13894378409600
13,894,378,409,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13894378409600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13894378409600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13894378409600:
27 × 52 × 13 × 37 × 53 × 181 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 53 × 181 × 941)See below for interesting mathematical facts about the number 13894378409600 from the Numbermatics database.
Names of 13894378409600
- Cardinal: 13894378409600 can be written as Thirteen trillion, eight hundred ninety-four billion, three hundred seventy-eight million, four hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.38943784096 × 1013
Factors of 13894378409600
Divisors of 13894378409600
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 53 64 65 74 80 100 104 106 128 130 148 160 181 185 200 208 212 260 265 296 320 325 362 370 400 416 424 481 520 530 592 640 650 689 724 740 800 832 848 905 925 941 962 1040 1060 1184 1300 1325 1378 1448 1480 1600 1664 1696 1810 1850 1882 1924 1961 2080 2120 2353 2368 2405 2600 2650 2756 2896 2960 3200 3392 3445 3620 3700 3764 3848 3922 4160 4240 4525 4705 4706 4736 4810 5200 5300 5512 5792 5920 6697 6784 6890 7240 7400 7528 7696 7844 8320 8480 9050 9410 9412 9593 9620 9805 10400 10600 11024 11584 11765 11840 12025 12233 13394 13780 14480 14800 15056 15392 15688 16960 17225 18100 18820 18824 19186 19240 19610 20800 21200 22048 23168 23525 23530 23680 24050 24466 25493 26788 27560 28960 29600 30112 30784 31376 33485 33920 34450 34817 36200 37640 37648 38372 38480 39220 41600 42400 44096 47050 47060 47965 48100 48932 49025 49873 50986 53576 55120 57920 58825 59200 60224 61165 61568 62752 66970 68900 69634 72400 75280 75296 76744 76960 78440 84800 87061 88192 94100 94120 95930 96200 97864 98050 99746 101972 107152 110240 115840 117650 118400 120448 122330 124709 125504 127465 133940 137800 139268 144800 150560 150592 153488 153920 156880 167425 169600 170321 174085 174122 188200 188240 191860 192400 195728 196100 199492 203944 214304 220480 235300 239825 244660 249365 249418 251008 254930 267880 275600 278536 289600 301120 301184 305825 306976 307840 313760 334850 340642 348170 348244 354941 376400 376480 383720 384800 391456 392200 398984 407888 428608 435305 440960 452621 470600 479650 489320 498730 498836 509860 535760 551200 557072 579200 602240 611650 613952 623545 627520 637325 648349 669700 681284 696340 696488 709882 752800 752960 767440 769600 782912 784400 797968 815776 851605 857216 870425 870610 905242 941200 959300 978640 997460 997672 1019720 1071520 1102400 1114144 1223300 1227904 1246825 1247090 1255040 1274650 1296698 1339400 1362568 1392680 1392976 1419764 1505600 1505920 1534880 1539200 1565824 1568800 1595936 1631552 1703210 1740850 1741220 1774705 1810484 1845301 1882400 1918600 1957280 1994920 1995344 2039440 2143040 2176525 2204800 2214173 2228288 2263105 2446600 2493650 2494180 2549300 2593396 2678800 2725136 2785360 2785952 2839528 3011200 3069760 3117725 3137600 3191872 3241745 3263104 3406420 3481700 3482440 3549410 3620968 3690602 3764800 3837200 3914560 3989840 3990688 4078880 4258025 4286080 4353050 4428346 4456576 4526210 4614233 4893200 4987300 4988360 5098600 5186792 5357600 5450272 5570720 5571904 5679056 6139520 6235450 6275200 6301877 6383744 6483490 6812840 6963400 6964880 7098820 7241936 7381204 7529600 7674400 7829120 7979680 7981376 8157760 8516050 8706100 8856692 8873525 9027013 9052420 9226505 9228466 9786400 9974600 9976720 10197200 10373584 10715200 10900544 11070865 11141440 11143808 11315525 11358112 12470900 12603754 12966980 13625680 13926800 13929760 14197640 14483872 14762408 15348800 15959360 15962752 16208725 16315520 17032100 17412200 17713384 17747050 18054026 18104840 18453010 18456932 19572800 19949200 19953440 20394400 20747168 21430400 21801088 22141730 22282880 22631050 22716224 23071165 23988913 24941800 25207508 25933960 27251360 27853600 27859520 28395280 28967744 29524816 30697600 31509385 31918720 32417450 34064200 34824400 35426768 35494100 36108052 36209680 36906020 36913864 39145600 39898400 39906880 40788800 41494336 44283460 45135065 45262100 45432448 46132525 46142330 47977826 49883600 50415016 51867920 54502720 55354325 55707200 55719040 56790560 57935488 59049632 63018770 64834900 68128400 69648800 70853536 70988200 72216104 72419360 73812040 73827728 79796800 79813760 81577600 81924401 82988672 88566920 90270130 90524200 92265050 92284660 95955652 99767200 100830032 103735840 109005440 110708650 111414400 113581120 115355825 117351169 118099264 119944565 126037540 129669800 136256800 139297600 141707072 141976400 144432208 144838720 147624080 147655456 157546925 159593600 163848802 177133840 180540260 181048400 184530100 184569320 191911304 199534400 201660064 207471680 221417300 225675325 227162240 230711650 234702338 236198528 239889130 252075080 259339600 272513600 278595200 283414144 283952800 288864416 289677440 295248160 295310912 315093850 327697604 333999481 354267680 361080520 362096800 369060200 369138640 383822608 399068800 403320128 409622005 414943360 442834600 451350650 461423300 469404676 479778260 504150160 518679200 545027200 567905600 577728832 586755845 590496320 590621824 599722825 630187700 655395208 667998962 708535360 722161040 724193600 738120400 738277280 767645216 806640256 819244010 885669200 902701300 922846600 938809352 959556520 1008300320 1037358400 1135811200 1155457664 1173511690 1180992640 1199445650 1260375400 1310790416 1335997924 1417070720 1444322080 1448387200 1476240800 1476554560 1535290432 1638488020 1669997405 1771338400 1805402600 1845693200 1877618704 1919113040 2016600640 2048110025 2074716800 2347023380 2398891300 2520750800 2621580832 2671995848 2888644160 2933779225 2952481600 2953109120 3070580864 3276976040 3339994810 3542676800 3610805200 3691386400 3755237408 3838226080 4033201280 4096220050 4341993253 4694046760 4797782600 5041501600 5243161664 5343991696 5777288320 5867558450 5904963200 6553952080 6679989620 7085353600 7221610400 7382772800 7510474816 7676452160 8192440100 8349987025 8683986506 9388093520 9595565200 10083003200 10486323328 10687983392 11735116900 13107904160 13359979240 14443220800 14765545600 15020949632 15352904320 16384880200 16699974050 17367973012 18776187040 19191130400 20166006400 21375966784 21709966265 23470233800 26215808320 26719958480 28886441600 32769760400 33399948100 34735946024 37552374080 38382260800 42751933568 43419932530 46940467600 52431616640 53439916960 65539520800 66799896200 69471892048 75104748160 76764521600 86839865060 93880935200 106879833920 108549831325 131079041600 133599792400 138943784096 173679730120 187761870400 213759667840 217099662650 262158083200 267199584800 277887568192 347359460240 375523740800 434199325300 534399169600 555775136384 694718920480 868398650600 1068798339200 1389437840960 1736797301200 2778875681920 3473594602400 6947189204800 13894378409600
- Sum of all divisors σ(n): 38934047748960
- Sum of proper divisors (its aliquot sum) s(n): 25039669339360
- 13894378409600 is an abundant number, because the sum of its proper divisors (25039669339360) is greater than itself. Its abundance is 11145290929760
Bases of 13894378409600
- Binary: 110010100011000010010111110101001110100000002
- Hexadecimal: 0xCA3097D4E80
- Base-36: 4XAZM5V28
Squares and roots of 13894378409600
- 13894378409600 squared (138943784096002) is 193053751389158625372160000
- 13894378409600 cubed (138943784096003) is 2682361875193811611880554668916736000000
-
The
square root of 13894378409600 is 3727516.3862282349 -
The
cube root of 13894378409600 is 24040.6593248683
Scales and comparisons
How big is 13894378409600?- 13,894,378,409,600 seconds is equal to 441,798 years, 13 weeks, 1 day, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,894,378,409,600 would take you about one million, one hundred four thousand, four hundred ninety-five 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 13894378409600 cubic inches would be around 2003.4 feet tall.
Recreational maths with 13894378409600
- 13894378409600 backwards is 00690487349831
- The number of decimal digits it has is: 14
- The sum of 13894378409600's digits is 62
- More coming soon!
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The information we have on file for 13894378409600 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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