138113971000968
138,113,971,000,968 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138113971000968 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138113971000968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138113971000968:
23 × 3 × 192 × 312 × 41 × 43 × 972
(2 × 2 × 2 × 3 × 19 × 19 × 31 × 31 × 41 × 43 × 97 × 97)See below for interesting mathematical facts about the number 138113971000968 from the Numbermatics database.
Names of 138113971000968
- Cardinal: 138113971000968 can be written as One hundred thirty-eight trillion, one hundred thirteen billion, nine hundred seventy-one million, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38113971000968 × 1014
Factors of 138113971000968
Divisors of 138113971000968
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 8 12 19 24 31 38 41 43 57 62 76 82 86 93 97 114 123 124 129 152 164 172 186 194 228 246 248 258 291 328 344 361 372 388 456 492 516 582 589 722 744 776 779 817 961 984 1032 1083 1164 1178 1271 1333 1444 1558 1634 1763 1767 1843 1922 2166 2328 2337 2356 2451 2542 2666 2883 2888 3007 3116 3268 3526 3534 3686 3813 3844 3977 3999 4171 4332 4674 4712 4902 5084 5289 5332 5529 5766 6014 6232 6536 7052 7068 7372 7626 7688 7954 7998 8342 8664 9021 9348 9409 9804 10168 10578 10664 11058 11191 11532 11931 12028 12513 14104 14136 14744 14801 15252 15523 15908 15996 16684 18042 18259 18696 18818 19608 21156 22116 22382 23064 23862 24056 24149 25026 25327 28227 29602 30504 31046 31816 31992 33368 33497 33573 35017 36084 36518 37636 39401 41323 42312 44232 44403 44764 46569 47724 48298 50052 50654 54653 54777 56454 57133 59204 62092 66994 67146 70034 72168 72447 73036 75272 75563 75981 78802 79249 82646 88806 89528 93138 93217 95448 96596 100104 100491 101308 105051 109306 109554 112908 114266 118203 118408 123287 123969 124184 129301 133988 134292 140068 144894 146072 151126 151962 157604 158498 163959 165292 171011 171399 177612 178771 186276 186434 193192 200982 202616 210102 218612 219108 225816 226689 228532 236406 237747 246574 247938 258602 267976 268584 279651 280136 289788 291679 302252 303924 315208 316996 327918 330584 342022 342798 346921 355224 357542 369861 372552 372868 385769 387903 401964 404587 420204 437224 438216 453378 457064 458831 472812 475494 481213 493148 495876 513033 517204 536313 559302 579576 583358 604504 607848 633992 636443 655836 684044 685596 693842 715084 739722 745736 748619 771538 775806 785137 803928 809174 840408 875037 906756 917662 945624 950988 962426 986296 991752 1026066 1034408 1038407 1040763 1072626 1085527 1118604 1157307 1166716 1213761 1272886 1311672 1368088 1371192 1376493 1387684 1430168 1435697 1443639 1479444 1497238 1505731 1543076 1551612 1570274 1618348 1694243 1750074 1771123 1813512 1835324 1901976 1909329 1924852 2052132 2076814 2081526 2145252 2171054 2237208 2245857 2314614 2333432 2342453 2355411 2427522 2456719 2545772 2752986 2775368 2871394 2887278 2958888 2994476 3011462 3086152 3103224 3115221 3140548 3236696 3249209 3256581 3388486 3396649 3500148 3542246 3670648 3818658 3821897 3849704 4008331 4104264 4153628 4163052 4290504 4307091 4342108 4491714 4517193 4629228 4684906 4710822 4855044 4913438 5082729 5091544 5301341 5313369 5505972 5541901 5742788 5774556 5988952 6022924 6230442 6281096 6498418 6513162 6776972 6793298 7000296 7027359 7084492 7329611 7370157 7637316 7643794 7687153 8016662 8307256 8326104 8614182 8684216 8983428 9034386 9042049 9258456 9369812 9421644 9710088 9747627 9826876 10165458 10189947 10602682 10626738 11011944 11083802 11465691 11485576 11549112 11958839 12024993 12045848 12460884 12542197 12996836 13026324 13553944 13586596 14054718 14168984 14223761 14659222 14740314 14917603 15274632 15287588 15374306 15904023 16033324 16588067 16625703 17228364 17966856 18068772 18084098 18739624 18843288 19495254 19653752 19729733 20330916 20379894 21205364 21253476 21988833 22167604 22931382 23061459 23917678 24049986 24921768 25084394 25993672 26052648 27126147 27173192 28109436 28447522 29318444 29480628 29835206 30575176 30748612 31808046 32066648 32190617 33176134 33251406 33651337 34456728 35876517 36137544 36168196 37626591 38990508 39459466 40661832 40759788 42410728 42506952 42671283 43977666 44335208 44506607 44752809 45862764 46122918 46677661 47835356 48099972 49764201 50168788 54252294 56218872 56895044 58636888 58961256 59189199 59670412 61497224 61734971 63616092 64381234 66352268 66502812 67302674 71753034 72336392 72616043 75253182 76158289 77981016 78918932 81519576 85342566 87955332 89013214 89505618 91725528 92245836 93355322 95670712 96199944 96571851 99528402 100337576 100725479 100954011 105296119 108504588 113790088 118378398 119340824 123469942 127232184 128762468 132704536 133005624 133519821 134605348 139262609 140032983 143506068 145232086 146055907 150506364 152316578 157837864 164341571 170685132 171798931 175910664 178026428 179011236 184491672 185204913 186710644 193143702 199056804 201450958 201908022 210592238 217009176 217848129 227217941 228474867 236756796 238301743 246939884 257524936 267039642 269210696 278525218 280065966 287012136 290464172 292111814 301012728 302176437 304633156 315173273 315888357 328683142 341370264 343597862 356052856 358022472 370409826 370724009 373421288 386287404 388808107 398113608 402901916 403816044 417787827 421184476 435696258 438167721 454435882 456949734 473513592 476603486 493024713 493879768 514230077 515396793 534079284 557050436 560131932 580928344 584223628 604352874 609266312 611621723 630346546 631776714 657366284 681653823 687195724 714905229 740819652 741448018 772574808 777616214 805803832 807632088 835575654 842368952 871392516 876335442 908871764 913899468 945519819 953206972 986049426 1028460154 1030793586 1068158568 1112172027 1114100872 1120263864 1166424321 1168447256 1208705748 1223243446 1260693092 1263553428 1314732568 1363307646 1374391448 1379704817 1429810458 1447007491 1481639304 1482896036 1542690231 1555232428 1671151308 1742785032 1752670884 1817743528 1827798936 1834865169 1891039638 1906413944 1913784101 1972098852 2056920308 2061587172 2224344054 2332848642 2417411496 2446486892 2521386184 2527106856 2726615292 2759409634 2859620916 2894014982 2965792072 3085380462 3110464856 3122489849 3264179689 3342302616 3505341768 3669730338 3782079276 3827568202 3944197704 4113840616 4123174344 4139114451 4317140879 4341022473 4448688108 4527733117 4665697284 4892973784 5453230584 5518819268 5719241832 5741352303 5788029964 5988292187 6170760924 6244979698 6528359378 7043756171 7339460676 7387354033 7564158552 7655136404 8278228902 8634281758 8682044946 8897376216 9055466234 9331394568 9367469547 9770371463 9792539067 11037638536 11482704606 11576059928 11976584374 12341521848 12489959396 12951422637 13056718756 13583199351 14087512342 14678921352 14774708066 15310272808 15941132387 16556457804 17268563516 17364089892 17964876561 18110932468 18734939094 19540742926 19585078134 21131268513 22162062099 22965409212 23953168748 24979918792 25902845274 26113437512 27166398702 28175024684 29311114389 29549416132 31882264774 33112915608 34537127032 34728179784 35929753122 36221864936 37469878188 39081485852 39170156268 42262537026 44324124198 45930818424 47823397161 47906337496 51805690548 54332797404 56350049368 58622228778 59098832264 59327307131 63764529548 71859506244 74939756376 78162971704 78340312536 84525074052 88648248396 95646794322 103611381096 108665594808 117244457556 118654614262 127529059096 133831367249 140359726627 143719012488 169050148104 177296496792 177981921393 185637057797 191293588644 234488915112 237309228524 267662734498 280719453254 302881515353 355963842786 371274115594 382587177288 401494101747 421079179881 474618457048 535325468996 556911173391 561438906508 605763030706 711927685572 742548231188 802988203494 842158359762 908644546059 1070650937992 1113822346782 1122877813016 1211526061412 1423855371144 1485096462376 1605976406988 1684316719524 1817289092118 2227644693564 2423052122824 3211952813976 3368633439048 3634578184236 4455289387128 5754748791707 7269156368472 11509497583414 17264246375121 23018995166828 34528492750242 46037990333656 69056985500484 138113971000968
- Sum of all divisors σ(n): 398814495821280
- Sum of proper divisors (its aliquot sum) s(n): 260700524820312
- 138113971000968 is an abundant number, because the sum of its proper divisors (260700524820312) is greater than itself. Its abundance is 122586553819344
Bases of 138113971000968
- Binary: 111110110011101001010100010111000010110100010002
- Hexadecimal: 0x7D9D2A2E1688
- Base-36: 1CYGOKC4NC
Squares and roots of 138113971000968
- 138113971000968 squared (1381139710009682) is 19075468985656229647856937024
- 138113971000968 cubed (1381139710009683) is 2634588770314788971531568442580687819039232
-
The
square root of 138113971000968 is 11752190.0512614243 -
The
cube root of 138113971000968 is 51690.7147481667
Scales and comparisons
How big is 138113971000968?- 138,113,971,000,968 seconds is equal to 4,391,597 years, 3 weeks, 2 days, 42 minutes, 48 seconds.
-
To count from 1 to 138,113,971,000,968 would take you about ten million, nine hundred seventy-eight thousand, nine hundred ninety-two 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 138113971000968 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138113971000968
- 138113971000968 backwards is 869000179311831
- 138113971000968 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138113971000968's digits is 57
- More coming soon!
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The information we have on file for 138113971000968 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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