Search a number
-
+
12431112444 = 2234193754577
BaseRepresentation
bin10111001001111001…
…11011100011111100
31012002100022221110000
423210330323203330
5200424331044234
65413305514300
7620024466222
oct134474734374
935070287400
1012431112444
1152aa047853
1224ab1a2990
13123157a54a
1485cda0b12
154cb52c899
hex2e4f3b8fc

12431112444 has 120 divisors (see below), whose sum is σ = 35132950160. Its totient is φ = 3819446784.

The previous prime is 12431112413. The next prime is 12431112467. The reversal of 12431112444 is 44421113421.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

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, 200484 + ... + 255060.

Almost surely, 212431112444 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 12431112444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566475080).

12431112444 is an abundant number, since it is smaller than the sum of its proper divisors (22701837716).

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

12431112444 is a wasteful number, since it uses less digits than its factorization.

12431112444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54649 (or 54638 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12431112444 its reverse (44421113421), we get a palindrome (56852225865).

The spelling of 12431112444 in words is "twelve billion, four hundred thirty-one million, one hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 324 333 342 444 513 666 684 703 999 1026 1332 1406 1539 1998 2052 2109 2812 2997 3078 3996 4218 5994 6156 6327 8436 11988 12654 18981 25308 37962 54577 56943 75924 109154 113886 163731 218308 227772 327462 491193 654924 982386 1036963 1473579 1964772 2019349 2073926 2947158 3110889 4038698 4147852 4420737 5894316 6058047 6221778 8077396 8841474 9332667 12116094 12443556 17682948 18174141 18665334 24232188 27998001 36348282 37330668 38367631 54522423 55996002 72696564 76735262 83994003 109044846 111992004 115102893 153470524 163567269 167988006 218089692 230205786 327134538 335976012 345308679 460411572 654269076 690617358 1035926037 1381234716 2071852074 3107778111 4143704148 6215556222 12431112444