138274571354920
138,274,571,354,920 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138274571354920 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
138274571354920 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138274571354920:
23 × 5 × 7 × 112 × 13 × 19 × 37 × 61 × 7321
(2 × 2 × 2 × 5 × 7 × 11 × 11 × 13 × 19 × 37 × 61 × 7321)See below for interesting mathematical facts about the number 138274571354920 from the Numbermatics database.
Names of 138274571354920
- Cardinal: 138274571354920 can be written as One hundred thirty-eight trillion, two hundred seventy-four billion, five hundred seventy-one million, three hundred fifty-four thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3827457135492 × 1014
Factors of 138274571354920
Divisors of 138274571354920
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 19 20 22 26 28 35 37 38 40 44 52 55 56 61 65 70 74 76 77 88 91 95 104 110 121 122 130 133 140 143 148 152 154 182 185 190 209 220 242 244 247 259 260 266 280 286 296 305 308 364 370 380 385 407 418 427 440 455 481 484 488 494 518 520 532 572 605 610 616 665 671 703 715 728 740 760 770 793 814 836 847 854 910 962 968 988 1001 1036 1045 1064 1144 1159 1210 1220 1235 1295 1330 1342 1406 1430 1463 1480 1540 1573 1586 1628 1672 1694 1708 1729 1820 1924 1976 2002 2035 2072 2090 2135 2257 2299 2318 2405 2420 2440 2470 2590 2660 2684 2717 2812 2849 2860 2926 3080 3146 3172 3256 3355 3367 3388 3416 3458 3515 3640 3848 3965 4004 4070 4180 4235 4270 4477 4514 4598 4636 4697 4810 4840 4921 4940 5005 5180 5291 5320 5368 5434 5551 5624 5698 5720 5795 5852 6292 6344 6710 6734 6776 6916 7030 7315 7321 7381 7733 7865 7930 8008 8113 8140 8360 8470 8540 8645 8723 8954 9028 9139 9196 9272 9394 9620 9842 9880 10010 10360 10582 10868 11011 11102 11285 11396 11495 11590 11704 12584 12749 13420 13468 13585 13832 14060 14245 14630 14642 14762 15067 15466 15730 15799 15860 16093 16226 16280 16835 16940 17080 17290 17446 17908 18056 18278 18392 18788 19019 19240 19684 20020 21164 21736 22022 22204 22385 22570 22792 22990 23180 23485 24605 24827 25498 26455 26840 26936 27170 27755 28120 28490 29260 29284 29341 29524 29887 30134 30932 31339 31460 31598 31720 32186 32452 33670 33880 34580 34892 35816 36556 36605 36905 37037 37576 38038 38665 39368 40040 40565 42328 42883 43615 44044 44408 44770 45140 45695 45980 46360 46970 49210 49654 50996 51247 51667 52910 54131 54340 55055 55510 56980 58201 58520 58568 58682 59048 59774 60268 61061 61864 62678 62920 63196 63745 63973 64372 64904 67340 69160 69784 73112 73210 73810 74074 75335 76076 77330 78995 80465 80531 81130 85063 85766 87230 88088 89243 89540 90280 91390 91960 93940 95095 95173 95953 98420 99308 100529 101992 102494 103334 105469 105820 108262 108680 110110 111020 113960 116402 117364 119548 120536 122122 124135 125356 126392 127490 127946 128744 134680 139099 140239 146420 146705 147620 148148 149435 150670 152152 154660 156695 157990 160930 161062 162260 165737 170126 171532 173789 174460 178486 179080 182780 185185 187880 190190 190346 191906 196840 198616 201058 204988 205387 206668 209209 210938 211640 214415 216524 220220 222040 232804 234728 239096 244244 248270 250712 254980 255892 256235 258335 270655 270877 273097 278198 280478 291005 292840 293410 295240 296296 298870 300181 301340 305305 309320 313390 315980 319865 321860 322124 322751 324520 331474 340252 343064 347578 348920 356972 365560 370370 380380 380692 383812 402116 402655 407407 409976 410774 413336 418418 421876 425315 428830 433048 440440 446215 446581 465608 471713 475865 479765 488488 496540 502645 509960 511784 512470 516670 527345 541310 541754 546194 556396 557479 560956 563717 582010 586820 595441 597740 600362 602680 610610 626780 631960 639730 643720 644248 645502 662948 666211 671671 680504 695156 695495 701195 703703 713944 740740 760760 761384 767624 804232 805310 814814 821548 828685 836836 843752 850630 857660 868945 885841 892430 893162 943426 951730 959530 973693 981673 993080 1005290 1024940 1026935 1033340 1046045 1046903 1054690 1082620 1083508 1092388 1105819 1112792 1114958 1121912 1127434 1160159 1164020 1173640 1190882 1195480 1200724 1221220 1253560 1279460 1291004 1325896 1332422 1343342 1354385 1365485 1390312 1390990 1402390 1407406 1481480 1500905 1530089 1610620 1613755 1629628 1643096 1657370 1673672 1701260 1715320 1737890 1771682 1784860 1786324 1808287 1823107 1886852 1896139 1903460 1911679 1919060 1947386 1963346 2010580 2037035 2049880 2053870 2066680 2092090 2093806 2109380 2165240 2167016 2184776 2211638 2229916 2232905 2254868 2259257 2320318 2328040 2358565 2381764 2401448 2442440 2558920 2582008 2664844 2686684 2708770 2730970 2781980 2787395 2804780 2814812 2818585 2977205 2979647 3001810 3060178 3126067 3221240 3227510 3259256 3301991 3314740 3331055 3358355 3402520 3475780 3518515 3521401 3543364 3550261 3569720 3572648 3616574 3646214 3773704 3792278 3806920 3823358 3838120 3894772 3902353 3926692 4021160 4074070 4107740 4184180 4187612 4218760 4423276 4429205 4459832 4465810 4509736 4518514 4640636 4717130 4763528 4868465 4908365 4912391 5146663 5188843 5234515 5329688 5373368 5417540 5461940 5529095 5563960 5574790 5609560 5629624 5637170 5800795 5805553 5954410 5959294 6003620 6120356 6132269 6200887 6252134 6455020 6603982 6629480 6662110 6716710 6951560 7037030 7042802 7086728 7100522 7233148 7292428 7328321 7584556 7646716 7650445 7740733 7789544 7804706 7853384 8148140 8215480 8368360 8375224 8485039 8846552 8858410 8931620 9037028 9041435 9115535 9281272 9434260 9480695 9558395 9736930 9816730 9824782 10293326 10377686 10469030 10710623 10835080 10923880 11058190 11149580 11274340 11296285 11515933 11601590 11611106 11908820 11918588 12007240 12240712 12264538 12401774 12504268 12658009 12761749 12910040 13207964 13324220 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28569126313 28747312132 29438912360 29826266470 30072764540 30632381780 30885541960 32382803596 32650430072 33080040994 33974096156 34534108730 34873788488 35934140165 37987519603 39338427128 39986862740 40478504495 40813037590 41067588760 41214477304 42467620195 43592235610 43952502020 44894341349 47257201420 48347752222 48534423080 49173033910 50892370760 51518096630 51982921562 53387865388 55981607836 56669906293 57138252626 57494624264 59652532940 60145529080 61264763560 64765607192 66160081988 66734831735 67948192312 69068217460 69977009795 71868280330 75975039206 79973725480 80957008990 81626075180 82700102485 84935240390 87184471220 87905004040 89788682698 93428764429 94514402840 96695504444 98346067820 103036193260 103965843124 106775730776 111963215672 113339812586 114276505252 119305065880 120869380555 129957303905 132320163976 133469663470 138136434920 139954019590 142845631565 143736560660 151950078412 161914017980 163252150360 165400204970 169870480780 174368942440 179577365396 181940225467 186857528858 189937598015 193391008888 196692135640 206072386520 207931686248 224471706745 226679625172 228553010504 241738761110 259914607810 265912637221 266939326940 279908039180 283349531465 285691263130 287473121320 303900156824 314260389443 323828035960 330800409940 339740961560 359154730792 363880450934 373715057716 379875196030 448943413490 453359250344 467143822145 483477522220 493837754839 519829215620 531825274442 533878653880 559816078360 566699062930 571382526260 628520778886 661600819880 727760901868 747430115432 759750392060 897886826980 909701127335 934287644290 966955044440 987675509678 1039658431240 1063650548884 1133398125860 1142765052520 1257041557772 1329563186105 1455521803736 1519500784120 1571301947215 1795773653960 1819402254670 1868575288580 1975351019356 2127301097768 2266796251720 2469188774195 2514083115544 2659126372210 3142603894430 3456864283873 3638804509340 3737150577160 3950702038712 4938377548390 5318252744420 6285207788860 6913728567746 7277609018680 9876755096780 10636505488840 12570415577720 13827457135492 17284321419365 19753510193560 27654914270984 34568642838730 69137285677460 138274571354920
- Sum of all divisors σ(n): 462537745689600
- Sum of proper divisors (its aliquot sum) s(n): 324263174334680
- 138274571354920 is an abundant number, because the sum of its proper divisors (324263174334680) is greater than itself. Its abundance is 185988602979760
Bases of 138274571354920
- Binary: 111110111000010100011101011010100000011001010002
- Hexadecimal: 0x7DC28EB50328
- Base-36: 1D0IGLN2UG
Squares and roots of 138274571354920
- 138274571354920 squared (1382745713549202) is 19119857083386862604608206400
- 138274571354920 cubed (1382745713549203) is 2643790042572649329723807638666999015488000
-
The
square root of 138274571354920 is 11759020.8501779603 -
The
cube root of 138274571354920 is 51710.7424865947
Scales and comparisons
How big is 138274571354920?- 138,274,571,354,920 seconds is equal to 4,396,703 years, 34 weeks, 1 day, 10 hours, 8 minutes, 40 seconds.
-
To count from 1 to 138,274,571,354,920 would take you about ten million, nine hundred ninety-one thousand, seven hundred fifty-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 138274571354920 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138274571354920
- 138274571354920 backwards is 029453175472831
- 138274571354920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138274571354920's digits is 61
- More coming soon!
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MLA style:
"Number 138274571354920 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138274571354920 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138274571354920/
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Numbermatics. 2024. "Number 138274571354920 - Facts about the integer". https://numbermatics.com/n/138274571354920/
The information we have on file for 138274571354920 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!
Keywords: Divisors of 138274571354920, math, Factors of 138274571354920, curriculum, school, college, exams, university, Prime factorization of 138274571354920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred seventy-four billion, five hundred seventy-one million, three hundred fifty-four thousand, nine hundred twenty.