138973007100928
138,973,007,100,928 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138973007100928 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
138973007100928 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138973007100928:
210 × 7 × 112 × 13 × 37 × 43 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 37 × 43 × 61 × 127)See below for interesting mathematical facts about the number 138973007100928 from the Numbermatics database.
Names of 138973007100928
- Cardinal: 138973007100928 can be written as One hundred thirty-eight trillion, nine hundred seventy-three billion, seven million, one hundred thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38973007100928 × 1014
Factors of 138973007100928
Divisors of 138973007100928
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 37 43 44 52 56 61 64 74 77 86 88 91 104 112 121 122 127 128 143 148 154 172 176 182 208 224 242 244 254 256 259 286 296 301 308 344 352 364 407 416 427 448 473 481 484 488 508 512 518 559 572 592 602 616 671 688 704 728 793 814 832 847 854 889 896 946 962 968 976 1001 1016 1024 1036 1118 1144 1184 1204 1232 1342 1376 1397 1408 1456 1573 1586 1591 1628 1651 1664 1694 1708 1778 1792 1892 1924 1936 1952 2002 2032 2072 2236 2257 2288 2368 2408 2464 2623 2684 2752 2794 2816 2849 2912 3146 3172 3182 3256 3302 3311 3328 3367 3388 3416 3556 3584 3784 3848 3872 3904 3913 4004 4064 4144 4472 4477 4514 4576 4697 4699 4736 4816 4928 5203 5246 5291 5368 5461 5504 5551 5588 5632 5698 5824 6149 6292 6344 6364 6512 6604 6622 6656 6734 6776 6832 7112 7168 7381 7568 7696 7744 7747 7808 7826 8008 8128 8288 8723 8944 8954 9028 9152 9394 9398 9472 9632 9779 9856 10406 10492 10582 10736 10922 11008 11011 11102 11137 11176 11264 11396 11557 11648 12298 12584 12688 12728 13024 13208 13244 13312 13468 13552 13664 14224 14762 15136 15367 15392 15488 15494 15616 15652 15799 16016 16256 16576 17446 17501 17888 17908 18056 18161 18304 18361 18788 18796 18944 19264 19558 19712 20683 20812 20984 21164 21472 21844 22016 22022 22204 22274 22352 22792 23114 23296 24596 24827 25168 25376 25456 26048 26416 26488 26936 27104 27328 28448 28853 29341 29524 30272 30734 30784 30976 30988 31232 31304 31339 31598 32032 32512 32893 33152 34099 34892 35002 35776 35816 36112 36322 36421 36608 36722 37037 37576 37592 37888 38227 38528 39116 39424 41366 41624 41968 42328 42944 43043 43688 44032 44044 44408 44548 44704 45584 46228 46592 49192 49654 50336 50752 50912 51667 51689 52096 52832 52976 53872 54208 54229 54656 56896 57706 58201 58682 59048 60071 60544 61061 61087 61468 61568 61952 61976 62464 62608 62678 63196 64064 65024 65786 66304 67639 68198 69784 70004 70993 71552 71632 72224 72644 72842 73216 73444 74074 75152 75184 76454 77056 78232 78848 82732 83248 83936 84656 85217 85888 86086 87376 88088 88816 89096 89408 91168 92456 93184 95953 97051 98384 99308 100672 100711 101504 101824 103334 103378 104192 105664 105952 107569 107744 108416 108458 109312 113792 115412 116402 117364 118096 120142 121088 122122 122174 122507 122936 123136 123904 123952 125216 125356 126392 127127 128128 130048 131572 132608 135278 136396 139568 140008 141986 143104 143264 144448 144781 145288 145684 146432 146888 148148 150304 150368 152908 154112 156464 165464 166496 167872 169312 170434 171776 172172 173789 174752 176176 177632 178192 178816 182336 184912 191906 192511 194102 196768 198616 199771 201344 201422 201971 202057 203008 203648 205387 206668 206756 208384 211328 211904 215138 215488 216832 216916 218624 227513 227584 230824 232804 234728 236192 238693 240284 242176 244244 244348 245014 245872 246272 247904 250432 250712 252784 254254 256256 263144 265216 270556 272792 273097 279136 280016 283972 286208 286528 286639 288896 289562 290576 291368 293776 296296 300608 300736 305816 308224 312928 317383 322751 330928 332992 333121 335744 338624 340868 343552 344344 347578 349504 352352 355264 356384 357632 361823 364672 369824 375089 383812 385022 388204 393536 397232 399542 402688 402844 403942 404114 406016 407296 407407 410774 413336 413512 416768 420497 422656 423808 427609 430276 430976 433664 433832 437248 455026 455168 461648 465608 469456 472384 473473 477386 480568 484352 488488 488696 490028 491744 492544 495808 496951 500864 501424 505568 508508 512512 526288 541112 545584 546194 558272 560032 567944 568579 572416 573056 573278 577792 579124 581152 582736 587552 592592 596519 601216 601472 611632 625856 634766 645502 660781 661856 665984 666242 671488 671671 671957 677248 679357 681736 687104 688688 695156 699008 704704 704977 710528 712768 715264 723646 729344 739648 750178 767624 770044 776408 780923 787072 794464 799084 805376 805688 807884 808228 812032 814592 814814 821548 826672 827024 840994 845312 847616 855218 860552 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7105686016 7214130352 7335990662 7393754368 7396902656 7568923648 7592493832 7652277248 7696777088 7760386816 7769063456 7940860928 7965895168 8383989328 8549028488 8677135808 8796316672 8878929664 8899398508 8969472512 8972947256 9028911584 9043600384 9181620448 9414239744 9770318272 10170741152 10254796864 10318756096 10439679019 10493280512 10521881216 10670531872 10918683776 10953105856 11043627392 11300455936 11931061736 12025007104 12194893568 12337802477 12434950528 12478495744 12517835264 12621288448 12624728116 12724135424 12944579648 13132962304 13245616384 13355084288 14100345688 14211372032 14428260704 14671981324 14787508736 14793805312 15184987664 15393554176 15520773632 15538126912 15931790336 16767978656 17098056976 17354271616 17757859328 17798797016 17938945024 17945894512 18057823168 18363240896 18828479488 19387975321 19540636544 20341482304 20509593728 20637512192 20879358038 20986561024 21043762432 21341063744 21837367552 21906211712 22087254784 22600911872 23862123472 24389787136 24675604954 24869901056 25035670528 25249456232 25448270848 25889159296 26265924608 26491232768 26710168576 28200691376 28856521408 29343962648 29575017472 29587610624 30369975328 30787108352 31041547264 31076253824 33535957312 34196113952 34708543232 35515718656 35597594032 35891789024 36115646336 36726481792 38775950642 39081273088 40682964608 41019187456 41275024384 41758716076 41973122048 42087524864 42682127488 43674735104 43812423424 44174509568 47724246944 48779574272 49351209908 49739802112 50498912464 51778318592 52982465536 56401382752 57713042816 58687925296 60739950656 61574216704 62152507648 67071914624 68392227904 69417086464 71195188064 71783578048 72231292672 73452963584 77551901284 78162546176 81365929216 82038374912 83517432152 84175049728 85364254976 87349470208 87624846848 88349019136 95448493888 98702419816 99479604224 100997824928 103556637184 112802765504 115426085632 117375850592 121479901312 124305015296 134143829248 135715827247 136784455808 138834172928 142390376128 143567156096 144462585344 146905927168 155103802568 156325092352 162731858432 164076749824 167034864304 170728509952 175249693696 190896987776 197404839632 201995649856 207113274368 225605531008 230852171264 234751701184 242959802624 248610030592 268287658496 271431654494 273568911616 284780752256 287134312192 288925170688 293811854336 310207605136 325463716864 334069728608 341457019904 381793975552 394809679264 403991299712 451211062016 461704342528 469503402368 485919605248 536575316992 542863308988 547137823232 569561504512 574268624384 620415210272 668139457216 763587951104 789619358528 807982599424 902422124032 939006804736 971839210496 1085726617976 1094275646464 1139123009024 1148537248768 1240830420544 1336278914432 1527175902208 1579238717056 1615965198848 1804844248064 1878013609472 2171453235952 2278246018048 2481660841088 2672557828864 3158477434112 3231930397696 3756027218944 4342906471904 4963321682176 5345115657728 6316954868224 8685812943808 9926643364352 10690231315456 12633909736448 17371625887616 19853286728704 34743251775232 69486503550464 138973007100928
- Sum of all divisors σ(n): 404599590191104
- Sum of proper divisors (its aliquot sum) s(n): 265626583090176
- 138973007100928 is an abundant number, because the sum of its proper divisors (265626583090176) is greater than itself. Its abundance is 126653575989248
Bases of 138973007100928
- Binary: 111111001100101001011001011100010111100000000002
- Hexadecimal: 0x7E652CB8BC00
- Base-36: 1D9FBG91J4
Squares and roots of 138973007100928
- 138973007100928 squared (1389730071009282) is 19313496702674584311178461184
- 138973007100928 cubed (1389730071009283) is 2684054714404544519407034909731880018378752
-
The
square root of 138973007100928 is 11788681.3130616097 -
The
cube root of 138973007100928 is 51797.6613162929
Scales and comparisons
How big is 138973007100928?- 138,973,007,100,928 seconds is equal to 4,418,911 years, 39 weeks, 1 day, 11 hours, 35 minutes, 28 seconds.
-
To count from 1 to 138,973,007,100,928 would take you about eleven million, forty-seven thousand, two hundred seventy-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 138973007100928 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138973007100928
- 138973007100928 backwards is 829001700379831
- The number of decimal digits it has is: 15
- The sum of 138973007100928's digits is 58
- More coming soon!
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Cite this page
MLA style:
"Number 138973007100928 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138973007100928 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138973007100928/
Chicago style:
Numbermatics. 2024. "Number 138973007100928 - Facts about the integer". https://numbermatics.com/n/138973007100928/
The information we have on file for 138973007100928 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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