4404395404968
4,404,395,404,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 4404395404968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
4404395404968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 4404395404968:
23 × 3 × 132 × 193 × 31 × 5107
(2 × 2 × 2 × 3 × 13 × 13 × 19 × 19 × 19 × 31 × 5107)See below for interesting mathematical facts about the number 4404395404968 from the Numbermatics database.
Names of 4404395404968
- Cardinal: 4404395404968 can be written as Four trillion, four hundred four billion, three hundred ninety-five million, four hundred four thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.404395404968 × 1012
Factors of 4404395404968
Divisors of 4404395404968
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 169 186 228 247 248 312 338 361 372 403 456 494 507 589 676 722 741 744 806 988 1014 1083 1178 1209 1352 1444 1482 1612 1767 1976 2028 2166 2356 2418 2888 2964 3211 3224 3534 4056 4332 4693 4712 4836 5107 5239 5928 6422 6859 7068 7657 8664 9386 9633 9672 10214 10478 11191 12844 13718 14079 14136 15314 15321 15717 18772 19266 20428 20577 20956 22382 22971 25688 27436 28158 30628 30642 31434 33573 37544 38532 40856 41154 41912 44764 45942 54872 56316 61009 61256 61284 62868 66391 67146 77064 82308 89167 89528 91884 97033 99541 112632 122018 122568 125736 132782 134292 145483 158317 164616 178334 183027 183768 194066 199082 199173 212629 244036 265564 267501 268584 290966 291099 298623 316634 356668 366054 388132 398164 398346 425258 436449 474951 488072 531128 535002 581932 582198 597246 633268 637887 713336 732108 776264 796328 796692 850516 863083 872898 949902 1070004 1159171 1163864 1164396 1194492 1261429 1266536 1275774 1464216 1593384 1701032 1726166 1745796 1843627 1891279 1899804 2058121 2140008 2318342 2328792 2388984 2522858 2551548 2589249 2764177 3008023 3452332 3477513 3491592 3687254 3782558 3784287 3799608 4116242 4636684 5045716 5103096 5178498 5528354 5530881 5673837 6016046 6174363 6904664 6955026 7374508 7565116 7568574 8232484 8292531 9024069 9273368 10091432 10356996 11056708 11061762 11347674 12032092 12348726 13910052 14749016 15130232 15137148 16398577 16464968 16585062 18048138 20713992 22113416 22123524 22695348 23967151 24064184 24697452 26755573 27820104 30274296 32797154 33170124 35028913 35934301 36096276 39104299 44247048 45390696 47934302 49195731 49394904 53511146 57152437 65594308 66340248 70057826 71868602 71901453 72192552 78208598 80266719 95868604 98391462 105086739 107022292 107802903 114304874 117312897 131188616 140115652 143737204 143802906 156417196 160533438 171457311 191737208 196782924 210173478 214044584 215605806 228609748 234625794 280231304 287474408 287605812 311572963 312834392 321066876 342914622 393565848 420346956 431211612 455375869 457219496 469251588 508355887 575211624 623145926 642133752 685829244 742981681 840693912 862423224 910751738 934718889 938503176 1016711774 1085896303 1246291852 1366127607 1371658488 1485963362 1525067661 1821503476 1869437778 2033423548 2171792606 2228945043 2492583704 2732255214 2971926724 3050135322 3257688909 3643006952 3738875556 4066847096 4343585212 4457890086 5464510428 5919886297 5943853448 6100270644 6515377818 7477751112 8687170424 8915780172 9658761853 10929020856 11839772594 12200541288 13030755636 14116651939 17759658891 17831560344 19317523706 23679545188 26061511272 28233303878 28976285559 35519317782 38635047412 42349955817 47359090376 56466607756 57952571118 71038635564 77270094824 84699911634 112933215512 115905142236 142077271128 169399823268 183516475207 231810284472 338799646536 367032950414 550549425621 734065900828 1101098851242 1468131801656 2202197702484 4404395404968
- Sum of all divisors σ(n): 12993967411200
- Sum of proper divisors (its aliquot sum) s(n): 8589572006232
- 4404395404968 is an abundant number, because the sum of its proper divisors (8589572006232) is greater than itself. Its abundance is 4185176601264
Bases of 4404395404968
- Binary: 10000000001011110100110110001101110101010002
- Hexadecimal: 0x4017A6C6EA8
- Base-36: 1K7CNB0KO
Squares and roots of 4404395404968
- 4404395404968 squared (44043954049682) is 19398698883303232719081024
- 4404395404968 cubed (44043954049683) is 85439540223978631045300414481284127232
-
The
square root of 4404395404968 is 2098665.1483664563 -
The
cube root of 4404395404968 is 16391.8800336577
Scales and comparisons
How big is 4404395404968?- 4,404,395,404,968 seconds is equal to 140,046 years, 7 weeks, 5 days, 16 hours, 2 minutes, 48 seconds.
-
To count from 1 to 4,404,395,404,968 would take you about three hundred fifty thousand, one hundred fifteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 4404395404968 cubic inches would be around 1366 feet tall.
Recreational maths with 4404395404968
- 4404395404968 backwards is 8694045934044
- The number of decimal digits it has is: 13
- The sum of 4404395404968's digits is 60
- More coming soon!
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