380320988006400
380,320,988,006,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 380320988006400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
380320988006400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 380320988006400:
211 × 3 × 52 × 7 × 192 × 792 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 19 × 79 × 79 × 157)See below for interesting mathematical facts about the number 380320988006400 from the Numbermatics database.
Names of 380320988006400
- Cardinal: 380320988006400 can be written as Three hundred eighty trillion, three hundred twenty billion, nine hundred eighty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 3.803209880064 × 1014
Factors of 380320988006400
Divisors of 380320988006400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 79 80 84 95 96 100 105 112 114 120 128 133 140 150 152 157 158 160 168 175 190 192 200 210 224 228 237 240 256 266 280 285 300 304 314 316 320 336 350 361 380 384 395 399 400 420 448 456 471 474 475 480 512 525 532 553 560 570 600 608 628 632 640 665 672 700 722 760 768 785 790 798 800 840 896 912 942 948 950 960 1024 1050 1064 1083 1099 1106 1120 1140 1185 1200 1216 1256 1264 1280 1330 1344 1400 1425 1444 1501 1520 1536 1570 1580 1596 1600 1659 1680 1792 1805 1824 1884 1896 1900 1920 1975 1995 2048 2100 2128 2166 2198 2212 2240 2280 2355 2370 2400 2432 2512 2527 2528 2560 2660 2688 2765 2800 2850 2888 2983 3002 3040 3072 3140 3160 3192 3200 3297 3318 3325 3360 3584 3610 3648 3768 3792 3800 3840 3925 3950 3990 4200 4256 4332 4396 4424 4480 4503 4560 4710 4740 4800 4864 5024 5054 5056 5120 5320 5376 5415 5495 5530 5600 5700 5776 5925 5966 6004 6080 6144 6241 6280 6320 6384 6400 6594 6636 6650 6720 7168 7220 7296 7505 7536 7581 7584 7600 7680 7850 7900 7980 8295 8400 8512 8664 8792 8848 8949 8960 9006 9025 9120 9420 9480 9600 9728 9975 10048 10108 10112 10240 10507 10640 10752 10830 10990 11060 11200 11400 11552 11775 11850 11932 12008 12160 12403 12482 12560 12635 12640 12768 12800 13188 13272 13300 13440 13825 14336 14440 14592 14915 15010 15072 15162 15168 15200 15360 15700 15800 15960 16485 16590 16800 17024 17328 17584 17696 17898 17920 18012 18050 18240 18723 18840 18960 19200 19456 19950 20096 20216 20224 20881 21014 21280 21504 21660 21980 22120 22400 22515 22800 23104 23550 23700 23864 24016 24320 24806 24964 25120 25270 25280 25536 25600 26376 26544 26600 26880 27075 27475 27650 28519 28880 29184 29830 30020 30144 30324 30336 30400 30720 31205 31400 31521 31600 31920 32970 33180 33600 34048 34656 35168 35392 35796 35840 36024 36100 36480 37209 37446 37525 37680 37905 37920 38400 38912 39900 40192 40432 40448 41475 41762 42028 42560 43008 43320 43687 43960 44240 44745 44800 45030 45600 46208 47100 47400 47728 48032 48640 49612 49928 50240 50540 50560 51072 51200 52535 52752 53088 53200 53760 54150 54950 55300 56677 57038 57760 58368 59660 60040 60288 60648 60672 60800 62015 62410 62643 62800 63042 63175 63200 63840 65940 66360 67200 68096 69312 70336 70784 71592 71680 72048 72200 72960 74418 74575 74892 75050 75360 75810 75840 76800 79800 80384 80864 80896 82425 82950 83524 84056 85120 85557 86640 86821 87374 87920 88480 89490 89600 90060 91200 92416 93615 94200 94800 95456 96064 97280 99224 99856 100480 101080 101120 102144 104405 105070 105504 106176 106400 107520 108300 109900 110600 112575 113354 114076 115520 116736 118579 119320 120080 120576 121296 121344 121600 124030 124820 125286 125600 126084 126350 126400 127680 131061 131880 132720 134400 136192 138624 140672 141568 142595 143184 144096 144400 145920 148836 149150 149784 150100 150720 151620 151680 153600 156025 157605 159600 160768 161728 161792 164850 165900 167048 168112 170031 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74281442970 75221714400 75251481600 75700833600 78190992600 79233539168 80236495360 80747555840 83403725440 84459468800 84893077680 85967673600 86515238400 87793395200 89361134400 90552616192 95318543360 96283794432 96897067008 99041923960 100084470528 100295619200 100934444800 104254656800 105352074240 106116347100 113190770240 114382252032 114623564800 115353651200 118850308752 119148179200 120354743040 121121333760 123802404950 125105588160 126689203200 127496140800 131690092800 133445960704 135828924288 137548277760 141488462800 142977815040 148562885940 150443428800 150502963200 151401667200 156381985200 158467078336 160472990720 161495111680 166807450880 169786155360 171935347200 173030476800 175586790400 178722268800 181105232384 185703607425 190637086720 192567588864 198083847920 200168941056 200591238400 201868889600 208509313600 210704148480 212232694200 226381540480 229247129600 237700617504 238296358400 240709486080 242242667520 247604809900 250211176320 253378406400 263380185600 266891921408 271657848576 282976925600 285955630080 297125771880 300886857600 302803334400 312763970400 316934156672 320945981440 333614901760 339572310720 343870694400 346060953600 351173580800 357444537600 362210464768 371407214850 396167695840 400337882112 401182476800 403737779200 417018627200 424465388400 452763080960 475401235008 476592716800 481418972160 484485335040 495209619800 500422352640 526760371200 543315697152 565953851200 571911260160 594251543760 601773715200 605606668800 625527940800 633868313344 667229803520 679144621440 687741388800 714889075200 724420929536 742814429700 792335391680 800675764224 802364953600 807475558400 834037254400 848930776800 905526161920 950802470016 953185433600 962837944320 990419239600 1000844705280 1053520742400 1086631394304 1131907702400 1188503087520 1203547430400 1211213337600 1251055881600 1267736626688 1334459607040 1358289242880 1429778150400 1485628859400 1584670783360 1604729907200 1668074508800 1697861553600 1811052323840 1901604940032 1980838479200 2001689410560 2173262788608 2263815404800 2377006175040 2407094860800 2422426675200 2502111763200 2535473253376 2716578485760 2859556300800 2971257718800 3169341566720 3336149017600 3395723107200 3622104647680 3803209880064 3961676958400 4003378821120 4527630809600 4754012350080 4814189721600 5004223526400 5070946506752 5433156971520 5942515437600 6338683133440 6672298035200 6791446214400 7606419760128 7923353916800 9055261619200 9508024700160 10008447052800 10866313943040 11885030875200 12677366266880 13582892428800 15212839520256 15846707833600 18110523238400 19016049400320 20016894105600 23770061750400 25354732533760 27165784857600 31693415667200 38032098800640 47540123500800 54331569715200 63386831334400 76064197601280 95080247001600 126773662668800 190160494003200 380320988006400
- Sum of all divisors σ(n): 1545729271369920
- Sum of proper divisors (its aliquot sum) s(n): 1165408283363520
- 380320988006400 is an abundant number, because the sum of its proper divisors (1165408283363520) is greater than itself. Its abundance is 785087295357120
Bases of 380320988006400
- Binary: 10101100111100110011000010110010000001000000000002
- Hexadecimal: 0x159E661640800
- Base-36: 3QT91SNU2O
Squares and roots of 380320988006400
- 380320988006400 squared (3803209880064002) is 144644053918164252646440960000
- 380320988006400 cubed (3803209880064003) is 55011169495407221657852291807805702144000000
-
The
square root of 380320988006400 is 19501820.1203477415 -
The
cube root of 380320988006400 is 72451.9531363187
Scales and comparisons
How big is 380320988006400?- 380,320,988,006,400 seconds is equal to 12,093,031 years, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 380,320,988,006,400 would take you about thirty million, two hundred thirty-two thousand, five hundred seventy-seven 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 380320988006400 cubic inches would be around 6037.7 feet tall.
Recreational maths with 380320988006400
- 380320988006400 backwards is 004600889023083
- The number of decimal digits it has is: 15
- The sum of 380320988006400's digits is 51
- More coming soon!
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"Number 380320988006400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 380320988006400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/380320988006400/
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The information we have on file for 380320988006400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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