138106428227040
138,106,428,227,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138106428227040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138106428227040 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 138106428227040:
25 × 3 × 5 × 7 × 132 × 31 × 28012
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 31 × 2801 × 2801)See below for interesting mathematical facts about the number 138106428227040 from the Numbermatics database.
Names of 138106428227040
- Cardinal: 138106428227040 can be written as One hundred thirty-eight trillion, one hundred six billion, four hundred twenty-eight million, two hundred twenty-seven thousand and forty.
Scientific notation
- Scientific notation: 1.3810642822704 × 1014
Factors of 138106428227040
Divisors of 138106428227040
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 32 35 39 40 42 48 52 56 60 62 65 70 78 80 84 91 93 96 104 105 112 120 124 130 140 155 156 160 168 169 182 186 195 208 210 217 224 240 248 260 273 280 310 312 336 338 364 372 390 403 416 420 434 455 465 480 496 507 520 546 560 620 624 651 672 676 728 744 780 806 840 845 868 910 930 992 1014 1040 1085 1092 1120 1183 1209 1240 1248 1302 1352 1365 1456 1488 1560 1612 1680 1690 1736 1820 1860 2015 2028 2080 2170 2184 2366 2418 2480 2535 2604 2704 2730 2801 2821 2912 2976 3120 3224 3255 3360 3380 3472 3549 3640 3720 4030 4056 4340 4368 4732 4836 4960 5070 5208 5239 5408 5460 5602 5642 5915 6045 6240 6448 6510 6760 6944 7098 7280 7440 8060 8112 8403 8463 8680 8736 9464 9672 10140 10416 10478 10920 11204 11284 11830 12090 12896 13020 13520 14005 14105 14196 14560 14880 15717 16120 16224 16806 16926 17360 17745 18928 19344 19607 20280 20832 20956 21840 22408 22568 23660 24180 26040 26195 27040 28010 28210 28392 31434 32240 33612 33852 34720 35490 36413 36673 37856 38688 39214 40560 41912 42015 42315 43680 44816 45136 47320 48360 52080 52390 56020 56420 56784 58821 62868 64480 67224 67704 70980 72826 73346 78428 78585 81120 83824 84030 84630 86831 89632 90272 94640 96720 98035 104160 104780 109239 110019 112040 112840 113568 117642 125736 134448 135408 141960 145652 146692 156856 157170 167648 168060 169260 173662 182065 183365 189280 193440 196070 209560 218478 220038 224080 225680 235284 251472 254891 260493 268896 270816 283920 291304 293384 294105 313712 314340 336120 338520 347324 364130 366730 392140 419120 434155 436956 440076 448160 451360 470568 473369 502944 509782 520986 546195 550095 567840 582608 586768 588210 607817 627424 628680 672240 677040 694648 728260 733460 764673 784280 838240 868310 873912 880152 941136 946738 1019564 1041972 1092390 1100190 1128803 1165216 1173536 1176420 1215634 1257360 1274455 1302465 1344480 1354080 1389296 1420107 1456520 1466920 1529346 1568560 1736620 1747824 1760304 1823451 1882272 1893476 2039128 2083944 2184780 2200380 2257606 2352840 2366845 2431268 2514720 2548910 2604930 2778592 2840214 2913040 2933840 3039085 3058692 3137120 3313583 3386409 3473240 3495648 3520608 3646902 3786952 3823365 4078256 4167888 4369560 4400760 4515212 4705680 4733690 4862536 5097820 5209860 5644015 5680428 5826080 5867680 6078170 6117384 6627166 6772818 6946480 7100535 7293804 7573904 7646730 7845601 7901621 8156512 8335776 8739120 8801520 9030424 9117255 9411360 9467380 9725072 9940749 10195640 10419720 11288030 11360856 12156340 12234768 13254332 13545636 13892960 14201070 14587608 14674439 15147808 15293460 15691202 15803242 16567915 16932045 17478240 17603040 18060848 18234510 18934760 19450144 19881498 20391280 20839440 22576060 22721712 23536803 23704863 24312680 24469536 26508664 27091272 28402140 29175216 29348878 30586920 31382404 31606484 33135830 33864090 36121696 36469020 37869520 39228005 39508105 39762996 40782560 41678880 44023317 45152120 45443424 47073606 47409726 48625360 49703745 53017328 54182544 54919207 56804280 58350432 58697756 61173840 62764808 63212968 66271660 67728180 72938040 73372195 75739040 78456010 79016210 79525992 88046634 90304240 94147212 94819452 97250720 99407490 101992813 102721073 106034656 108365088 109838414 113608560 117395512 117684015 118524315 122347680 125529616 126425936 132543320 135456360 145876080 146744390 156912020 158032420 159051984 164757621 176093268 180608480 188294424 189638904 198814980 203985626 205442146 219676828 220116585 227217120 234791024 235368030 237048630 243213631 251059232 252851872 265086640 270912720 274596035 291752160 293488780 305978439 308163219 313824040 316064840 318103968 329515242 352186536 376588848 379277808 397629960 407971252 410884292 439353656 440233170 469582048 470736060 474097260 486427262 509964065 513605365 530173280 541825440 549192070 586977560 611956878 616326438 627648080 632129680 659030484 704373072 713949691 729640893 753177696 758555616 795259920 815942504 821768584 823788105 878707312 880466340 941472120 948194520 972854524 1019928130 1027210730 1098384140 1173955120 1216068155 1223913756 1232652876 1255296160 1264259360 1318060968 1325906569 1408746144 1427899382 1459281786 1529892195 1540816095 1590519840 1631885008 1643537168 1647576210 1702495417 1757414624 1760932680 1882944240 1896389040 1945709048 2039856260 2054421460 2141849073 2196768280 2347910240 2432136310 2447827512 2465305752 2636121936 2651813138 2855798764 2918563572 3059784390 3081632190 3161777203 3263770016 3287074336 3295152420 3404990834 3521865360 3569748455 3648204465 3765888480 3792778080 3891418096 3977719707 4079712520 4108842920 4283698146 4393536560 4864272620 4895655024 4930611504 5107486251 5272243872 5303626276 5711597528 5837127144 6119568780 6163264380 6323554406 6590304840 6629532845 6809981668 7043730720 7139496910 7296408930 7782836192 7955439414 8159425040 8217685840 8512477085 8567396292 8787073120 9281345983 9485331609 9728545240 9791310048 9861223008 10214972502 10607252552 10709245365 11423195056 11674254288 12239137560 12326528760 12647108812 13180609680 13259065690 13619963336 14278993820 14592817860 15808886015 15910878828 16318850080 16435371680 17024954170 17134792584 18562691966 18970663218 19457090480 19888598535 20429945004 21214505104 21418490730 22132440421 22846390112 23348508576 24478275120 24653057520 25294217624 25537431255 26361219360 26518131380 27239926672 27844037949 28557987640 29185635720 31617772030 31821757656 34049908340 34269585168 37125383932 37941326436 38914180960 39777197070 40859890008 41103103639 42429010208 42836981460 44264880842 46406729915 47426658045 48956550240 49306115040 50588435248 51074862510 53036262760 54479853344 55688075898 57115975280 58371271440 63235544060 63643515312 66397321263 68099816680 68539170336 74250767864 75882652872 79554394140 81719780016 82206207278 85673962920 88529761684 92813459830 94853316090 101176870496 102149725020 106072525520 110662202105 111376151796 114231950560 116742542880 123309310917 126471088120 127287030624 132794642526 136199633360 139220189745 148501535728 151765305744 159108788280 163439560032 164412414556 171347925840 177059523368 185626919660 189706632180 204299450040 205515518195 212145051040 221324404210 222752303592 246618621834 252942176240 265589285052 272399266720 278440379490 287721725473 297003071456 303530611488 318217576560 328824829112 331986606315 342695851680 354119046736 371253839320 379413264360 408598900080 411031036390 442648808420 445504607184 493237243668 505884352480 531178570104 556880758980 575443450946 616546554585 636435153120 657649658224 663973212630 708238093472 742507678640 758826528720 817197800160 822062072780 863165176419 885297616840 891009214368 986474487336 1062357140208 1113761517960 1150886901892 1233093109170 1315299316448 1327946425260 1438608627365 1485015357280 1517653057440 1644124145560 1726330352838 1770595233680 1972948974672 2124714280416 2227523035920 2301773803784 2466186218340 2655892850520 2877217254730 3288248291120 3452660705676 3541190467360 3945897949344 4315825882095 4455046071840 4603547607568 4932372436680 5311785701040 5754434509460 6576496582240 6905321411352 8631651764190 9207095215136 9864744873360 10623571402080 11508869018920 13810642822704 17263303528380 19729489746720 23017738037840 27621285645408 34526607056760 46035476075680 69053214113520 138106428227040
- Sum of all divisors σ(n): 555935159420928
- Sum of proper divisors (its aliquot sum) s(n): 417828731193888
- 138106428227040 is an abundant number, because the sum of its proper divisors (417828731193888) is greater than itself. Its abundance is 279722302966848
Bases of 138106428227040
- Binary: 111110110011011011010001001100001111101111000002
- Hexadecimal: 0x7D9B68987DE0
- Base-36: 1CYD7TKB1C
Squares and roots of 138106428227040
- 138106428227040 squared (1381064282270402) is 19073385517630550877787161600
- 138106428227040 cubed (1381064282270403) is 2634157148037307853326289704127561969664000
-
The
square root of 138106428227040 is 11751869.1375899859 -
The
cube root of 138106428227040 is 51689.7737415701
Scales and comparisons
How big is 138106428227040?- 138,106,428,227,040 seconds is equal to 4,391,357 years, 11 weeks, 5 days, 9 hours, 44 minutes.
-
To count from 1 to 138,106,428,227,040 would take you about ten million, nine hundred seventy-eight thousand, three hundred ninety-three 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 138106428227040 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138106428227040
- 138106428227040 backwards is 040722824601831
- 138106428227040 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138106428227040's digits is 48
- More coming soon!
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The information we have on file for 138106428227040 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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