38431142090640
38,431,142,090,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38431142090640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1080 divisors.
38431142090640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 38431142090640:
24 × 32 × 5 × 13 × 412 × 432 × 1321
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 41 × 41 × 43 × 43 × 1321)See below for interesting mathematical facts about the number 38431142090640 from the Numbermatics database.
Names of 38431142090640
- Cardinal: 38431142090640 can be written as Thirty-eight trillion, four hundred thirty-one billion, one hundred forty-two million, ninety thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.843114209064 × 1013
Factors of 38431142090640
Divisors of 38431142090640
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 41 43 45 48 52 60 65 72 78 80 82 86 90 104 117 120 123 129 130 144 156 164 172 180 195 205 208 215 234 240 246 258 260 312 328 344 360 369 387 390 410 430 468 492 516 520 533 559 585 615 624 645 656 688 720 738 774 780 820 860 936 984 1032 1040 1066 1118 1170 1230 1290 1321 1476 1548 1560 1599 1640 1677 1681 1720 1763 1845 1849 1872 1935 1968 2064 2132 2236 2340 2460 2580 2642 2665 2795 2952 3096 3120 3198 3280 3354 3362 3440 3526 3690 3698 3870 3963 4264 4472 4680 4797 4920 5031 5043 5160 5284 5289 5330 5547 5590 5904 6192 6396 6605 6708 6724 7052 7380 7396 7740 7926 7995 8385 8405 8528 8815 8944 9245 9360 9594 9840 10062 10086 10320 10568 10578 10660 11094 11180 11889 12792 13210 13416 13448 14104 14760 14792 15129 15480 15852 15867 15990 16641 16770 16810 17173 17630 18490 19188 19815 20124 20172 21136 21156 21320 21853 22188 22360 22919 23778 23985 24037 25155 25215 25584 26420 26445 26832 26896 27735 28208 29520 29584 30258 30960 31704 31734 31980 33282 33540 33620 34346 35260 36980 38376 39630 40248 40344 42312 42640 43706 44376 44720 45838 47556 47970 48074 50310 50430 51519 52840 52890 54161 55470 56803 59445 60516 63408 63468 63960 65559 66564 67080 67240 68692 68757 70520 72111 72283 73960 75645 75809 76752 79260 79335 80496 80688 83205 84624 85865 87412 88752 91676 95112 95940 96148 100620 100860 103038 105680 105780 108322 109265 110940 113606 114595 118890 120185 121032 126936 127920 131118 133128 134160 134480 137384 137514 141040 144222 144566 147920 151290 151618 154557 158520 158670 162483 166410 170409 171730 174824 183352 190224 191880 192296 196677 201240 201720 206076 206271 211560 216333 216644 216849 218530 221880 227212 227427 229190 237780 240370 242064 253872 257595 262236 266256 270805 274768 275028 284015 288444 289132 302580 303236 309114 317040 317340 324966 327795 332820 340818 343460 343785 349648 360555 361415 366704 379045 383760 384592 393354 402480 403440 412152 412542 423120 432666 433288 433698 437060 443760 454424 454854 458380 475560 480740 487449 511227 515190 524472 541610 550056 568030 576888 578264 605160 606472 618228 634680 649932 650547 655590 665640 681636 682281 686920 687570 704093 721110 722830 738439 758090 772785 786708 812415 824304 825084 852045 865332 866576 867396 874120 908848 909708 916760 939679 951120 961480 974898 983385 985517 1022454 1030380 1031355 1048944 1081665 1083220 1084245 1100112 1136060 1137135 1153776 1156528 1210320 1212944 1236456 1269360 1299864 1301094 1311180 1331280 1363272 1364562 1373840 1375140 1408186 1442220 1445660 1476878 1516180 1545570 1573416 1624830 1650168 1704090 1730664 1734792 1748240 1819416 1833520 1879358 1922960 1949796 1966770 1971034 2044908 2060760 2062710 2112279 2163330 2166440 2168490 2215317 2220601 2272120 2274270 2328923 2437245 2442529 2472912 2556135 2599728 2602188 2622360 2726544 2729124 2750280 2816372 2819037 2884440 2891320 2953756 2956551 3032360 3091140 3108169 3146832 3249660 3252735 3300336 3408180 3411405 3461328 3469584 3520465 3638832 3692195 3758716 3899592 3933540 3942068 4089816 4121520 4125420 4224558 4326660 4332880 4336980 4430634 4441202 4544240 4548540 4657846 4698395 4874490 4885058 4927585 5112270 5204376 5244720 5458248 5500560 5632744 5638074 5768880 5782640 5907512 5913102 6064720 6182280 6216338 6336837 6499320 6505470 6645951 6661803 6816360 6822810 6986769 7040930 7327587 7384390 7517432 7799184 7867080 7884136 8179632 8250840 8449116 8457111 8653320 8673960 8861268 8869653 8882404 9097080 9315692 9324507 9396790 9748980 9770116 9855170 10224540 10408752 10561395 10916496 11076585 11103005 11265488 11276148 11644615 11815024 11826204 12212645 12364560 12432676 12673674 12998640 13010940 13291902 13323606 13632720 13645620 13973538 14081860 14095185 14655174 14768780 14782755 15034864 15540845 15734160 15768272 16501680 16898232 16914222 17306640 17347920 17722536 17739306 17764808 18194160 18631384 18649014 18793580 19497960 19540232 19710340 19985409 20449080 20960307 21122790 21982761 22153170 22206010 22552296 23289230 23652408 24425290 24865352 25347348 26021880 26583804 26647212 27291240 27947076 27973521 28163720 28190370 28867813 29310348 29537560 29565510 30275999 31081690 31684185 31752877 33229755 33309015 33796464 33828444 34933845 35445072 35478612 35529616 36637935 37262768 37298028 37587160 38995920 39080464 39420680 39970818 40406197 40898160 41920614 42245580 42285555 43965522 44306340 44348265 44412020 45104592 46578460 46622535 47304816 48850580 49730704 50694696 52043760 53167608 53294424 54582480 55894152 55947042 56327440 56380740 57735626 58620696 59075120 59131020 60551998 62163380 63368370 63505754 66459510 66618030 67656888 69867690 70957224 73275870 74596056 75174320 78841360 79941636 80812394 83841228 84491160 84571110 86603439 87931044 88612680 88696530 88824040 90827997 93156920 93245070 95258631 95485843 97701160 99927045 100143689 101389392 104801535 106335216 106588848 109913805 111788304 111894084 112761480 115471252 117241392 118262040 121103996 121218591 124326760 126736740 127011508 132919020 133236060 135313776 139735380 139867605 141914448 144339065 146551740 149192112 151379995 158764385 159883272 161624788 167682456 168982320 169142220 173206878 175862088 177225360 177393060 177648080 181655994 186313840 186490140 190517262 190971686 195402320 199854090 200287378 202030985 209603070 219827610 223788168 225522960 230942504 236524080 242207992 242437182 248653520 253473480 254023016 259810317 265838040 266472120 272483991 279470760 279735210 285775893 286457529 288678130 293103480 300431067 302759990 317528770 319766544 323249576 335364912 338284440 346413756 351724176 354786120 363311988 363655773 372980280 381034524 381943372 399708180 400574756 404061970 419206140 433017195 439655220 447576336 454139985 461885008 476293155 477429215 484415984 484874364 500718445 506946960 508046032 519620634 531676080 532944240 544967982 558941520 559470420 571551786 572915058 577356260 586206960 600862134 605519980 606092955 635057540 646499152 676568880 692827512 709572240 726623976 727311546 745960560 762069048 763886744 799416360 801149512 808123940 838412280 859372587 866034390 879310440 901293201 908279970 952586310 954858430 969748728 1001436890 1039241268 1089935964 1118940840 1143103572 1145830116 1154712520 1201724268 1211039960 1212185910 1241315959 1270115080 1299051585 1301867957 1362419955 1385655024 1428879465 1432287645 1453247952 1454623092 1502155335 1524138096 1527773488 1598832720 1602299024 1616247880 1676824560 1718745174 1732068780 1758620880 1802586402 1816559940 1818278865 1905172620 1909716860 1939497456 2002873780 2078482536 2179871928 2237881680 2286207144 2291660232 2309425040 2403448536 2422079920 2424371820 2482631918 2540230160 2598103170 2603735914 2724839910 2857758930 2864575290 2909246184 3004310670 3232495760 3437490348 3464137560 3605172804 3633119880 3636557730 3723947877 3810345240 3819433720 3905603871 4005747560 4105891249 4156965072 4296862935 4359743856 4506466005 4572414288 4583320464 4806897072 4848743640 4965263836 5196206340 5207471828 5449679820 5715517860 5729150580 5818492368 6008621340 6206579795 6509339785 6874980696 6928275120 7210345608 7266239760 7273115460 7447895754 7620690480 7638867440 7811207742 8011495120 8211782498 8593725870 9012932010 9697487280 9930527672 10392412680 10414943656 10899359640 11171843631 11431035720 11458301160 11716811613 12017242680 12317673747 12413159590 13018679570 13749961392 14420691216 14546230920 14895791508 15622415484 16423564996 17187451740 18025864020 18619739385 19528019355 19861055344 20529456245 20784825360 20829887312 21798719280 22343687262 22862071440 22916602320 23433623226 24034485360 24635347494 24826319180 26037359140 29092461840 29791583016 31244830968 32847129992 34374903480 36051728040 36953021241 37239478770 39056038710 41058912490 44687374524 46867246452 49270694988 49652638360 52074718280 53376586237 55859218155 58584058065 59583166032 61588368735 62489661936 65694259984 68749806960 72103456080 73906042482 74478957540 78112077420 82117824980 89374749048 93734492904 98541389976 99305276720 104149436560 106753172474 111718436310 117168116130 123176737470 147812084964 148957915080 156224154840 160129758711 164235649960 178749498096 184765106205 187468985808 197082779952 213506344948 223436872620 234336232260 246353474940 266882931185 295624169928 297915830160 312448309680 320259517422 328471299920 369530212410 427012689896 446873745240 468672464520 480389276133 492706949880 533765862370 591248339856 640519034844 739060424820 800648793555 854025379792 893747490480 937344929040 960778552266 985413899760 1067531724740 1281038069688 1478120849640 1601297587110 1921557104532 2135063449480 2401946380665 2562076139376 2956241699280 3202595174220 3843114209064 4270126898960 4803892761330 6405190348440 7686228418128 9607785522660 12810380696880 19215571045320 38431142090640
- Sum of all divisors σ(n): 145965990531816
- Sum of proper divisors (its aliquot sum) s(n): 107534848441176
- 38431142090640 is an abundant number, because the sum of its proper divisors (107534848441176) is greater than itself. Its abundance is 69103706350536
Bases of 38431142090640
- Binary: 10001011110011111100101001001010010111100100002
- Hexadecimal: 0x22F3F2929790
- Base-36: DMF0TQKK0
Squares and roots of 38431142090640
- 38431142090640 squared (384311420906402) is 1476952682390961429975609600
- 38431142090640 cubed (384311420906403) is 56760978398118929363832453087152454144000
-
The
square root of 38431142090640 is 6199285.6113136133 -
The
cube root of 38431142090640 is 33746.4243756585
Scales and comparisons
How big is 38431142090640?- 38,431,142,090,640 seconds is equal to 1,221,991 years, 23 weeks, 7 hours, 24 minutes.
-
To count from 1 to 38,431,142,090,640 would take you about three million, fifty-four thousand, nine hundred seventy-eight 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 38431142090640 cubic inches would be around 2812.2 feet tall.
Recreational maths with 38431142090640
- 38431142090640 backwards is 04609024113483
- 38431142090640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38431142090640's digits is 45
- More coming soon!
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"Number 38431142090640 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 38431142090640 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/38431142090640/
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The information we have on file for 38431142090640 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 38431142090640, math, Factors of 38431142090640, curriculum, school, college, exams, university, Prime factorization of 38431142090640, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight trillion, four hundred thirty-one billion, one hundred forty-two million, ninety thousand, six hundred forty.