138090866470032
138,090,866,470,032 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138090866470032 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
138090866470032 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138090866470032:
24 × 3 × 72 × 17 × 19 × 294 × 257
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 19 × 29 × 29 × 29 × 29 × 257)See below for interesting mathematical facts about the number 138090866470032 from the Numbermatics database.
Names of 138090866470032
- Cardinal: 138090866470032 can be written as One hundred thirty-eight trillion, ninety billion, eight hundred sixty-six million, four hundred seventy thousand and thirty-two.
Scientific notation
- Scientific notation: 1.38090866470032 × 1014
Factors of 138090866470032
Divisors of 138090866470032
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 29 34 38 42 48 49 51 56 57 58 68 76 84 87 98 102 112 114 116 119 133 136 147 152 168 174 196 203 204 228 232 238 257 266 272 294 304 323 336 348 357 392 399 406 408 456 464 476 493 514 532 551 588 609 646 696 714 771 784 798 812 816 833 841 912 931 952 969 986 1028 1064 1102 1176 1218 1292 1392 1421 1428 1479 1542 1596 1624 1653 1666 1682 1799 1862 1904 1938 1972 2056 2128 2204 2261 2352 2436 2499 2523 2584 2793 2842 2856 2958 3084 3192 3248 3306 3332 3364 3451 3598 3724 3857 3876 3944 4112 4263 4369 4408 4522 4872 4883 4998 5046 5168 5397 5586 5684 5712 5887 5916 6168 6384 6612 6664 6728 6783 6902 7196 7448 7453 7714 7752 7888 8526 8738 8816 9044 9367 9744 9766 9996 10092 10353 10794 11172 11368 11571 11774 11832 12336 12593 13107 13224 13328 13456 13566 13804 14297 14392 14649 14896 14906 15428 15504 15827 15979 17052 17476 17661 18088 18734 19532 19992 20184 20706 21588 22344 22359 22736 23142 23548 23664 24157 24389 25186 26214 26448 26999 27132 27608 28101 28594 28784 29298 29812 30583 30856 31654 31958 34104 34181 34952 35322 36176 37468 37779 39064 39984 40368 41209 41412 42891 43176 44688 44718 46284 47096 47481 47937 48314 48778 50372 52171 52428 53998 54264 55216 56202 57188 58596 59624 61166 61712 63308 63916 65569 68208 68362 69904 70644 72471 73167 74936 75558 78128 80997 82418 82824 83011 85782 86352 89436 91749 92568 94192 94962 95874 96628 97556 100079 100744 102543 104342 104856 107996 108528 111853 112404 114376 117192 119248 122332 123627 126616 126701 127832 131138 136724 141288 141607 144942 146334 149872 151116 156513 161994 164836 165648 166022 170723 171564 178872 183498 185136 189924 191748 193256 195112 196707 200158 201488 205086 208684 209712 214081 215992 216137 223706 224808 228752 234384 239267 244664 247254 249033 253232 253402 255664 262276 271643 273448 282576 283214 289884 292668 300237 302232 313026 323988 329672 332044 335559 341446 343128 357744 365197 366996 379848 380103 383496 386512 390224 393414 400316 410172 414613 417368 424821 428162 431984 432274 447412 449616 458983 463391 478534 489328 494508 498066 506804 512169 524552 543286 546896 566428 579768 581077 585336 600474 604464 626052 642243 647976 648411 659344 664088 671118 682892 686256 700553 707281 717801 730394 733992 759696 760206 766992 782971 786828 800632 814929 820344 829226 834736 849642 856324 864548 886907 894824 917966 926782 957068 989016 991249 996132 1013608 1024338 1049104 1086572 1095591 1132856 1159536 1162154 1170672 1195061 1200948 1243839 1252104 1284486 1295952 1296822 1328176 1342236 1365784 1376949 1390173 1401106 1414562 1435602 1460788 1467984 1512959 1520412 1565942 1573656 1601264 1629858 1640688 1658452 1699284 1712648 1729096 1743231 1773814 1789648 1835932 1853564 1901501 1914136 1978032 1982498 1992264 2027216 2048676 2101659 2121843 2173144 2191182 2265712 2324308 2348913 2390122 2401896 2407319 2487678 2504208 2568972 2593644 2660721 2684472 2731568 2753898 2780346 2802212 2829124 2871204 2902291 2921576 2973747 3025918 3040824 3131884 3147312 3243737 3259716 3316904 3398568 3425296 3458192 3486462 3547628 3585183 3671864 3674329 3707128 3803002 3828272 3964996 3984528 4067539 4097352 4106603 4203318 4243686 4346288 4382364 4538877 4648616 4697826 4780244 4803792 4814638 4950967 4975356 5137944 5187288 5321442 5368944 5507796 5560692 5604424 5658248 5704503 5742408 5804582 5843152 5947494 6051836 6081648 6208349 6263768 6267973 6487474 6519432 6633808 6797136 6938743 6972924 7095256 7170366 7221957 7343728 7348658 7414256 7606004 7877647 7929992 8135078 8194704 8213206 8406636 8487372 8706873 8764728 9077754 9297232 9395652 9560488 9629276 9731211 9901934 9950712 10275888 10374576 10590713 10642884 11015592 11022987 11121384 11208848 11316496 11409006 11484816 11609164 11894988 12023777 12103672 12202617 12319809 12416698 12527536 12535946 12974948 13038864 13310507 13438339 13877486 13945848 14190512 14340732 14443914 14697316 14852901 15212008 15755294 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10262400897 10360959369 10442443018 10535657776 10965684624 11194136387 11670965726 11728458168 11934220592 12147331674 12360442756 12793298728 13338246544 13683201196 13814612492 14139961752 14171886953 14742272496 15268782228 15663664527 15803486664 16196442232 17506448589 17813579266 17901330888 18528225744 18540664134 19189948092 20007369816 20358376304 20524801794 20721918738 20884886036 21630774823 22388272774 23341931452 23456916336 24175571861 24294663348 24720885512 25586597456 26720368899 27366402392 27629224984 28279923504 28343773906 30537564456 31327329054 31606973328 32392884464 33582409161 35012897178 35627158532 35802661776 37081328268 38379896184 40014739632 41049603588 41443837476 41769772072 42515660859 43261549646 44776545548 46683862904 48351143722 48589326696 49441771024 53440737798 54732804784 55258449968 56687547812 58712103091 61075128912 62654658108 64892324469 67164818322 70025794356 71254317064 72526715583 74162656536 76759792368 82099207176 82887674952 83539544144 85031321718 86523099292 89553091096 93367725808 96702287444 97178653392 99203208671 106881475596 113375095624 117424206182 125309316216 129784648938 134329636644 140051588712 142508634128 145053431166 148325313072 151415423761 164198414352 165775349904 169229003027 170062643436 173046198584 176136309273 179106182192 193404574888 198406417342 213762951192 226750191248 234848412364 250618632432 259569297876 268659273288 280103177424 290106862332 297609626013 302830847522 338458006054 340125286872 346092397168 352272618546 386809149776 396812834684 410984721637 427525902384 454246271283 469696824728 507687009081 519138595752 537318546576 580213724664 595219252026 605661695044 676916012108 680250573744 704545237092 793625669368 821969443274 908492542566 939393649456 1015374018162 1038277191504 1160427449328 1190438504052 1211323390088 1232954164911 1353832024216 1409090474184 1587251338736 1643938886548 1816985085132 2030748036324 2380877008104 2422646780176 2465908329822 2707664048432 2818180948368 2876893051459 3287877773096 3633970170264 4061496072648 4761754016208 4931816659644 5753786102918 6575755546192 7267940340528 8122992145296 8630679154377 9863633319288 11507572205836 17261358308754 19727266638576 23015144411672 34522716617508 46030288823344 69045433235016 138090866470032
- Sum of all divisors σ(n): 480895468309440
- Sum of proper divisors (its aliquot sum) s(n): 342804601839408
- 138090866470032 is an abundant number, because the sum of its proper divisors (342804601839408) is greater than itself. Its abundance is 204713735369376
Bases of 138090866470032
- Binary: 111110110010111110010010000101011101100100100002
- Hexadecimal: 0x7D97C90AEC90
- Base-36: 1CY62GHUHC
Squares and roots of 138090866470032
- 138090866470032 squared (1380908664700322) is 19069087402444208076354081024
- 138090866470032 cubed (1380908664700323) is 2633266802196292499893585181783188195872768
-
The
square root of 138090866470032 is 11751207.0218353315 -
The
cube root of 138090866470032 is 51687.8322101403
Scales and comparisons
How big is 138090866470032?- 138,090,866,470,032 seconds is equal to 4,390,862 years, 21 weeks, 2 days, 11 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,090,866,470,032 would take you about ten million, nine hundred seventy-seven thousand, one hundred fifty-six 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 138090866470032 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138090866470032
- 138090866470032 backwards is 230074668090831
- 138090866470032 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138090866470032's digits is 57
- More coming soon!
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The information we have on file for 138090866470032 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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