138405184929792
138,405,184,929,792 is an even composite number composed of five prime numbers multiplied together.
What does the number 138405184929792 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
138405184929792 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138405184929792:
217 × 32 × 112 × 312 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 31 × 31 × 1009)See below for interesting mathematical facts about the number 138405184929792 from the Numbermatics database.
Names of 138405184929792
- Cardinal: 138405184929792 can be written as One hundred thirty-eight trillion, four hundred five billion, one hundred eighty-four million, nine hundred twenty-nine thousand, seven hundred ninety-two.
Scientific notation
- Scientific notation: 1.38405184929792 × 1014
Factors of 138405184929792
Divisors of 138405184929792
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 64 66 72 88 93 96 99 121 124 128 132 144 176 186 192 198 242 248 256 264 279 288 341 352 363 372 384 396 484 496 512 528 558 576 682 704 726 744 768 792 961 968 992 1009 1023 1024 1056 1089 1116 1152 1364 1408 1452 1488 1536 1584 1922 1936 1984 2018 2046 2048 2112 2178 2232 2304 2728 2816 2883 2904 2976 3027 3069 3072 3168 3751 3844 3872 3968 4036 4092 4096 4224 4356 4464 4608 5456 5632 5766 5808 5952 6054 6138 6144 6336 7502 7688 7744 7936 8072 8184 8192 8448 8649 8712 8928 9081 9216 10571 10912 11099 11253 11264 11532 11616 11904 12108 12276 12288 12672 15004 15376 15488 15872 16144 16368 16384 16896 17298 17424 17856 18162 18432 21142 21824 22198 22506 22528 23064 23232 23808 24216 24552 24576 25344 30008 30752 30976 31279 31713 31744 32288 32736 32768 33297 33759 33792 34596 34848 35712 36324 36864 42284 43648 44396 45012 45056 46128 46464 47616 48432 49104 49152 50688 60016 61504 61952 62558 63426 63488 64576 65472 65536 66594 67518 67584 69192 69696 71424 72648 73728 84568 87296 88792 90024 90112 92256 92928 93837 95139 95232 96864 98208 98304 99891 101376 116281 120032 122089 123008 123904 125116 126852 126976 129152 130944 131072 133188 135036 135168 138384 139392 142848 145296 147456 169136 174592 177584 180048 180224 184512 185856 187674 190278 190464 193728 196416 196608 199782 202752 232562 240064 244178 246016 247808 250232 253704 253952 258304 261888 266376 270072 270336 276768 278784 281511 285696 290592 294912 338272 344069 348843 349184 355168 360096 360448 366267 369024 371712 375348 380556 380928 387456 392832 393216 399564 405504 465124 480128 488356 492032 495616 500464 507408 507904 516608 523776 532752 540144 540672 553536 557568 563022 571392 581184 589824 676544 688138 697686 698368 710336 720192 720896 732534 738048 743424 750696 761112 761856 774912 785664 799128 811008 930248 960256 969649 976712 984064 991232 1000928 1014816 1015808 1032207 1033216 1046529 1047552 1065504 1080288 1081344 1098801 1107072 1115136 1126044 1142784 1162368 1179648 1353088 1376276 1395372 1396736 1420672 1440384 1441792 1465068 1476096 1486848 1501392 1522224 1523712 1549824 1571328 1598256 1622016 1860496 1920512 1939298 1953424 1968128 1982464 2001856 2029632 2031616 2064414 2066432 2093058 2095104 2131008 2160576 2162688 2197602 2214144 2230272 2252088 2285568 2324736 2706176 2752552 2790744 2793472 2841344 2880768 2908947 2930136 2952192 2973696 3002784 3044448 3047424 3096621 3099648 3142656 3196512 3244032 3720992 3784759 3841024 3878596 3906848 3936256 3964928 4003712 4059264 4063232 4128828 4132864 4186116 4190208 4262016 4321152 4325376 4395204 4428288 4460544 4504176 4571136 4649472 5412352 5505104 5581488 5586944 5682688 5761536 5817894 5860272 5904384 5947392 6005568 6088896 6094848 6193242 6199296 6285312 6393024 6488064 7441984 7569518 7682048 7757192 7813696 7872512 7929856 8007424 8118528 8257656 8265728 8372232 8380416 8524032 8642304 8726841 8790408 8856576 8921088 9008352 9142272 9298944 10666139 10824704 11010208 11162976 11173888 11354277 11365376 11523072 11635788 11720544 11808768 11894784 12011136 12177792 12189696 12386484 12398592 12570624 12786048 12976128 14883968 15139036 15364096 15514384 15627392 15745024 15859712 16014848 16237056 16515312 16531456 16744464 16760832 17048064 17284608 17453682 17580816 17713152 17842176 18016704 18284544 18597888 21332278 21649408 22020416 22325952 22347776 22708554 22730752 23046144 23271576 23441088 23617536 23789568 24022272 24355584 24772968 24797184 25141248 25572096 29767936 30278072 30728192 31028768 31254784 31490048 31998417 32029696 32474112 33030624 33062912 33488928 33521664 34062831 34096128 34569216 34907364 35161632 35426304 35684352 36033408 36569088 37195776 42664556 43298816 44040832 44651904 44695552 45417108 45461504 46092288 46543152 46882176 47235072 47579136 48044544 48711168 49545936 49594368 50282496 51144192 59535872 60556144 61456384 62057536 62509568 62980096 63996834 64059392 64948224 66061248 66125824 66977856 67043328 68125662 68192256 69138432 69814728 70323264 70852608 71368704 72066816 74391552 85329112 86597632 88081664 89303808 90834216 90923008 92184576 93086304 93764352 94470144 95995251 96089088 97422336 99091872 99188736 100564992 102288384 117327529 119071744 121112288 122912768 124115072 125019136 125960192 127993668 128118784 129896448 132122496 132251648 133955712 134086656 136251324 136384512 138276864 139629456 140646528 141705216 142737408 144133632 148783104 170658224 173195264 176163328 178607616 181668432 181846016 184369152 186172608 187528704 188940288 191990502 192178176 194844672 198183744 198377472 201129984 204576768 234655058 238143488 242224576 245825536 248230144 250038272 255987336 256237568 259792896 264244992 267911424 272502648 272769024 276553728 279258912 281293056 283410432 288267264 297566208 341316448 346390528 351982587 352326656 357215232 363336864 363692032 368738304 372345216 375057408 377880576 383981004 384356352 389689344 396367488 396754944 402259968 409153536 469310116 476286976 484449152 491651072 496460288 500076544 511974672 512475136 519585792 528489984 535822848 545005296 545538048 553107456 558517824 562586112 566820864 576534528 595132416 682632896 692781056 703965174 704653312 714430464 726673728 727384064 737476608 744690432 750114816 767962008 768712704 779378688 792734976 818307072 938620232 952573952 968898304 992920576 1000153088 1023949344 1024950272 1039171584 1055947761 1056979968 1071645696 1090010592 1091076096 1106214912 1117035648 1125172224 1133641728 1153069056 1190264832 1365265792 1385562112 1407930348 1409306624 1428860928 1453347456 1454768128 1474953216 1489380864 1500229632 1535924016 1537425408 1558757376 1585469952 1636614144 1877240464 1905147904 1937796608 1985841152 2000306176 2047898688 2049900544 2078343168 2111895522 2113959936 2143291392 2180021184 2182152192 2212429824 2234071296 2250344448 2306138112 2730531584 2815860696 2818613248 2857721856 2906694912 2978761728 3000459264 3071848032 3074850816 3117514752 3170939904 3273228288 3754480928 3810295808 3875593216 3971682304 4000612352 4095797376 4099801088 4156686336 4223791044 4227919872 4286582784 4360042368 4364304384 4424859648 4468142592 4500688896 4612276224 5461063168 5631721392 5637226496 5715443712 5813389824 5957523456 6000918528 6143696064 6149701632 6235029504 6341879808 6546456576 7508961856 7620591616 7751186432 7943364608 8001224704 8191594752 8447582088 8455839744 8573165568 8720084736 8936285184 9001377792 9224552448 10922126336 11263442784 11274452992 11430887424 11626779648 11915046912 12001837056 12287392128 12299403264 12470059008 12683759616 13092913152 15017923712 15241183232 15502372864 15886729216 16002449408 16383189504 16895164176 16911679488 17146331136 17440169472 17872570368 18002755584 18449104896 21844252672 22526885568 22548905984 22861774848 23253559296 23830093824 24003674112 24574784256 25367519232 30035847424 31004745728 31773458432 32766379008 33790328352 33823358976 34292662272 34880338944 35745140736 36005511168 36898209792 43688505344 45053771136 45097811968 45723549696 46507118592 47660187648 48007348224 49149568512 50735038464 60071694848 62009491456 63546916864 65532758016 67580656704 67646717952 68585324544 69760677888 71490281472 72011022336 87377010688 90107542272 93014237184 95320375296 98299137024 101470076928 120143389696 124018982912 127093833728 131065516032 135161313408 135293435904 137170649088 139521355776 142980562944 144022044672 174754021376 180215084544 186028474368 190640750592 196598274048 202940153856 240286779392 248037965824 262131032064 270322626816 279042711552 285961125888 349508042752 360430169088 372056948736 381281501184 393196548096 405880307712 480573558784 496075931648 524262064128 540645253632 558085423104 571922251776 699016085504 720860338176 744113897472 786393096192 961147117568 1048524128256 1081290507264 1116170846208 1143844503552 1398032171008 1441720676352 1488227794944 1572786192384 1922294235136 2097048256512 2162581014528 2232341692416 2883441352704 3145572384768 3844588470272 4194096513024 4325162029056 4464683384832 5766882705408 6291144769536 7689176940544 8650324058112 11533765410816 12582289539072 15378353881088 17300648116224 23067530821632 34601296232448 46135061643264 69202592464896 138405184929792
- Sum of all divisors σ(n): 454573255573710
- Sum of proper divisors (its aliquot sum) s(n): 316168070643918
- 138405184929792 is an abundant number, because the sum of its proper divisors (316168070643918) is greater than itself. Its abundance is 177762885714126
Bases of 138405184929792
- Binary: 111110111100000111101111110001000000000000000002
- Hexadecimal: 0x7DE0F7E20000
- Base-36: 1D26GPLA80
Squares and roots of 138405184929792
- 138405184929792 squared (1384051849297922) is 19155995215449922547969163264
- 138405184929792 cubed (1384051849297923) is 2651289060308557276401035253601304825561088
-
The
square root of 138405184929792 is 11764573.2999455615 -
The
cube root of 138405184929792 is 51727.0192788381
Scales and comparisons
How big is 138405184929792?- 138,405,184,929,792 seconds is equal to 4,400,856 years, 39 weeks, 5 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,405,184,929,792 would take you about eleven million, two thousand, one hundred forty-one 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 138405184929792 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138405184929792
- 138405184929792 backwards is 297929481504831
- 138405184929792 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138405184929792's digits is 72
- More coming soon!
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The information we have on file for 138405184929792 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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