5438312293990400
5,438,312,293,990,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 5438312293990400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
5438312293990400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 5438312293990400:
217 × 52 × 113 × 19 × 29 × 31 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 19 × 29 × 31 × 73)See below for interesting mathematical facts about the number 5438312293990400 from the Numbermatics database.
Names of 5438312293990400
- Cardinal: 5438312293990400 can be written as Five quadrillion, four hundred thirty-eight trillion, three hundred twelve billion, two hundred ninety-three million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 5.4383122939904 × 1015
Factors of 5438312293990400
Divisors of 5438312293990400
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 29 31 32 38 40 44 50 55 58 62 64 73 76 80 88 95 100 110 116 121 124 128 145 146 152 155 160 176 190 200 209 220 232 242 248 256 275 290 292 304 310 319 320 341 352 365 380 400 418 440 464 475 484 496 512 550 551 580 584 589 605 608 620 638 640 682 704 725 730 760 775 800 803 836 880 899 928 950 968 992 1024 1045 1100 1102 1160 1168 1178 1210 1216 1240 1276 1280 1331 1364 1387 1408 1450 1460 1520 1550 1595 1600 1606 1672 1705 1760 1798 1825 1856 1900 1936 1984 2048 2090 2117 2200 2204 2263 2299 2320 2336 2356 2420 2432 2480 2552 2560 2662 2728 2755 2774 2816 2900 2920 2945 3025 3040 3100 3190 3200 3212 3344 3410 3509 3520 3596 3650 3712 3751 3800 3872 3968 4015 4096 4180 4234 4400 4408 4495 4526 4598 4640 4672 4712 4840 4864 4960 5104 5120 5225 5324 5456 5510 5548 5632 5800 5840 5890 6050 6061 6080 6200 6380 6400 6424 6479 6655 6688 6820 6935 7018 7040 7192 7300 7424 7502 7600 7744 7936 7975 8030 8192 8360 8468 8525 8800 8816 8833 8990 9052 9196 9280 9344 9424 9680 9728 9889 9920 10208 10240 10450 10585 10648 10912 11020 11096 11264 11315 11495 11600 11680 11780 12100 12122 12160 12400 12760 12800 12848 12958 13310 13376 13640 13775 13870 14036 14080 14384 14600 14725 14848 15004 15200 15257 15488 15872 15950 16060 16384 16720 16936 17050 17081 17545 17600 17632 17666 17980 18104 18392 18560 18688 18755 18848 19360 19456 19778 19840 20075 20416 20480 20900 21170 21296 21824 22040 22192 22475 22528 22630 22990 23200 23287 23360 23560 24200 24244 24320 24800 24893 25289 25520 25600 25696 25916 26620 26752 27280 27550 27740 28072 28160 28768 29200 29450 29696 30008 30305 30400 30514 30976 31744 31900 32120 32395 32768 33275 33440 33872 34100 34162 34675 35090 35200 35264 35332 35960 36208 36784 37120 37376 37510 37696 38599 38720 38912 39556 39680 40150 40223 40832 40960 41261 41800 42340 42592 42997 43648 44080 44165 44384 44950 45056 45260 45980 46400 46574 46720 47120 48400 48488 48640 49445 49600 49786 50578 51040 51200 51392 51832 52925 53240 53504 54560 55100 55480 56144 56320 56575 57475 57536 58400 58900 59392 60016 60610 60800 61028 61952 63488 63800 64240 64790 65536 65627 66550 66671 66880 67744 68200 68324 69350 70180 70400 70528 70664 71269 71920 72416 73568 74240 74752 75020 75392 76285 77198 77440 77824 79112 79360 80300 80446 81664 81920 82522 83600 84680 85184 85405 85994 87296 87725 88160 88330 88768 89900 90112 90520 91960 92800 93148 93440 93775 94240 96800 96976 97163 97280 98890 99200 99572 101156 102080 102400 102784 103664 105850 106480 107008 108779 109120 110200 110960 112288 112640 113150 114950 115072 116435 116800 117800 118784 120032 121220 121600 122056 123904 124465 126445 126976 127600 128480 129580 131072 131254 133100 133342 133760 135488 136400 136648 138700 140360 140800 141056 141328 142538 143840 144832 147136 148480 149504 150040 150784 151525 152570 154396 154880 155648 158224 158720 160600 160892 161975 163328 163840 165044 167200 167827 169360 170368 170810 171988 174592 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480628572160 482804713600 490114662400 493494763520 498379059200 510735564800 513775370240 520412659712 531085184960 532750028800 548216965120 549935513600 559037036800 561809121280 577070489600 582011161600 586025031680 591378022400 600785715200 604929064960 615681228800 616868454400 617990033408 637925195776 642219212800 650515824640 663856481200 677249351680 681920036864 685271206400 702261401600 715567407104 724914995200 732531289600 744974286848 756161331200 772487541760 774909132800 784183459840 797406494720 813144780800 817176903680 839375257600 846561689600 849736295936 852400046080 877147144192 894459258880 897263206400 898894594048 923312783360 931217858560 937640050688 965609427200 980229324800 986989527040 996758118400 1021471129600 1040825319424 1062170369920 1065500057600 1096433930240 1118074073600 1123618242560 1154140979200 1164022323200 1172050063360 1182756044800 1201571430400 1209858129920 1233736908800 1235980066816 1284438425600 1301031649280 1327712962400 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5204126597120 5310851849600 5482169651200 5618091212800 5724539256832 5860250316800 6049290649600 6179900334080 6505158246400 6772493516800 6797890367488 7017177153536 7155674071040 7449742868480 7501120405504 7724875417600 7974064947200 8497362959360 8524000460800 8771471441920 8944592588800 8988945940480 9233127833600 9312178585600 9376400506880 9869895270400 9887840534528 10621703699200 10964339302400 11236182425600 11449078513664 11720500633600 12359800668160 13010316492800 13595780734976 14311348142080 14899485736960 15449750835200 15948129894400 16994725918720 17048000921600 17542942883840 17889185177600 18624357171200 18752801013760 19775681069056 21243407398400 21928678604800 22472364851200 23441001267200 24719601336320 26020632985600 27191561469952 28622696284160 30899501670400 33989451837440 35085885767680 35778370355200 37248714342400 37505602027520 42486814796800 43857357209600 44944729702400 46882002534400 49439202672640 54383122939904 57245392568320 61799003340800 67978903674880 71556740710400 74497428684800 84973629593600 87714714419200 93764005068800 98878405345280 108766245879808 123598006681600 135957807349760 143113481420800 169947259187200 175429428838400 187528010137600 217532491759616 247196013363200 271915614699520 286226962841600 339894518374400 494392026726400 543831229399040 679789036748800 1087662458798080 1359578073497600 2719156146995200 5438312293990400
- Sum of all divisors σ(n): 16903396713369600
- Sum of proper divisors (its aliquot sum) s(n): 11465084419379200
- 5438312293990400 is an abundant number, because the sum of its proper divisors (11465084419379200) is greater than itself. Its abundance is 6026772125388800
Bases of 5438312293990400
- Binary: 100110101001000011101110000000111011000000000000000002
- Hexadecimal: 0x13521DC0760000
- Base-36: 1HJPY6ES268
Squares and roots of 5438312293990400
- 5438312293990400 squared (54383122939904002) is 29575240606967126839955292160000
- 5438312293990400 cubed (54383122939904003) is 160839394590593425637759351346426244235264000000
-
The
square root of 5438312293990400 is 73744913.6821679383 -
The
cube root of 5438312293990400 is 175854.9973682445
Scales and comparisons
How big is 5438312293990400?- 5,438,312,293,990,400 seconds is equal to 172,921,509 years, 7 weeks, 3 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 5,438,312,293,990,400 would take you about five hundred eighteen million, seven hundred sixty-four thousand, five hundred twenty-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 5438312293990400 cubic inches would be around 14654.6 feet tall.
Recreational maths with 5438312293990400
- 5438312293990400 backwards is 0040993922138345
- 5438312293990400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5438312293990400's digits is 62
- More coming soon!
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Cite this page
MLA style:
"Number 5438312293990400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 5438312293990400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/5438312293990400/
Chicago style:
Numbermatics. 2024. "Number 5438312293990400 - Facts about the integer". https://numbermatics.com/n/5438312293990400/
The information we have on file for 5438312293990400 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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