328238176806400
328,238,176,806,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 328238176806400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
328238176806400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 328238176806400:
29 × 52 × 7 × 41 × 409 × 218461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 41 × 409 × 218461)See below for interesting mathematical facts about the number 328238176806400 from the Numbermatics database.
Names of 328238176806400
- Cardinal: 328238176806400 can be written as Three hundred twenty-eight trillion, two hundred thirty-eight billion, one hundred seventy-six million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 3.282381768064 × 1014
Factors of 328238176806400
Divisors of 328238176806400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 64 70 80 82 100 112 128 140 160 164 175 200 205 224 256 280 287 320 328 350 400 409 410 448 512 560 574 640 656 700 800 818 820 896 1025 1120 1148 1280 1312 1400 1435 1600 1636 1640 1792 2045 2050 2240 2296 2560 2624 2800 2863 2870 3200 3272 3280 3584 4090 4100 4480 4592 5248 5600 5726 5740 6400 6544 6560 7175 8180 8200 8960 9184 10225 10496 11200 11452 11480 12800 13088 13120 14315 14350 16360 16400 16769 17920 18368 20450 20992 22400 22904 22960 26176 26240 28630 28700 32720 32800 33538 36736 40900 44800 45808 45920 52352 52480 57260 57400 65440 65600 67076 71575 73472 81800 83845 89600 91616 91840 104704 104960 114520 114800 117383 130880 131200 134152 143150 146944 163600 167690 183232 183680 209408 218461 229040 229600 234766 261760 262400 268304 286300 327200 335380 366464 367360 419225 436922 458080 459200 469532 523520 524800 536608 572600 586915 654400 670760 732928 734720 838450 873844 916160 918400 939064 1047040 1073216 1092305 1145200 1173830 1308800 1341520 1465856 1529227 1676900 1747688 1832320 1836800 1878128 2146432 2184610 2290400 2347660 2617600 2683040 2934575 3058454 3353800 3495376 3664640 3673600 3756256 4292864 4369220 4580800 4695320 5235200 5366080 5461525 5869150 6116908 6707600 6990752 7329280 7512512 7646135 8585728 8738440 8956901 9161600 9390640 10732160 10923050 11738300 12233816 13415200 13981504 15025024 15292270 17476880 17913802 18323200 18781280 21464320 21846100 23476600 24467632 26830400 27963008 30050048 30584540 34953760 35827604 36646400 37562560 38230675 42928640 43692200 44784505 46953200 48935264 53660800 55926016 60100096 61169080 62698307 69907520 71655208 75125120 76461350 87384400 89350549 89569010 93906400 97870528 107321600 111852032 122338160 125396614 139815040 143310416 150250240 152922700 174768800 178701098 179138020 187812800 195741056 214643200 223922525 244676320 250793228 279630080 286620832 300500480 305845400 313491535 349537600 357402196 358276040 375625600 391482112 446752745 447845050 489352640 501586456 559260160 573241664 611690800 625453843 626983070 699075200 714804392 716552080 751251200 782964224 893505490 895690100 978705280 1003172912 1146483328 1223381600 1250907686 1253966140 1398150400 1429608784 1433104160 1502502400 1567457675 1787010980 1791380200 1957410560 2006345824 2233763725 2292966656 2446763200 2501815372 2507932280 2796300800 2859217568 2866208320 3127269215 3134915350 3574021960 3582760400 3663372509 3914821120 4012691648 4467527450 4585933312 4893526400 5003630744 5015864560 5718435136 5732416640 6254538430 6269830700 7148043920 7165520800 7326745018 8025383296 8935054900 9787052800 10007261488 10031729120 11436870272 11464833280 12509076860 12539661400 14296087840 14331041600 14653490036 15636346075 16050766592 17870109800 18316862545 19574105600 20014522976 20063458240 22873740544 22929666560 25018153720 25079322800 25643607563 28592175680 28662083200 29306980072 31272692150 32101533184 35740219600 36633725090 40029045952 40126916480 45747481088 50036307440 50158645600 51287215126 57184351360 57324166400 58613960144 62545384300 71480439200 73267450180 80058091904 80253832960 91584312725 100072614880 100317291200 102574430252 114368702720 114648332800 117227920288 125090768600 128218037815 142960878400 146534900360 160116183808 160507665920 183168625450 200145229760 200634582400 205148860504 228737405440 234455840576 250181537200 256436075630 285921756800 293069800720 320232367616 366337250900 400290459520 401269164800 410297721008 468911681152 500363074400 512872151260 571843513600 586139601440 641090189075 732674501800 800580919040 802538329600 820595442016 937823362304 1000726148800 1025744302520 1143687027200 1172279202880 1282180378150 1465349003600 1601161838080 1641190884032 1875646724608 2001452297600 2051488605040 2344558405760 2564360756300 2930698007200 3282381768064 4002904595200 4102977210080 4689116811520 5128721512600 5861396014400 6564763536128 8005809190400 8205954420160 9378233623040 10257443025200 11722792028800 13129527072256 16411908840320 20514886050400 23445584057600 32823817680640 41029772100800 46891168115200 65647635361280 82059544201600 164119088403200 328238176806400
- Sum of all divisors σ(n): 954413045530560
- Sum of proper divisors (its aliquot sum) s(n): 626174868724160
- 328238176806400 is an abundant number, because the sum of its proper divisors (626174868724160) is greater than itself. Its abundance is 297936691917760
Bases of 328238176806400
- Binary: 10010101010000111111001111110111000100110000000002
- Hexadecimal: 0x12A87E7EE2600
- Base-36: 38CMJBM134
Squares and roots of 328238176806400
- 328238176806400 squared (3282381768064002) is 107740300713189506903080960000
- 328238176806400 cubed (3282381768064003) is 35364479874670601383322721457373446144000000
-
The
square root of 328238176806400 is 18117344.6400514223 -
The
cube root of 328238176806400 is 68981.0335608751
Scales and comparisons
How big is 328238176806400?- 328,238,176,806,400 seconds is equal to 10,436,958 years, 37 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 328,238,176,806,400 would take you about twenty-six million, ninety-two thousand, three hundred ninety-six 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 328238176806400 cubic inches would be around 5748.4 feet tall.
Recreational maths with 328238176806400
- 328238176806400 backwards is 004608671832823
- The number of decimal digits it has is: 15
- The sum of 328238176806400's digits is 58
- More coming soon!
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