138971003417106696
138,971,003,417,106,696 is an even composite number composed of five prime numbers multiplied together.
138971003417106696 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138971003417106696:
23 × 32 × 113 × 315 × 373
(2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 31 × 31 × 31 × 31 × 31 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138971003417106696 from the Numbermatics database.
Names of 138971003417106696
- Cardinal: 138971003417106696 can be written as One hundred thirty-eight quadrillion, nine hundred seventy-one trillion, three billion, four hundred seventeen million, one hundred six thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.38971003417106696 × 1017
Factors of 138971003417106696
Divisors of 138971003417106696
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 37 44 62 66 72 74 88 93 99 111 121 124 132 148 186 198 222 242 248 264 279 296 333 341 363 372 396 407 444 484 558 666 682 726 744 792 814 888 961 968 1023 1089 1116 1147 1221 1331 1332 1364 1369 1452 1628 1922 2046 2178 2232 2294 2442 2662 2664 2728 2738 2883 2904 3069 3256 3441 3663 3751 3844 3993 4092 4107 4356 4477 4588 4884 5324 5476 5766 6138 6882 7326 7502 7688 7986 8184 8214 8649 8712 8954 9176 9768 10323 10571 10648 10952 11253 11532 11979 12276 12321 12617 13431 13764 14652 15004 15059 15972 16428 17298 17908 20646 21142 22506 23064 23958 24552 24642 25234 26862 27528 29304 29791 30008 30118 31713 31944 32856 33759 34596 35557 35816 37851 40293 41261 41292 42284 42439 45012 45177 47916 49247 49284 50468 50653 53724 59582 60236 63426 67518 69192 71114 75702 80586 82522 82584 84568 84878 89373 90024 90354 95139 95832 98494 98568 100936 101306 106671 107448 113553 116281 119164 120472 123783 126852 127317 135036 135531 138787 142228 147741 151404 151959 161172 165044 165649 169756 178746 180708 190278 196988 202612 213342 227106 232562 238328 247566 253704 254634 268119 270072 271062 277574 284456 295482 302808 303918 320013 322344 327701 330088 331298 339512 348843 357492 361416 371349 380556 381951 391127 393976 405224 416361 426684 443223 454212 455877 465124 466829 495132 496947 509268 536238 542124 555148 557183 590964 607836 640026 655402 662596 697686 714984 742698 761112 763902 782254 832722 853368 886446 908424 911754 923521 930248 933658 983103 990264 993894 1018536 1046529 1072476 1084248 1102267 1110296 1114366 1173381 1181928 1215672 1249083 1279091 1280052 1310804 1315609 1325192 1395372 1400487 1485396 1490841 1526657 1527804 1564508 1570243 1665444 1671549 1772892 1822139 1823508 1847042 1867316 1966206 1987788 2093058 2144952 2204534 2228732 2346762 2498166 2558182 2560104 2621608 2631218 2770563 2790744 2800974 2949309 2970792 2981682 3053314 3055608 3129016 3140486 3306801 3330888 3343098 3520143 3545784 3604711 3644278 3647016 3694084 3734632 3837273 3932412 3946827 3975576 4186116 4201461 4302397 4409068 4457464 4579971 4693524 4710729 4996332 5014647 5116364 5135119 5262436 5466417 5541126 5601948 5898618 5963364 6106628 6129013 6280972 6613602 6686196 7040286 7209422 7288556 7388168 7674546 7864824 7893654 8311689 8372232 8402922 8604794 8818136 9159942 9387048 9421458 9920403 9992664 10029294 10158731 10232728 10270238 10524872 10814133 10932834 11082252 11203896 11511819 11797236 11840481 11926728 12124937 12213256 12258026 12561944 12907191 13227204 13372392 13739913 14080572 14132187 14418844 14471699 14577112 15349092 15405357 15787308 16399251 16623378 16805844 17209588 17272673 18319884 18387039 18842916 19840806 20058588 20317462 20540476 21628266 21865668 22164504 23023638 23594472 23680962 24249874 24516052 25814382 26454408 27479826 28161144 28264374 28629151 28837688 28943398 30476193 30698184 30810714 31574616 32442399 32798502 33246756 33611688 34170277 34419176 34545346 36374811 36639768 36774078 37685832 38721573 39651821 39681612 40117176 40634924 40783879 41080952 43256532 43415097 43731336 46047276 46216071 47326367 47361924 48499748 48677533 49032104 51628764 51818019 54959652 55161117 56486309 56528748 57258302 57886796 60952386 61621428 64884798 65597004 66493512 67419143 68340554 69090692 72749622 73548156 77443146 79303642 79363224 81269848 81567758 85887453 86513064 86830194 91428579 92094552 92432142 94652734 94723848 96999496 97355066 102510831 103257528 103636038 109124433 109919304 110322234 111746041 112972618 113057496 114516604 115773592 118955463 121904772 122351637 123242856 129769596 130245291 131194008 133374307 134838286 136681108 138181384 141979101 145499244 146032599 147096312 154886292 155454057 158607284 159188689 163135516 169458927 171774906 173660388 182857158 184864284 189305468 189999403 194710132 202257429 205021662 207272076 218248866 220644468 223492082 225945236 229033208 237910926 243809544 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259159185692 272883832122 279649546968 280674655278 297691453224 298782697554 304843199848 305960660258 313546461752 325700057694 333775265736 342948599829 352739769471 355309153848 363845109496 365178852566 374232873704 384518127081 388738778538 398376930072 409325748183 419474320452 421011982917 424078667496 431126384909 434266743592 457264799772 458940990387 470319692628 488550086541 500662898604 512690836108 514570201343 518318371384 545767664244 547768278849 561349310556 583108167807 597565395108 611921320516 651400115388 685897199658 705479538942 730357705132 769036254162 777477557076 818651496366 838948640904 842023965834 862252769818 914529599544 917881980774 940639385256 977100173082 1001325797208 1025381672216 1029140402686 1091535328488 1095536557698 1122698621112 1153554381243 1166216335614 1195130790216 1223842641032 1293379154727 1302800230776 1371794399316 1376822971161 1409899799297 1410959077884 1450152385603 1460715410264 1538072508324 1543710604029 1554955114152 1637302992732 1643304836547 1682783631419 1684047931668 1724505539636 1835763961548 1954200346164 2008483689113 2058280805372 2191073115396 2307108762486 2332432671228 2586758309454 2743588798632 2753645942322 2819799598594 2821918155768 2900304771206 3076145016648 3087421208058 3274605985464 3286609673094 3365567262838 3368095863336 3449011079272 3671527923096 3880137464181 3908400692328 4016967378226 4116561610744 4229699397891 4350457156809 4382146230792 4614217524972 4631131812087 4664865342456 4742390233999 5048350894257 5173516618908 5507291884644 5639599197188 5660272214773 5800609542412 6025451067339 6174842416116 6573219346188 6731134525676 7760274928362 8033934756452 8459398795782 8700914313618 9228435049944 9262263624174 9484780467998 10096701788514 10347033237816 11014583769288 11279198394376 11320544429546 11601219084824 12050902134678 12349684832232 12689098193673 13051371470427 13146438692376 13462269051352 14227170701997 15145052682771 15520549856724 15951676241633 16067869512904 16918797591564 16980816644319 17401828627236 18076353202017 18524527248348 18969560935996 20193403577028 22641088859092 24101804269356 25378196387346 26102742940854 28454341403994 30290105365542 31041099713448 31903352483266 33837595183128 33961633288638 34803657254472 36152706404034 37049054496696 37939121871992 40386807154056 42681512105991 45282177718184 47855028724899 48203608538712 50756392774692 50942449932957 52166292573989 52205485881708 56908682807988 60580210731084 62262994362503 63806704966532 67923266577276 72305412808068 85363024211982 95710057449798 101512785549384 101884899865914 104332585147978 104410971763416 113817365615976 121160421462168 124525988725006 127613409933064 135846533154552 143565086174697 144610825616136 156498877721967 170726048423964 175468438657963 186788983087509 191420114899596 203769799731828 208665170295956 249051977450012 287130172349394 312997755443934 341452096847928 350936877315926 373577966175018 382840229799192 407539599463656 417330340591912 469496633165901 498103954900024 526405315973889 560366949262527 574260344698788 625995510887868 701873754631852 747155932350036 938993266331802 1052810631947778 1120733898525054 1148520689397576 1251991021775736 1403747509263704 1494311864700072 1579215947921667 1877986532663604 1930152825237593 2105621263895556 2241467797050108 3158431895843334 3755973065327208 3860305650475186 4211242527791112 4482935594100216 5790458475712779 6316863791686668 7720611300950372 11580916951425558 12633727583373336 15441222601900744 17371375427138337 23161833902851116 34742750854276674 46323667805702232 69485501708553348 138971003417106696
- Sum of all divisors σ(n): 439671950082892800
- Sum of proper divisors (its aliquot sum) s(n): 300700946665786104
- 138971003417106696 is an abundant number, because the sum of its proper divisors (300700946665786104) is greater than itself. Its abundance is 161729943248679408
Bases of 138971003417106696
- Binary: 1111011011011100101100100001011001100000110011001000010002
- Hexadecimal: 0x1EDB9642CC19908
- Base-36: 120D3XM5KFM0
Squares and roots of 138971003417106696
- 138971003417106696 squared (1389710034171066962) is 19312939790757480976250171848036416
- 138971003417106696 cubed (1389710034171066963) is 2683938621655733767192689787930547961011931565441536
-
The
square root of 138971003417106696 is 372788148.1714603759 -
The
cube root of 138971003417106696 is 517974.1237913859
Scales and comparisons
How big is 138971003417106696?- 138,971,003,417,106,696 seconds is equal to 4,418,848,043 years, 6 weeks, 3 days, 23 hours, 51 minutes, 36 seconds.
-
To count from 1 to 138,971,003,417,106,696 would take you about thirteen billion, two hundred fifty-six million, five hundred forty-four thousand, one hundred twenty-nine 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 138971003417106696 cubic inches would be around 43164.5 feet tall.
Recreational maths with 138971003417106696
- 138971003417106696 backwards is 696601714300179831
- 138971003417106696 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138971003417106696's digits is 72
- More coming soon!
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"Number 138971003417106696 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138971003417106696 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138971003417106696/
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The information we have on file for 138971003417106696 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 138971003417106696, math, Factors of 138971003417106696, curriculum, school, college, exams, university, Prime factorization of 138971003417106696, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred seventy-one trillion, three billion, four hundred seventeen million, one hundred six thousand, six hundred ninety-six.