 divisors (see below), whose sum is σ = 3658024800. Its totient is φ = 708001920.

The previous prime is 1644141133. The next prime is 1644141137. The reversal of 1644141136 is 6311414461.

It is a happy number.

It is a super-3 number, since 3×16441411363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1644141098 and 1644141107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1644141133) 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 7 ways as a sum of consecutive naturals, for example, 242491 + ... + 249178.

It is an arithmetic number, because the mean of its divisors is an integer number (91450620).

Almost surely, 21644141136 is an apocalyptic number.

1644141136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1644141136 is an abundant number, since it is smaller than the sum of its proper divisors (2013883664).

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

1644141136 is a wasteful number, since it uses less digits than its factorization.

1644141136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491707 (or 491701 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 1644141136 is about 40548.0102594443. The cubic root of 1644141136 is about 1180.2654616772.

Adding to 1644141136 its reverse (6311414461), we get a palindrome (7955555597).

The spelling of 1644141136 in words is "one billion, six hundred forty-four million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 491669 983338 1966676 3933352 5408359 7866704 9341711 10816718 18683422 21633436 37366844 43266872 74733688 86533744 102758821 149467376 205517642 411035284 822070568 1644141136