1338828237824
1,338,828,237,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1338828237824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 704 divisors.
1338828237824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 1338828237824:
210 × 7 × 11 × 19 × 41 × 71 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 19 × 41 × 71 × 307)See below for interesting mathematical facts about the number 1338828237824 from the Numbermatics database.
Names of 1338828237824
- Cardinal: 1338828237824 can be written as One trillion, three hundred thirty-eight billion, eight hundred twenty-eight million, two hundred thirty-seven thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.338828237824 × 1012
Factors of 1338828237824
Divisors of 1338828237824
- Number of divisors d(n): 704
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Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 32 38 41 44 56 64 71 76 77 82 88 112 128 133 142 152 154 164 176 209 224 256 266 284 287 304 307 308 328 352 418 448 451 497 512 532 568 574 608 614 616 656 704 779 781 836 896 902 994 1024 1064 1136 1148 1216 1228 1232 1312 1349 1408 1463 1558 1562 1672 1792 1804 1988 2128 2149 2272 2296 2432 2456 2464 2624 2698 2816 2911 2926 3116 3124 3157 3344 3377 3584 3608 3976 4256 4298 4544 4592 4864 4912 4928 5248 5396 5453 5467 5632 5822 5833 5852 6232 6248 6314 6688 6754 7168 7216 7952 8512 8569 8596 9088 9184 9443 9728 9824 9856 10496 10792 10906 10934 11264 11644 11666 11704 12464 12496 12587 12628 13376 13508 14432 14839 15904 17024 17138 17192 18176 18368 18886 19456 19648 19712 20377 20992 21584 21797 21812 21868 23288 23332 23408 23639 24928 24992 25174 25256 26752 27016 28864 29678 31808 32021 34048 34276 34384 36352 36736 37772 39296 39424 40754 40831 41984 43168 43594 43624 43736 46576 46664 46816 47278 49856 49984 50348 50512 53504 54032 55309 57728 59356 59983 63616 64042 64163 68096 68552 68768 72704 73472 75544 78592 78848 81508 81662 86336 87188 87248 87472 88109 93152 93328 93632 94556 99712 99968 100696 101024 103873 107008 108064 110618 115456 118712 119966 127232 128084 128326 136192 137104 137536 138457 146944 151088 152579 157184 163016 163324 172672 174376 174496 174944 176218 186304 186656 187264 189112 199424 199936 201392 202048 207746 214016 216128 221236 224147 230912 237424 239153 239767 239932 254464 256168 256652 274208 275072 276914 293888 302176 305158 314368 326032 326648 345344 348752 348992 349888 352436 372608 373312 374528 378224 387163 398848 399872 402784 404096 414143 415492 432256 442472 448294 449141 461824 474848 478306 479534 479864 508928 512336 513304 548416 550144 553828 604352 608399 610316 652064 653296 690688 697504 697984 699776 704872 745216 746624 749056 756448 774326 797696 799744 805568 808192 828286 830984 864512 884944 893677 896588 898282 949696 956612 959068 959728 969199 1024672 1026608 1096832 1100288 1107656 1208704 1216798 1220632 1304128 1306592 1381376 1395008 1395968 1399552 1409744 1490432 1493248 1498112 1512896 1548652 1611136 1616384 1656572 1661968 1674071 1678369 1729024 1769888 1787354 1793176 1796564 1899392 1913224 1918136 1919456 1938398 2049344 2053216 2193664 2200576 2215312 2417408 2433596 2441264 2608256 2613184 2630683 2790016 2791936 2799104 2819488 2899001 2980864 2986496 3025792 3097304 3222272 3232768 3313144 3323936 3348142 3356738 3458048 3539776 3574708 3586352 3593128 3798784 3826448 3836272 3838912 3876796 4098688 4106432 4258793 4387328 4430624 4555573 4834816 4867192 4882528 5216512 5226368 5261366 5580032 5583872 5598208 5638976 5798002 5972992 6051584 6194608 6255739 6444544 6626288 6647872 6696284 6713476 7079552 7149416 7172704 7186256 7597568 7652896 7672544 7677824 7753592 8197376 8212864 8517586 8774656 8861248 9111146 9669632 9734384 9765056 9830447 10433024 10452736 10522732 11160064 11277952 11596004 12103168 12389216 12511478 12889088 13252576 13295744 13392568 13426952 14159104 14298832 14345408 14372512 15195136 15305792 15345088 15355648 15507184 16394752 16425728 16979863 17035172 17722496 18222292 18414781 19468768 19530112 19660894 20866048 20905472 21045464 22320128 22555904 23192008 24206336 24778432 25022956 26505152 26591488 26785136 26853904 28318208 28597664 28690816 28745024 30611584 30690176 30711296 31014368 31889011 32789504 32851456 33959726 34070344 35444992 36444584 36829562 38937536 39060224 39321788 41810944 42090928 45111808 46384016 49556864 50045912 53010304 53182976 53570272 53707808 56636416 57195328 57381632 57490048 61223168 61380352 61422592 62028736 63778022 65702912 67919452 68140688 68813129 70889984 72889168 73659124 77875072 78120448 78643576 84181856 90223616 92768032 99113728 100091824 106020608 106365952 107140544 107415616 114390656 114763264 114980096 118859041 122446336 122760704 124057472 127556044 135838904 136281376 137626258 141779968 145778336 147318248 155750144 156240896 157287152 168363712 185536064 186778493 198227456 200183648 212041216 214281088 214831232 228781312 229526528 229960192 237718082 244892672 245521408 248114944 255112088 271677808 272562752 275252516 291556672 294636496 311500288 314574304 336727424 371072128 373556986 396454912 400367296 424082432 428562176 429662464 457562624 459920384 475436164 496229888 510224176 543355616 545125504 550505032 583113344 589272992 623000576 629148608 673454848 742144256 747113972 800734592 857124352 859324928 915125248 950872328 992459776 1020448352 1086711232 1090251008 1101010064 1166226688 1178545984 1258297216 1307449451 1346909696 1484288512 1494227944 1601469184 1714248704 1718649856 1901744656 2040896704 2173422464 2180502016 2202020128 2332453376 2357091968 2516594432 2614898902 2693819392 2968577024 2988455888 3202938368 3803489312 4081793408 4346844928 4361004032 4404040256 4664906752 4714183936 5033188864 5229797804 5976911776 6405876736 7606978624 8163586816 8693689856 8808080512 9428367872 10066377728 10459595608 11953823552 15213957248 16327173632 17387379712 17616161024 18856735744 20919191216 23907647104 30427914496 32654347264 35232322048 41838382432 47815294208 60855828992 70464644096 83676764864 95630588416 121711657984 167353529728 191261176832 334707059456 669414118912 1338828237824
- Sum of all divisors σ(n): 3660594094080
- Sum of proper divisors (its aliquot sum) s(n): 2321765856256
- 1338828237824 is an abundant number, because the sum of its proper divisors (2321765856256) is greater than itself. Its abundance is 982937618432
Bases of 1338828237824
- Binary: 100110111101110000110000110101100000000002
- Hexadecimal: 0x137B861AC00
- Base-36: H31RRJSW
Squares and roots of 1338828237824
- 1338828237824 squared (13388282378242) is 1792461050394917104254976
- 1338828237824 cubed (13388282378243) is 2399797469468382925976246410463412224
-
The
square root of 1338828237824 is 1157077.4554125579 -
The
cube root of 1338828237824 is 11021.5232523153
Scales and comparisons
How big is 1338828237824?- 1,338,828,237,824 seconds is equal to 42,570 years, 31 weeks, 4 hours, 43 minutes, 44 seconds.
-
To count from 1 to 1,338,828,237,824 would take you about one hundred six thousand, four hundred twenty-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 1338828237824 cubic inches would be around 918.5 feet tall.
Recreational maths with 1338828237824
- 1338828237824 backwards is 4287328288331
- The number of decimal digits it has is: 13
- The sum of 1338828237824's digits is 59
- More coming soon!
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The information we have on file for 1338828237824 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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