30418934988800
30,418,934,988,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 30418934988800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
30418934988800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 30418934988800:
215 × 52 × 53 × 641 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 53 × 641 × 1093)See below for interesting mathematical facts about the number 30418934988800 from the Numbermatics database.
Names of 30418934988800
- Cardinal: 30418934988800 can be written as Thirty trillion, four hundred eighteen billion, nine hundred thirty-four million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.04189349888 × 1013
Factors of 30418934988800
Divisors of 30418934988800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 128 160 200 212 256 265 320 400 424 512 530 640 641 800 848 1024 1060 1093 1280 1282 1325 1600 1696 2048 2120 2186 2560 2564 2650 3200 3205 3392 4096 4240 4372 5120 5128 5300 5465 6400 6410 6784 8192 8480 8744 10240 10256 10600 10930 12800 12820 13568 16025 16384 16960 17488 20480 20512 21200 21860 25600 25640 27136 27325 32050 32768 33920 33973 34976 40960 41024 42400 43720 51200 51280 54272 54650 57929 64100 67840 67946 69952 81920 82048 84800 87440 102400 102560 108544 109300 115858 128200 135680 135892 139904 163840 164096 169600 169865 174880 204800 205120 217088 218600 231716 256400 271360 271784 279808 289645 328192 339200 339730 349760 409600 410240 434176 437200 463432 512800 542720 543568 559616 579290 656384 678400 679460 699520 700613 819200 820480 849325 868352 874400 926864 1025600 1085440 1087136 1119232 1158580 1312768 1356800 1358920 1399040 1401226 1448225 1640960 1698650 1736704 1748800 1853728 2051200 2170880 2174272 2238464 2317160 2625536 2713600 2717840 2798080 2802452 2896450 3281920 3397300 3497600 3503065 3707456 4102400 4341760 4348544 4476928 4634320 5251072 5427200 5435680 5596160 5604904 5792900 6563840 6794600 6995200 7006130 7414912 8204800 8683520 8697088 8953856 9268640 10502144 10854400 10871360 11192320 11209808 11585800 13127680 13589200 13990400 14012260 14829824 16409600 17394176 17515325 17907712 18537280 21004288 21708800 21742720 22384640 22419616 23171600 26255360 27178400 27980800 28024520 29659648 32819200 34788352 35030650 35815424 37074560 37132489 43417600 43485440 44769280 44839232 46343200 52510720 54356800 55961600 56049040 59319296 65638400 69576704 70061300 74149120 74264978 86970880 89538560 89678464 92686400 105021440 108713600 111923200 112098080 118638592 131276800 139153408 140122600 148298240 148529956 173941760 179077120 179356928 185372800 185662445 217427200 223846400 224196160 237277184 262553600 278306816 280245200 296596480 297059912 347883520 358713856 370745600 371324890 434854400 447692800 448392320 474554368 525107200 556613632 560490400 593192960 594119824 695767040 717427712 741491200 742649780 869708800 895385600 896784640 928312225 949108736 1113227264 1120980800 1186385920 1188239648 1391534080 1434855424 1482982400 1485299560 1739417600 1793569280 1856624450 1898217472 2241961600 2372771840 2376479296 2783068160 2869710848 2965964800 2970599120 3478835200 3587138560 3713248900 4483923200 4745543680 4752958592 5566136320 5739421696 5931929600 5941198240 6957670400 7174277120 7426497800 8967846400 9491087360 9505917184 11478843392 11863859200 11882396480 13915340800 14348554240 14852995600 17935692800 19011834368 22957686784 23727718400 23764792960 27830681600 28697108480 29705991200 35871385600 38023668736 47455436800 47529585920 57394216960 59411982400 71742771200 76047337472 95059171840 114788433920 118823964800 143485542400 152094674944 190118343680 237647929600 286971084800 304189349888 380236687360 475295859200 573942169600 608378699776 760473374720 950591718400 1216757399552 1520946749440 1901183436800 3041893498880 3802366873600 6083786997760 7604733747200 15209467494400 30418934988800
- Sum of all divisors σ(n): 77051501725320
- Sum of proper divisors (its aliquot sum) s(n): 46632566736520
- 30418934988800 is an abundant number, because the sum of its proper divisors (46632566736520) is greater than itself. Its abundance is 16213631747720
Bases of 30418934988800
- Binary: 1101110101010011101011101000010000000000000002
- Hexadecimal: 0x1BAA75D08000
- Base-36: AS69KHYBK
Squares and roots of 30418934988800
- 30418934988800 squared (304189349888002) is 925311605852840856125440000
- 30418934988800 cubed (304189349888003) is 28146993582819695582272293617795072000000
-
The
square root of 30418934988800 is 5515336.3441226321 -
The
cube root of 30418934988800 is 31216.2934664087
Scales and comparisons
How big is 30418934988800?- 30,418,934,988,800 seconds is equal to 967,228 years, 2 weeks, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 30,418,934,988,800 would take you about two million, four hundred eighteen thousand and seventy 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 30418934988800 cubic inches would be around 2601.4 feet tall.
Recreational maths with 30418934988800
- 30418934988800 backwards is 00888943981403
- The number of decimal digits it has is: 14
- The sum of 30418934988800's digits is 65
- More coming soon!
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