138435618054864
138,435,618,054,864 is an even composite number composed of seven prime numbers multiplied together.
138435618054864 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138435618054864:
24 × 3 × 13 × 31 × 372 × 532 × 1861
(2 × 2 × 2 × 2 × 3 × 13 × 31 × 37 × 37 × 53 × 53 × 1861)See below for interesting mathematical facts about the number 138435618054864 from the Numbermatics database.
Names of 138435618054864
- Cardinal: 138435618054864 can be written as One hundred thirty-eight trillion, four hundred thirty-five billion, six hundred eighteen million, fifty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38435618054864 × 1014
Factors of 138435618054864
Divisors of 138435618054864
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 37 39 48 52 53 62 74 78 93 104 106 111 124 148 156 159 186 208 212 222 248 296 312 318 372 403 424 444 481 496 592 624 636 689 744 806 848 888 962 1147 1209 1272 1369 1378 1443 1488 1612 1643 1776 1861 1924 1961 2067 2294 2418 2544 2738 2756 2809 2886 3224 3286 3441 3722 3848 3922 4107 4134 4588 4836 4929 5476 5512 5583 5618 5772 5883 6448 6572 6882 7444 7696 7844 8214 8268 8427 9176 9672 9858 10952 11024 11166 11236 11544 11766 13144 13764 14888 14911 15688 16428 16536 16854 17797 18352 19344 19716 21359 21904 22332 22472 23088 23532 24193 25493 26288 27528 29776 29822 31376 32856 33072 33708 35594 36517 39432 42439 42718 44664 44733 44944 47064 48386 50986 53391 55056 57691 59644 60791 64077 65712 67416 68857 71188 72557 72579 73034 76479 78864 84878 85436 87079 89328 89466 94128 96772 98633 101972 103933 106782 109551 115382 119288 121582 127317 128154 134832 137714 142376 145114 145158 146068 152958 169756 170872 173073 174158 178932 182373 193544 197266 203944 206571 207866 213564 217671 219102 230764 238576 243164 254634 256308 261237 275428 284752 290228 290316 292136 295899 305916 311799 339512 341744 346146 348316 357864 364746 387088 394532 407888 413142 415732 427128 435342 438204 461528 486328 509268 512616 522474 550856 551707 580456 580632 584272 591798 611832 623598 679024 692292 696632 715728 729492 749983 789064 790283 826284 831464 854256 870684 876408 895141 923056 943241 972656 1018536 1025232 1044948 1101712 1103414 1132027 1160912 1161264 1183596 1223664 1247196 1282229 1351129 1384584 1393264 1458984 1499966 1578128 1580566 1652568 1655121 1662928 1741368 1752816 1790282 1886482 2037072 2089896 2134567 2206828 2249267 2249949 2264054 2367192 2370849 2494392 2547709 2564458 2685423 2702258 2769168 2829723 2917968 2999932 3057623 3161132 3221923 3305136 3310242 3396081 3482736 3580564 3649421 3772964 3845521 3846687 4053387 4179792 4269134 4413656 4498534 4499898 4528108 4734384 4741698 4988784 5095418 5128916 5227549 5370846 5404516 5659446 5999864 6115246 6322264 6403701 6443846 6620484 6747801 6792162 7161128 7298842 7545928 7643127 7691042 7693374 8106774 8538268 8827312 8997068 8999796 9056216 9172869 9483396 9665769 10190836 10257832 10455098 10741692 10809032 10948263 11318892 11536563 11999728 12230492 12644528 12807402 12887692 13240968 13495602 13584324 14322256 14597684 15091856 15286254 15382084 15386748 15682647 16213548 17076536 17994136 17999592 18112432 18345738 18966792 19331538 20381672 20515664 20910196 21483384 21618064 21896526 22637784 23073126 24460984 25614804 25775384 26481936 26991204 27168648 27749371 29195368 29240471 30572508 30764168 30773496 31365294 32427096 33120217 34153072 35988272 35999184 36691476 37933584 38663076 39749099 40763344 41820392 41884999 42966768 43793052 45275568 46146252 47442473 48921968 49991773 51229608 51550768 53982408 54337296 55498742 58390736 58480942 61145016 61528336 61546992 62730588 64854192 66240434 67958137 73382952 77326152 78978979 79498198 83248113 83640784 83769998 87586104 87721413 92292504 94884946 99360651 99983546 102459216 107964816 110997484 113132051 116961884 119211151 119247297 122290032 125461176 125654997 132480868 135028577 135916274 142327419 146765904 149975319 154652304 157957958 158996396 162054019 166496226 167539996 175172208 175442826 184585008 189769892 193419313 198721302 199967092 203874411 221994968 226264102 233923768 236936937 238422302 238494594 250922352 251309994 264961736 270057154 271832548 284654838 299950638 315915916 317992792 324108038 332992452 335079992 339396153 350885652 357633453 379539784 386838626 397442604 399934184 405085731 407748822 443989936 452528204 467847536 473873874 476844604 476989188 486162057 502619988 529923472 540114308 543665096 569309676 580257939 599901276 631831832 635985584 648216076 665984904 670159984 678792306 701771304 715266906 759079568 773677252 794885208 799868368 810171462 815497644 905056408 947747748 953689208 953978376 972324114 1005239976 1026726727 1080228616 1087330192 1138619352 1160515878 1199802552 1263663664 1296432152 1331969808 1357584612 1403542608 1430533812 1470716663 1547354504 1549744963 1589770416 1620342924 1630995288 1755371501 1810112816 1895495496 1907378416 1907956752 1944648228 2010479952 2053453454 2106702247 2160457232 2277238704 2321031756 2399605104 2514451069 2592864304 2715169224 2861067624 2941433326 3080180181 3094709008 3099489926 3240685848 3261990576 3510743002 3790990992 3889296456 4106906908 4185885887 4213404494 4412149989 4642063512 4649234889 5028902138 5266114503 5430338448 5722135248 5882866652 5995998703 6160360362 6198979852 6320106741 6481371696 7021486004 7156514581 7543353207 7778592912 8213813816 8371771774 8426808988 8824299978 9284127024 9298469778 10057804276 10532229006 11765733304 11991997406 12320720724 12397959704 12557657661 12640213482 14042972008 14313029162 15086706414 16427627632 16743543548 16853617976 17648599956 17987996109 18596939556 20115608552 21064458012 21469543743 23531466608 23983994812 24641441448 24795919408 25115315322 25280426964 28085944016 28626058324 30173412828 33487087096 33707235952 35297199912 35975992218 37193879112 40231217104 42128916024 42939087486 47967989624 49282882896 50230630644 50560853928 54416516531 57252116648 60346825656 66974174192 70594399824 71951984436 74387758224 77947983139 84257832048 85878174972 93034689553 95935979248 100461261288 101121707856 108833033062 114504233296 120693651312 143903968872 155895966278 163249549593 171756349944 186069379106 200922522576 217666066124 221851952011 233843949417 279104068659 287807937744 311791932556 326499099186 343512699888 372138758212 435332132248 443703904022 467687898834 558208137318 623583865112 652998198372 665555856033 744277516424 870664264496 887407808044 935375797668 1116416274636 1247167730224 1305996396744 1331111712066 1488555032848 1774815616088 1870751595336 2232832549272 2611992793488 2662223424132 2884075376143 3549631232176 3741503190672 4465665098544 5324446848264 5768150752286 8652226128429 10648893696528 11536301504572 17304452256858 23072603009144 34608904513716 46145206018288 69217809027432 138435618054864
- Sum of all divisors σ(n): 416672483587584
- Sum of proper divisors (its aliquot sum) s(n): 278236865532720
- 138435618054864 is an abundant number, because the sum of its proper divisors (278236865532720) is greater than itself. Its abundance is 139801247477856
Bases of 138435618054864
- Binary: 111110111101000000011011101011010100010110100002
- Hexadecimal: 0x7DE80DD6A2D0
- Base-36: 1D2KG0ORTC
Squares and roots of 138435618054864
- 138435618054864 squared (1384356180548642) is 19164420346232187494914058496
- 138435618054864 cubed (1384356180548643) is 2653038375293863605225982279502875433324544
-
The
square root of 138435618054864 is 11765866.6512443527 -
The
cube root of 138435618054864 is 51730.8103205309
Scales and comparisons
How big is 138435618054864?- 138,435,618,054,864 seconds is equal to 4,401,824 years, 23 weeks, 20 hours, 34 minutes, 24 seconds.
-
To count from 1 to 138,435,618,054,864 would take you about eleven million, four thousand, five hundred sixty-one 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 138435618054864 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138435618054864
- 138435618054864 backwards is 468450816534831
- The number of decimal digits it has is: 15
- The sum of 138435618054864's digits is 66
- More coming soon!
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The information we have on file for 138435618054864 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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