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4144110984 = 233413835927
BaseRepresentation
bin1111011100000010…
…0001110110001000
3101200210212122120000
43313000201312020
531441343022414
61523114403000
7204460235136
oct36700416610
911623778500
104144110984
111837273a12
12977a30460
1351073aca0
142b4548756
15193c3eb09
hexf7021d88

4144110984 has 160 divisors (see below), whose sum is σ = 12652960320. Its totient is φ = 1259535744.

The previous prime is 4144110967. The next prime is 4144111019. The reversal of 4144110984 is 4890114414.

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

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, 696229 + ... + 702155.

It is an arithmetic number, because the mean of its divisors is an integer number (79081002).

Almost surely, 24144110984 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 4144110984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326480160).

4144110984 is an abundant number, since it is smaller than the sum of its proper divisors (8508849336).

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

4144110984 is a wasteful number, since it uses less digits than its factorization.

4144110984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4144110984 is about 64374.7697782291. The cubic root of 4144110984 is about 1606.2400827581.

It can be divided in two parts, 41441 and 10984, that added together give a palindrome (52425).

The spelling of 4144110984 in words is "four billion, one hundred forty-four million, one hundred ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 83 104 108 117 156 162 166 216 234 249 312 324 332 351 468 498 648 664 702 747 936 996 1053 1079 1404 1494 1992 2106 2158 2241 2808 2988 3237 4212 4316 4482 5927 5976 6474 6723 8424 8632 8964 9711 11854 12948 13446 17781 17928 19422 23708 25896 26892 29133 35562 38844 47416 53343 53784 58266 71124 77051 77688 87399 106686 116532 142248 154102 160029 174798 213372 231153 233064 308204 320058 349596 426744 462306 480087 491941 616408 640116 693459 699192 924612 960174 983882 1280232 1386918 1475823 1849224 1920348 1967764 2080377 2773836 2951646 3840696 3935528 4160754 4427469 5547672 5903292 6241131 6395233 8321508 8854938 11806584 12482262 12790466 13282407 16643016 17709876 19185699 24964524 25580932 26564814 35419752 38371398 39847221 49929048 51161864 53129628 57557097 76742796 79694442 106259256 115114194 153485592 159388884 172671291 230228388 318777768 345342582 460456776 518013873 690685164 1036027746 1381370328 2072055492 4144110984