Search a number
-
+
423644211444 = 2231767119325981
BaseRepresentation
bin1100010101000110010…
…10011010100011110100
31111111111111022202112210
412022203022122203310
523420110404231234
6522341445413420
742415204245036
oct6124312324364
91444444282483
10423644211444
11153737127413
126a13170a270
1330c460057bc
141670c465c56
15b04755abe9
hex62a329a8f4

423644211444 has 96 divisors (see below), whose sum is σ = 1063203394176. Its totient is φ = 130809507840.

The previous prime is 423644211439. The next prime is 423644211449. The reversal of 423644211444 is 444112446324.

It is an interprime number because it is at equal distance from previous prime (423644211439) and next prime (423644211449).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423644211449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16292934 + ... + 16318914.

It is an arithmetic number, because the mean of its divisors is an integer number (11075035356).

Almost surely, 2423644211444 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 423644211444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531601697088).

423644211444 is an abundant number, since it is smaller than the sum of its proper divisors (639559182732).

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

423644211444 is a wasteful number, since it uses less digits than its factorization.

423644211444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27265 (or 27263 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

Adding to 423644211444 its reverse (444112446324), we get a palindrome (867756657768).

The spelling of 423644211444 in words is "four hundred twenty-three billion, six hundred forty-four million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 1193 2278 2386 3417 3579 4556 4772 6834 7158 13668 14316 20281 25981 40562 51962 60843 77943 79931 81124 103924 121686 155886 159862 239793 243372 311772 319724 441677 479586 883354 959172 1325031 1358827 1740727 1766708 2650062 2717654 3481454 4076481 5222181 5300124 5435308 6962908 8152962 10444362 16305924 20888724 29592359 30995333 59184718 61990666 88777077 92985999 118369436 123981332 177554154 185971998 355108308 371943996 526920661 1053841322 1580761983 2076687311 2107682644 3161523966 4153374622 6230061933 6323047932 8306749244 12460123866 24920247732 35303684287 70607368574 105911052861 141214737148 211822105722 423644211444