138434407435584
138,434,407,435,584 is an even composite number composed of five prime numbers multiplied together.
138434407435584 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138434407435584:
26 × 37 × 133 × 233 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 23 × 23 × 23 × 37)See below for interesting mathematical facts about the number 138434407435584 from the Numbermatics database.
Names of 138434407435584
- Cardinal: 138434407435584 can be written as One hundred thirty-eight trillion, four hundred thirty-four billion, four hundred seven million, four hundred thirty-five thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.38434407435584 × 1014
Factors of 138434407435584
Divisors of 138434407435584
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 37 39 46 48 52 54 64 69 72 74 78 81 92 96 104 108 111 117 138 144 148 156 162 169 184 192 207 208 216 222 234 243 276 288 296 299 312 324 333 338 351 368 414 416 432 444 468 481 486 507 529 552 576 592 598 621 624 648 666 676 702 729 736 828 832 851 864 888 897 936 962 972 999 1014 1053 1058 1104 1184 1196 1242 1248 1296 1332 1352 1404 1443 1458 1472 1521 1587 1656 1702 1728 1776 1794 1863 1872 1924 1944 1998 2028 2106 2116 2187 2197 2208 2368 2392 2484 2496 2553 2592 2664 2691 2704 2808 2886 2916 2997 3042 3159 3174 3312 3404 3552 3588 3726 3744 3848 3887 3888 3996 4056 4212 4232 4329 4374 4394 4416 4563 4761 4784 4968 5106 5184 5328 5382 5408 5589 5616 5772 5832 5994 6084 6253 6318 6348 6591 6624 6808 6877 7104 7176 7452 7488 7659 7696 7774 7776 7992 8073 8112 8424 8464 8658 8748 8788 8991 9126 9477 9522 9568 9936 10212 10656 10764 10816 11063 11178 11232 11544 11661 11664 11988 12167 12168 12506 12636 12696 12987 13182 13248 13616 13689 13754 14283 14352 14904 15318 15392 15548 15552 15984 16146 16224 16767 16848 16928 17316 17496 17576 17982 18252 18759 18954 19044 19136 19573 19773 19872 20424 20631 21312 21528 22126 22356 22464 22977 23088 23322 23328 23976 24219 24334 24336 25012 25272 25392 25974 26364 26973 27232 27378 27508 28431 28566 28704 29808 30636 30784 31096 31968 32292 32448 33189 33534 33696 33856 34632 34983 34992 35152 35964 36501 36504 37518 37908 38088 38961 39146 39546 39744 40848 41067 41262 42849 43056 44252 44712 45954 46176 46644 46656 47952 48438 48668 48672 50024 50301 50531 50544 50784 51948 52728 53946 54464 54756 55016 56277 56862 57132 57408 58719 59319 59616 61272 61893 62192 63936 64584 66378 67068 67392 68931 69264 69966 69984 70304 71928 72657 73002 73008 75036 75816 76176 77922 78292 79092 80919 81289 81696 82134 82524 85698 86112 88504 89401 89424 91908 92352 93288 95904 96876 97336 97344 99567 100048 100602 101062 101088 101568 103896 104949 105456 107892 109503 109512 110032 112554 113724 114264 116883 117438 118638 119232 122544 123201 123786 124384 128547 129168 132756 134136 137862 138528 139932 139968 140608 143819 143856 145314 146004 146016 150072 151593 151632 152352 155844 156584 158171 158184 161838 162578 163392 164268 165048 168831 171396 172224 176157 177008 177957 178802 178848 183816 185679 186576 191808 193752 194672 199134 200096 201204 202124 202176 206793 207792 209898 210912 215784 217971 219006 219024 220064 225108 227448 228528 233766 234876 237276 243867 245088 246402 247572 248768 254449 257094 258336 265512 268203 268272 275724 277056 279864 287638 287712 290628 292008 292032 298701 300144 303186 303264 304704 311688 313168 314847 316342 316368 323676 325156 328509 328536 330096 337662 342792 350649 352314 354016 355914 357604 357696 367632 369603 371358 373152 385641 387504 389344 398268 400192 402408 404248 413586 415584 419796 421824 431457 431568 435942 438012 438048 440128 450179 450216 454779 454896 457056 467532 469752 474513 474552 487734 490176 492804 495144 506493 508898 514188 516672 528471 531024 533871 536406 536544 551448 557037 559728 575276 575424 581256 584016 597402 600288 606372 606528 620379 623376 626336 629694 632684 632736 647352 650312 653913 657018 657072 660192 675324 685584 701298 704628 708032 711828 715208 731601 735264 739206 742716 746304 763347 771282 775008 778688 796536 804609 804816 808496 827172 831168 839592 862914 863136 871884 876024 876096 896103 900358 900432 909558 909792 914112 935064 939504 944541 949026 949104 975468 985527 985608 990288 1012986 1017796 1028376 1051947 1056942 1062048 1067742 1072812 1073088 1102896 1114074 1119456 1150552 1156923 1162213 1162512 1168032 1194804 1200576 1212744 1240758 1246752 1252672 1259388 1265368 1265472 1294371 1294704 1300624 1307826 1314036 1314144 1320384 1350537 1350648 1364337 1371168 1402596 1409256 1423539 1423656 1430416 1463202 1470528 1478412 1485432 1519479 1526694 1542564 1550016 1585413 1593072 1601613 1609218 1609632 1616992 1654344 1671111 1679184 1725828 1726272 1743768 1752048 1792206 1800716 1800864 1819116 1819584 1861137 1869647 1870128 1879008 1889082 1898052 1898208 1950936 1971054 1971216 1980576 2025972 2035592 2056223 2056752 2103894 2113884 2124096 2135484 2145624 2194803 2205792 2228148 2238912 2290041 2301104 2313846 2324426 2325024 2336064 2389608 2413827 2425488 2481516 2493504 2518776 2530736 2588742 2589408 2601248 2615652 2628072 2628288 2688309 2701074 2701296 2728674 2742336 2805192 2818512 2833623 2847078 2847312 2860832 2926404 2956581 2956824 2970864 3038958 3053388 3085128 3170826 3186144 3203226 3218436 3219264 3233984 3307837 3308688 3342222 3358368 3451656 3486639 3487536 3504096 3584412 3601432 3601728 3638232 3722274 3739294 3740256 3758016 3778164 3796104 3796416 3883113 3901872 3942108 3942432 3961152 4051611 4051944 4071184 4093011 4112446 4113504 4207788 4227768 4270617 4270968 4291248 4389606 4411584 4456296 4558437 4580082 4602208 4627692 4648852 4650048 4756239 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86434368 86897772 87317568 89311599 89743056 90675936 91106496 93194712 93637232 94139253 94610592 96779124 97238664 97246656 98232264 98698704 100960938 101466432 102494808 102503232 104844051 105341886 105350544 105850784 106436916 106923596 106951104 109393497 109402488 109921968 110511297 111036042 111572448 114149736 115306659 115863696 118519362 119082132 119112768 119657408 120319992 123662214 124259616 125519004 129005643 129038832 129651552 130346658 130976352 131598272 134614584 136013904 136659744 139792068 140455848 140467392 141915888 145857996 145869984 146562624 147348396 148048056 151441407 152160502 152199648 153742212 153754848 154484928 158012829 158025816 158776176 160385394 160426656 164882952 166554063 167358672 171224604 172007524 172051776 173795544 177779043 178623198 179486112 181351872 185493321 186389424 187274464 188278506 189221184 193558248 194477328 195519987 196464528 197397408 201921876 204989616 209688102 210683772 210701088 211701568 212873832 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561823392 564835518 567663552 583431984 589393584 592192224 605765628 608642008 614968848 629064306 632051316 632103264 635104704 641541576 656360982 659531808 666216252 669434688 684722259 684898416 688030096 691839954 695182176 711116172 714492792 721734273 741973284 745557696 753114024 774033858 774232992 777909312 782079948 785858112 803804391 807687504 819958464 838752408 842735088 847253277 851495328 855388768 875147976 875219904 884090376 888288336 908648442 912963012 913197888 922453272 948076974 948154896 952657056 962312364 962559936 984541473 989043263 989297712 999324378 1004152032 1032045144 1042773264 1071739188 1076916672 1112959926 1118336544 1123646784 1129671036 1161050787 1166863968 1178787168 1184384448 1211531256 1217284016 1229937696 1258128612 1264102632 1264206528 1283083152 1312721964 1319063616 1332432504 1362972663 1369444518 1369796832 1376060192 1383679908 1390364352 1422115461 1422232344 1428985584 1443468546 1483946568 1498986567 1506228048 1548067716 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17802778734 17807358816 17987838804 18074736576 18487500993 18576812592 19291305384 19486825371 20130057792 20334078648 20898914166 21003551424 21807562608 21911112288 22138878528 22753847376 23095496736 23737038312 23983785072 24650001324 24769083456 25598078298 25721740512 25982433828 26704168101 27112104864 27865218888 28936958076 29076750144 30338463168 31348371249 31505327136 31649384416 31978380096 32711343912 32866668432 34130771064 34643245104 35605557468 35614717632 35975677608 36975001986 37153625184 38582610768 38973650742 40668157296 41797828332 43615125216 43822224576 45507694752 46190993472 47474076624 47967570144 49300002648 51196156596 51443481024 51964867656 53408336202 54224209728 55462502979 55730437776 57873916152 58460476113 62696742498 63010654272 63298768832 65422687824 65733336864 68261542128 69286490208 71211114936 71951355216 73950003972 74307250368 77165221536 77947301484 80112504303 81336314592 83595656664 87230250432 91015389504 94045113747 94948153248 95935140288 98600005296 102392313192 103929735312 106816672404 110925005958 111460875552 115747832304 116920952226 125393484996 130845375648 131466673728 136523084256 138572980416 142422229872 143902710432 147900007944 154330443072 155894602968 160225008606 162672629184 166387508937 167191313328 188090227494 189896306496 197200010592 204784626384 207859470624 213633344808 221850011916 222921751104 231495664608 233841904452 240337512909 250786969992 261690751296 273046168512 284844459744 287805420864 295800015888 311789205936 320450017212 332775017874 334382626656 376180454988 394400021184 409569252768 415718941248 427266689616 443700023832 462991329216 467683808904 480675025818 501573939984 569688919488 591600031776 623578411872 640900034424 665550035748 668765253312 721012538727 752360909976 819138505536 854533379232 887400047664 935367617808 961350051636 1003147879968 1183200063552 1247156823744 1281800068848 1331100071496 1442025077454 1504721819952 1709066758464 1774800095328 1870735235616 1922700103272 2006295759936 2163037616181 2563600137696 2662200142992 2884050154908 3009443639904 3549600190656 3741470471232 3845400206544 4326075232362 5127200275392 5324400285984 5768100309816 6018887279808 7690800413088 8652150464724 10648800571968 11536200619632 15381600826176 17304300929448 23072401239264 34608601858896 46144802478528 69217203717792 138434407435584
- Sum of all divisors σ(n): 479209291008000
- Sum of proper divisors (its aliquot sum) s(n): 340774883572416
- 138434407435584 is an abundant number, because the sum of its proper divisors (340774883572416) is greater than itself. Its abundance is 202340476136832
Bases of 138434407435584
- Binary: 111110111100111110001011010111000001101010000002
- Hexadecimal: 0x7DE7C5AE0D40
- Base-36: 1D2JVZX000
Squares and roots of 138434407435584
- 138434407435584 squared (1384344074355842) is 19164085162041274667109421056
- 138434407435584 cubed (1384344074355843) is 2652968773452251639288001692598863853256704
-
The
square root of 138434407435584 is 11765815.2048884399 -
The
cube root of 138434407435584 is 51730.6595248043
Scales and comparisons
How big is 138434407435584?- 138,434,407,435,584 seconds is equal to 4,401,785 years, 49 weeks, 3 days, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 138,434,407,435,584 would take you about eleven million, four thousand, four hundred sixty-four 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 138434407435584 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138434407435584
- 138434407435584 backwards is 485534704434831
- The number of decimal digits it has is: 15
- The sum of 138434407435584's digits is 63
- More coming soon!
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"Number 138434407435584 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138434407435584 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138434407435584/
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The information we have on file for 138434407435584 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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