138884068760166400
138,884,068,760,166,400 is an even composite number composed of six prime numbers multiplied together.
138884068760166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138884068760166400:
213 × 52 × 112 × 17 × 672 × 2712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 17 × 67 × 67 × 271 × 271)See below for interesting mathematical facts about the number 138884068760166400 from the Numbermatics database.
Names of 138884068760166400
- Cardinal: 138884068760166400 can be written as One hundred thirty-eight quadrillion, eight hundred eighty-four trillion, sixty-eight billion, seven hundred sixty million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.388840687601664 × 1017
Factors of 138884068760166400
Divisors of 138884068760166400
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 67 68 80 85 88 100 110 121 128 134 136 160 170 176 187 200 220 242 256 268 271 272 275 320 335 340 352 374 400 425 440 484 512 536 542 544 550 605 640 670 680 704 737 748 800 850 880 935 968 1024 1072 1084 1088 1100 1139 1210 1280 1340 1355 1360 1408 1474 1496 1600 1675 1700 1760 1870 1936 2048 2057 2144 2168 2176 2200 2278 2420 2560 2680 2710 2720 2816 2948 2981 2992 3025 3200 3350 3400 3520 3685 3740 3872 4096 4114 4288 4336 4352 4400 4489 4556 4607 4675 4840 5120 5360 5420 5440 5632 5695 5896 5962 5984 6050 6400 6700 6775 6800 7040 7370 7480 7744 8107 8192 8228 8576 8672 8704 8800 8978 9112 9214 9350 9680 10240 10285 10720 10840 10880 11264 11390 11792 11924 11968 12100 12529 12800 13400 13550 13600 14080 14740 14905 14960 15488 16214 16456 17152 17344 17408 17600 17956 18157 18224 18425 18428 18700 19360 20480 20570 21440 21680 21760 22445 22528 22780 23035 23584 23848 23936 24200 25058 25600 26800 27100 27200 28160 28475 29480 29810 29920 30976 32428 32791 32912 34304 34688 34816 35200 35912 36314 36448 36850 36856 37400 38720 40535 40960 41140 42880 43360 43520 44890 45056 45560 46070 47168 47696 47872 48400 49379 50116 50677 51200 51425 53600 54200 54400 56320 56950 58960 59620 59840 61952 62645 64856 65582 65824 68608 69376 69632 70400 71824 72628 72896 73441 73700 73712 74525 74800 76313 77440 81070 82280 85760 86720 87040 89780 90112 90785 91120 92140 94336 95392 95744 96800 98758 100232 101354 102400 102850 107200 108400 108800 112225 112640 113900 115175 117920 119240 119680 123904 125290 129712 131164 131648 137216 137819 138752 139264 140800 143648 145256 145792 146882 147400 147424 149050 149600 152626 154880 162140 163955 164560 171520 173440 174080 179560 181570 182240 184280 188672 190784 191488 193600 197516 199727 200464 202675 202708 204800 205700 214400 216800 217600 224450 225280 227800 230350 235840 238480 239360 246895 247808 250580 253385 259424 262328 263296 274432 275638 277504 281600 287296 290512 291584 293764 294800 294848 298100 299200 305252 308669 309760 313225 324280 327910 329120 343040 346880 348160 359120 363140 364480 367205 368560 377344 381565 381568 382976 387200 395032 399454 400928 405350 405416 411400 428800 433600 435200 448900 450560 453925 455600 460700 471680 476960 478720 493790 495616 501160 506770 518848 524656 526592 543169 548864 551276 555008 557447 563200 574592 581024 583168 587528 589600 589696 596200 598400 610504 617338 619520 626450 648560 655820 658240 686080 689095 693760 696320 718240 726280 728960 734410 737120 754688 763130 763136 765952 774400 790064 798908 801856 807851 810700 810832 819775 822800 839443 857600 867200 870400 897800 907850 911200 921400 943360 953920 957440 987580 991232 998635 1002320 1013540 1037696 1049312 1053184 1086338 1102552 1110016 1114894 1126400 1149184 1162048 1166336 1175056 1179200 1179392 1192400 1196800 1216519 1221008 1234475 1234676 1239040 1248497 1252900 1266925 1297120 1311640 1316480 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7426955548672 7536578508800 7537805631488 7620943193600 7649064755200 7734688614400 7891140270464 7978174905800 8007614665600 8097252143200 8439722214400 8565688217600 8967204852800 9283694435840 9317951610880 9422257039360 9863925338080 10212063879424 10249746771968 10364482743296 10850317871888 11085008281600 11478022211584 11604618044800 11647439513600 11777821299200 12193509109760 12329906672600 12765079849280 12812183464960 12955603429120 13503555543040 13562897339860 14347527764480 14853911097344 15073157017600 15241886387200 15469377228800 15782280540928 15956349811600 16015229331200 16194504286400 16879444428800 16953621674825 17131376435200 17934409705600 18567388871680 18844514078720 19727850676160 20424127758848 20499493543936 20728965486592 21700635743776 22956044423168 23209236089600 23294879027200 23555642598400 24387018219520 24659813345200 25530159698560 25624366929920 25911206858240 27125794679720 28695055528960 29707822194688 30146314035200 30483772774400 30938754457600 31564561081856 31912699623200 32030458662400 32389008572800 33758888857600 33907243349650 35868819411200 37134777743360 37689028157440 39455701352320 40848255517696 41457930973184 43401271487552 45912088846336 46418472179200 46589758054400 47111285196800 49319626690400 51060319397120 51248733859840 51822413716480 54251589359440 57390111057920 60967545548800 63129122163712 63825399246400 64060917324800 64778017145600 67517777715200 67814486699300 71737638822400 74269555486720 78911402704640 81696511035392 82915861946368 86802542975104 92836944358400 94222570393600 98639253380800 102120638794240 102497467719680 103644827432960 108503178718880 114780222115840 121935091097600 126258244327424 127650798492800 128121834649600 129556034291200 135628973398600 143475277644800 148539110973440 157822805409280 163393022070784 173605085950208 185673888716800 188445140787200 197278506761600 204241277588480 207289654865920 217006357437760 229560444231680 252516488654848 255301596985600 256243669299200 259112068582400 271257946797200 286950555289600 315645610818560 326786044141568 347210171900416 371347777433600 394557013523200 408482555176960 414579309731840 434012714875520 505032977309696 510603193971200 512487338598400 518224137164800 542515893594400 573901110579200 631291221637120 694420343800832 742695554867200 789114027046400 816965110353920 868025429751040 1021206387942400 1036448274329600 1085031787188800 1147802221158400 1262582443274240 1388840687601664 1578228054092800 1633930220707840 1736050859502080 2042412775884800 2072896548659200 2170063574377600 2525164886548480 2777681375203328 3156456108185600 3472101719004160 4084825551769600 4340127148755200 5555362750406656 6312912216371200 6944203438008320 8169651103539200 8680254297510400 12625824432742400 13888406876016640 17360508595020800 27776813752033280 34721017190041600 69442034380083200 138884068760166400
- Sum of all divisors σ(n): 408415660349982642
- Sum of proper divisors (its aliquot sum) s(n): 269531591589816242
- 138884068760166400 is an abundant number, because the sum of its proper divisors (269531591589816242) is greater than itself. Its abundance is 130647522829649842
Bases of 138884068760166400
- Binary: 1111011010110101001010011000111110110100100100000000000002
- Hexadecimal: 0x1ED6A531F692000
- Base-36: 11ZIAKDVETJ4
Squares and roots of 138884068760166400
- 138884068760166400 squared (1388840687601664002) is 19288784555378628555683355688960000
- 138884068760166400 cubed (1388840687601664003) is 2678904880489241129912041664084723523276242944000000
-
The
square root of 138884068760166400 is 372671529.3125655447 -
The
cube root of 138884068760166400 is 517866.0933520775
Scales and comparisons
How big is 138884068760166400?- 138,884,068,760,166,400 seconds is equal to 4,416,083,789 years, 48 weeks, 6 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,884,068,760,166,400 would take you about thirteen billion, two hundred forty-eight million, two hundred fifty-one thousand, three hundred sixty-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 138884068760166400 cubic inches would be around 43155.5 feet tall.
Recreational maths with 138884068760166400
- 138884068760166400 backwards is 004661067860488831
- The number of decimal digits it has is: 18
- The sum of 138884068760166400's digits is 76
- More coming soon!
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"Number 138884068760166400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138884068760166400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138884068760166400/
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The information we have on file for 138884068760166400 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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