138828294982728
138,828,294,982,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 138828294982728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138828294982728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138828294982728:
23 × 36 × 13 × 19 × 233 × 892
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 23 × 23 × 23 × 89 × 89)See below for interesting mathematical facts about the number 138828294982728 from the Numbermatics database.
Names of 138828294982728
- Cardinal: 138828294982728 can be written as One hundred thirty-eight trillion, eight hundred twenty-eight billion, two hundred ninety-four million, nine hundred eighty-two thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38828294982728 × 1014
Factors of 138828294982728
Divisors of 138828294982728
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 19 23 24 26 27 36 38 39 46 52 54 57 69 72 76 78 81 89 92 104 108 114 117 138 152 156 162 171 178 184 207 216 228 234 243 247 267 276 299 312 324 342 351 356 414 437 456 468 486 494 513 529 534 552 598 621 648 684 702 712 729 741 801 828 874 897 936 972 988 1026 1053 1058 1068 1157 1196 1242 1311 1368 1404 1458 1482 1539 1587 1602 1656 1691 1748 1794 1863 1944 1976 2047 2052 2106 2116 2136 2223 2314 2392 2403 2484 2622 2691 2808 2916 2964 3078 3159 3174 3204 3382 3471 3496 3588 3726 3933 4094 4104 4212 4232 4446 4617 4628 4761 4806 4968 5073 5244 5382 5589 5681 5832 5928 6141 6156 6318 6348 6408 6669 6764 6877 6942 7176 7209 7452 7866 7921 8073 8188 8424 8892 9234 9256 9477 9522 9612 10051 10146 10413 10488 10764 11178 11362 11799 12167 12282 12312 12636 12696 13338 13528 13754 13851 13884 14283 14418 14904 15219 15732 15842 16146 16376 16767 17043 17784 18423 18468 18954 19044 19224 20007 20102 20292 20631 20826 21528 21627 21983 22356 22724 23598 23763 24219 24334 24564 25272 26611 26676 27508 27702 27768 28566 28836 30153 30438 31239 31464 31684 32292 33534 34086 35397 36501 36846 36936 37908 38088 38893 40014 40204 40584 41262 41652 42849 43254 43966 44712 45448 45657 47081 47196 47526 48438 48668 49128 51129 53222 53352 55016 55269 55404 57132 57672 60021 60306 60876 61893 62478 63368 64584 64881 65949 67068 68172 70794 71289 72657 73002 73692 75816 77786 79833 80028 80408 82524 83304 85698 86508 87932 90459 91314 93717 94162 94392 95052 96876 97336 102258 102973 106191 106444 109503 110538 110808 114264 116679 120042 120612 121752 123786 124956 128547 129762 130663 131898 134136 136344 136971 141243 141588 142578 145314 146004 147384 150499 153387 155572 158171 159666 160056 165048 165807 171396 173016 175864 180063 180918 182183 182628 185679 187434 188324 190104 193752 197847 204516 205946 212382 212888 213867 217971 219006 221076 231173 233358 239499 240084 241224 247572 249912 257094 259524 261326 263796 271377 273942 281151 282486 283176 285156 290628 292008 300998 306774 308919 311144 316342 318573 319332 328509 331614 342792 350037 360126 361836 364366 365256 371358 374868 376648 385641 391989 395694 409032 410913 411892 423729 424764 427734 435942 438012 442152 451497 460161 462346 466716 474513 478998 480168 495144 497421 505609 514188 519048 522652 527592 542754 546549 547884 557037 562302 564972 570312 581256 593541 601996 612053 613548 617838 632684 637146 638664 641601 657018 663228 693519 700074 718497 720252 723672 728732 742716 749736 771282 783978 791388 814131 821826 823784 843453 847458 849528 855468 871884 876024 894539 902994 920322 924692 926757 933432 949026 957996 985527 994842 1011218 1028376 1045304 1050111 1082863 1085508 1093098 1095768 1114074 1124604 1129944 1175967 1187082 1203992 1224106 1227096 1232739 1235676 1265368 1271187 1274292 1283202 1314036 1326456 1354491 1380483 1387038 1400148 1423539 1436994 1440504 1457464 1485432 1492263 1516827 1542564 1567956 1582776 1628262 1639647 1643652 1671111 1686906 1694916 1710936 1743768 1780623 1789078 1805988 1836159 1840644 1849384 1853514 1898052 1915992 1924803 1956487 1971054 1989684 2022436 2080557 2100222 2155491 2165726 2171016 2186196 2228148 2249208 2351934 2368379 2374164 2442393 2448212 2465478 2471352 2542374 2548584 2566404 2628072 2683617 2708982 2760966 2774076 2780271 2800296 2847078 2873988 2956581 2984526 3005249 3033654 3085128 3135912 3150333 3248589 3256524 3279294 3287304 3342222 3373812 3389832 3461477 3527901 3561246 3578156 3611976 3672318 3681288 3707028 3796104 3813561 3849606 3912974 3942108 3979368 4044872 4063473 4141449 4161114 4190209 4200444 4270617 4310982 4331452 4372392 4456296 4550481 4703868 4736758 4748328 4884786 4896424 4918941 4930956 5013333 5084748 5132808 5341869 5367234 5417964 5508477 5521932 5548152 5560542 5694156 5747976 5774409 5869461 5913162 5969052 6010498 6067308 6241671 6300666 6466473 6497178 6513048 6558588 6684444 6747624 6922954 7055802 7105137 7122492 7156312 7327179 7344636 7414056 7627122 7699212 7825948 7884216 8050851 8126946 8282898 8322228 8340813 8380418 8400888 8541234 8621964 8662904 8869743 9015747 9100962 9407736 9450999 9473516 9745767 9769572 9837882 9861912 10026666 10169496 10384431 10583703 10683738 10734468 10835928 11016954 11043864 11121084 11388312 11440683 11548818 11629007 11738922 11826324 11938104 12020996 12134616 12190419 12483342 12570627 12601332 12811851 12932946 12994356 13117176 13368888 13651443 13845908 14077219 14111604 14210274 14244984 14654358 14689272 14756823 15254244 15398424 15651896 16025607 16101702 16253892 16525431 16565796 16644456 16681626 16760836 17082468 17243928 17608383 17739486 18031494 18201924 18725013 18901998 18947032 19399419 19491534 19539144 19675764 20053332 20574397 20768862 21167406 21315411 21367476 21468936 22033908 22242168 22881366 23097636 23258014 23477844 23652648 24041992 24152553 24380838 24966684 25022439 25141254 25202664 25623702 25865892 25988712 27047241 27302886 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6906193164 6938986104 7221613347 7289870562 7324485332 7517234946 7535596536 7806359367 8145766296 8279852984 8477546103 8598308868 8763306084 8824580154 9122037912 9314834607 9628817796 9719827416 9999156942 10022979928 10093666932 10262292651 10408479156 10934805843 10986727998 11275852419 11303394804 11410232184 11766106872 12218649444 12419779476 12897463302 13236870231 13332209256 13683056868 13812386328 14443226694 14579741124 14648970664 14998735413 15034469892 15612718734 16480091997 16955092206 17196617736 17526612168 17649160308 18629669214 19257635592 19346194953 19998313884 20187333864 20524585302 20816958312 21664840041 21869611686 21973455996 22551704838 22606789608 23419078101 23804577329 24437298888 24839558952 25794926604 26473740462 27366113736 27944503821 28886453388 29159482248 29997470826 30068939784 31225437468 32804417529 32960183994 33827557257 33910184412 35298320616 37259338428 38692389906 39710610693 39996627768 41049170604 43329680082 43739223372 43946911992 45103409676 46838156202 47609154658 49440275991 51589853208 52947480924 55889007642 57772906776 58038584859 59994941652 62450874936 64994520123 65608835058 65920367988 67655114514 67820368824 70257234303 71413731987 74518676856 77384779812 79421221386 82098341208 83833511463 86659360164 87478446744 90206819352 93676312404 95218309316 98880551982 101482671771 105894961848 111778015284 116077169718 119989883304 129989040246 131217670116 131840735976 135310229028 140514468606 142827463974 148320827973 154769559624 158842442772 167667022926 173318720328 187352624808 190436618632 194983560369 197761103964 202965343542 214241195961 223556030568 232154339436 251500534389 259978080492 262435340232 270620458056 281028937212 285654927948 296641655946 304448015313 317684885544 335334045852 389967120738 395522207928 405930687084 428482391922 444962483919 464308678872 503001068778 519956160984 562057874424 571309855896 593283311892 608896030626 642723587883 670668091704 754501603167 779934241476 811861374168 856964783844 889924967838 913344045939 1006002137556 1186566623784 1217792061252 1285447175766 1334887451757 1509003206334 1559868482952 1713929567688 1779849935676 1826688091878 1928170763649 2012004275112 2435584122504 2570894351532 2669774903514 3018006412668 3559699871352 3653376183756 3856341527298 5141788703064 5339549807028 5784512290947 6036012825336 7306752367512 7712683054596 10679099614056 11569024581894 15425366109192 17353536872841 23138049163788 34707073745682 46276098327576 69414147491364 138828294982728
- Sum of all divisors σ(n): 467781772752000
- Sum of proper divisors (its aliquot sum) s(n): 328953477769272
- 138828294982728 is an abundant number, because the sum of its proper divisors (328953477769272) is greater than itself. Its abundance is 190125182786544
Bases of 138828294982728
- Binary: 111111001000011011110110011010100001100010010002
- Hexadecimal: 0x7E437B350C48
- Base-36: 1D7KU6E4I0
Squares and roots of 138828294982728
- 138828294982728 squared (1388282949827282) is 19273295487811340377818321984
- 138828294982728 cubed (1388282949827283) is 2675678751271153306651695989794059222692352
-
The
square root of 138828294982728 is 11782541.9576052433 -
The
cube root of 138828294982728 is 51779.6761628795
Scales and comparisons
How big is 138828294982728?- 138,828,294,982,728 seconds is equal to 4,414,310 years, 18 weeks, 3 days, 16 hours, 58 minutes, 48 seconds.
-
To count from 1 to 138,828,294,982,728 would take you about eleven million, thirty-five thousand, seven hundred seventy-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 138828294982728 cubic inches would be around 4315 feet tall.
Recreational maths with 138828294982728
- 138828294982728 backwards is 827289492828831
- 138828294982728 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138828294982728's digits is 81
- More coming soon!
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MLA style:
"Number 138828294982728 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138828294982728 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138828294982728/
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The information we have on file for 138828294982728 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!
Keywords: Divisors of 138828294982728, math, Factors of 138828294982728, curriculum, school, college, exams, university, Prime factorization of 138828294982728, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred twenty-eight billion, two hundred ninety-four million, nine hundred eighty-two thousand, seven hundred twenty-eight.