Search a number
-
+
4144969092 = 22311195331183
BaseRepresentation
bin1111011100001111…
…0011010110000100
3101200212111020122210
43313003303112010
531442103002332
61523145023420
7204500440665
oct36703632604
911625436583
104144969092
1118377aa6a0
12978184b70
1351097b744
142b46cd36c
15193d5decc
hexf70f3584

4144969092 has 96 divisors (see below), whose sum is σ = 11316049920. Its totient is φ = 1167454080.

The previous prime is 4144969091. The next prime is 4144969097. The reversal of 4144969092 is 2909694414.

It is not an unprimeable number, because it can be changed into a prime (4144969091) 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 31 ways as a sum of consecutive naturals, for example, 117333 + ... + 148515.

It is an arithmetic number, because the mean of its divisors is an integer number (117875520).

Almost surely, 24144969092 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 4144969092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658024960).

4144969092 is an abundant number, since it is smaller than the sum of its proper divisors (7171080828).

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

4144969092 is a wasteful number, since it uses less digits than its factorization.

4144969092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31273 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 4144969092 is about 64381.4343735832. The cubic root of 4144969092 is about 1606.3509414638.

The spelling of 4144969092 in words is "four billion, one hundred forty-four million, nine hundred sixty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 53 57 66 76 106 114 132 159 209 212 228 318 418 583 627 636 836 1007 1166 1254 1749 2014 2332 2508 3021 3498 4028 6042 6996 11077 12084 22154 31183 33231 44308 62366 66462 93549 124732 132924 187098 343013 374196 592477 686026 1029039 1184954 1372052 1652699 1777431 2058078 2369908 3305398 3554862 4116156 4958097 6517247 6610796 7109724 9916194 13034494 18179689 19551741 19832388 26068988 31401281 36359378 39103482 54539067 62802562 72718756 78206964 94203843 109078134 125605124 188407686 218156268 345414091 376815372 690828182 1036242273 1381656364 2072484546 4144969092