145422007520400
145,422,007,520,400 is an even composite number composed of seven prime numbers multiplied together.
145422007520400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 145422007520400:
24 × 32 × 52 × 133 × 61 × 73 × 4129
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 61 × 73 × 4129)See below for interesting mathematical facts about the number 145422007520400 from the Numbermatics database.
Names of 145422007520400
- Cardinal: 145422007520400 can be written as One hundred forty-five trillion, four hundred twenty-two billion, seven million, five hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 1.454220075204 × 1014
Factors of 145422007520400
Divisors of 145422007520400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 45 48 50 52 60 61 65 72 73 75 78 80 90 100 104 117 120 122 130 144 146 150 156 169 180 183 195 200 208 219 225 234 240 244 260 292 300 305 312 325 338 360 365 366 390 400 438 450 468 488 507 520 549 584 585 600 610 624 650 657 676 720 730 732 780 793 845 876 900 915 936 949 975 976 1014 1040 1095 1098 1168 1170 1200 1220 1300 1314 1352 1460 1464 1521 1525 1560 1586 1690 1752 1800 1825 1830 1872 1898 1950 2028 2190 2196 2197 2340 2379 2440 2535 2600 2628 2704 2745 2847 2920 2925 2928 3042 3050 3120 3172 3285 3380 3504 3600 3650 3660 3796 3900 3965 4056 4129 4225 4380 4392 4394 4453 4575 4680 4745 4758 4880 5070 5200 5256 5475 5490 5694 5840 5850 6084 6100 6344 6570 6591 6760 7137 7300 7320 7592 7605 7800 7930 8112 8258 8450 8541 8760 8784 8788 8906 9150 9360 9490 9516 10140 10309 10512 10950 10980 10985 11388 11700 11895 12168 12200 12337 12387 12675 12688 13140 13182 13359 13520 13725 14235 14274 14600 14640 15184 15210 15600 15860 16425 16516 16900 17082 17520 17576 17812 18300 18980 19032 19773 19825 20280 20618 20645 21900 21960 21970 22265 22776 23400 23725 23790 24336 24400 24674 24774 25350 26280 26364 26718 27450 28470 28548 29200 30420 30927 31720 32850 32955 33032 33800 34164 35152 35624 35685 36600 37011 37161 37960 38025 38064 39546 39650 40077 40560 41236 41290 42705 43800 43920 43940 44530 45552 46800 47450 47580 49348 49548 50700 51545 52560 52728 53436 53677 54900 54925 56940 57096 57889 59475 60840 61685 61854 61935 63440 65700 65910 66064 66795 67600 68328 71175 71248 71370 73200 74022 74322 75920 76050 79092 79300 80154 82472 82580 85410 87600 87880 89060 92781 94900 95160 98696 98865 99096 101400 103090 103225 105456 106872 107354 109800 109850 111033 111325 113880 114192 115778 118950 121680 123370 123708 123870 131400 131820 133590 134017 136656 142350 142740 148044 148644 152100 154635 158184 158600 160308 160381 161031 164775 164944 165160 170820 173667 175760 178120 178425 185055 185562 185805 189800 190320 197392 197730 198192 200385 202800 206180 206450 213525 213744 214708 219600 219700 222066 222650 227760 231556 237900 246740 247416 247740 251869 257725 262800 263640 267180 268034 268385 284700 285480 289445 296088 297288 301417 304200 308425 309270 309675 316368 317200 320616 320762 322062 329550 330320 333975 341640 347334 356240 356850 370110 371124 371610 379600 395460 400770 402051 412360 412900 427050 429416 439400 444132 445300 463112 463905 475800 481143 483093 493480 494325 494832 495480 503738 515450 521001 527280 534360 536068 536770 555165 569400 570960 578890 592176 594576 602834 608400 616850 618540 619350 641232 641524 644124 659100 667950 670085 683280 694668 697801 713700 740220 742248 743220 752557 755607 773175 790920 801540 801905 804102 805155 824720 825800 854100 858832 868335 878800 888264 890600 904251 925275 926224 927810 929025 951600 962286 966186 986960 988650 990960 1001925 1007476 1030900 1042002 1068720 1072136 1073540 1110330 1138800 1157780 1205668 1206153 1233700 1237080 1238700 1259345 1283048 1288248 1318200 1335900 1340170 1341925 1389336 1395602 1427400 1443429 1447225 1480440 1484496 1486440 1505114 1507085 1511214 1546350 1581840 1603080 1603810 1608204 1610310 1651600 1708200 1736670 1776528 1781200 1808502 1850550 1855620 1858050 1924572 1932372 1977300 2003850 2010255 2014952 2061800 2084004 2093403 2144272 2147080 2220660 2257671 2266821 2315560 2319525 2405715 2411336 2412306 2415465 2467400 2474160 2477400 2518690 2566096 2576496 2605005 2636400 2671800 2680340 2683850 2712753 2775825 2778672 2791204 2854800 2886858 2894450 2960880 2972880 3010228 3014170 3022428 3092700 3206160 3207620 3216408 3220620 3274297 3350425 3416400 3473340 3489005 3617004 3701100 3711240 3716100 3762785 3778035 3849144 3864744 3918421 3954600 4007700 4009525 4020510 4025775 4029904 4123600 4168008 4186806 4294160 4341675 4441320 4515342 4521255 4533642 4631120 4639050 4811430 4822672 4824612 4830930 4934800 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1018789460 1021580664 1064146525 1085101200 1088569560 1103186220 1106712386 1173988920 1175526300 1178746920 1195118405 1222547352 1256041800 1273486825 1276975830 1306283472 1309718800 1323823464 1324426298 1354602600 1360711950 1378982775 1408786704 1410631560 1434142086 1467486150 1470914960 1473433650 1528184190 1532370996 1567368400 1632854340 1654779330 1660068579 1702634440 1760983380 1763289450 1814282600 1833821028 1838643700 1912189448 1915463745 1956648200 1964578200 1986639447 2037578920 2041067925 2043161328 2128293050 2151213129 2177139120 2201229225 2206372440 2213424772 2292276285 2347977840 2351052600 2357493840 2390236810 2445094704 2512083600 2546973650 2553951660 2647646928 2648852596 2709205200 2721423900 2757965550 2766780965 2821263120 2868284172 2934972300 2946867300 3056368380 3064741992 3107307853 3192439575 3265708680 3309558660 3311065745 3320137158 3405268880 3521966760 3526578900 3585355215 3628565200 3667642056 3677287400 3820460475 3824378896 3830927490 3913296400 3929156400 3973278894 4075157840 4082135850 4136948325 4256586100 4302426258 4402458450 4412744880 4426849544 4584552570 4702105200 4780473620 4980205737 5093947300 5107903320 5297705192 5442847800 5515931100 5533561930 5736568344 5869944600 5893734600 5959918341 5975592025 6112736760 6129483984 6214615706 6384879150 6531417360 6619117320 6622131490 6640274316 7043933520 7053157800 7170710430 7335284112 7354574800 7640920950 7661854980 7946557788 8164271700 8273896650 8300342895 8513172200 8604852516 8804916900 8853699088 9169105140 9321923559 9560947240 9577318725 9933197235 9960411474 10187894600 10215806640 10595410384 10756065645 10885695600 11031862200 11067123860 11461381425 11473136688 11739889200 11787469200 11919836682 11951184050 12225473520 12429231412 12769758300 13238234640 13244262980 13280548632 13833904825 14106315600 14341420860 15281841900 15323709960 15536539265 15893115576 16328543400 16547793300 16555328725 16600685790 17026344400 17209705032 17609833800 17926776075 18338210280 18643847118 19121894480 19154637450 19866394470 19920822948 20375789200 21512131290 22063724400 22134247720 22922762850 23839673364 23902368100 24858462824 24901028685 25539516600 26488525960 26561097264 27667809650 27965770677 28682841720 29799591705 30563683800 30647419920 31073078530 31786231152 32657086800 33095586600 33110657450 33201371580 34419410064 35219667600 35853552150 36676420560 37287694236 38309274900 39732788940 39841645896 40395002089 41501714475 43024262580 44268495440 45845525700 46609617795 47679346728 47804736200 49665986175 49716925648 49802057370 51079033200 52977051920 53780328225 55335619300 55931541354 57365683440 59599183410 61127367600 62146157060 66191173200 66221314900 66402743160 71707104300 74575388472 76618549800 77682696325 79465577880 79683291792 80790004178 83003428950 86048525160 91691051400 93219235590 95358693456 95609472400 99331972350 99604114740 107560656450 110671238600 111863082708 119198366820 121185006267 124292314120 124505143425 132442629800 132805486320 139828853385 143414208600 148997958525 149150776944 153237099600 155365392650 158931155760 161580008356 166006857900 172097050320 183382102800 186438471180 198663944700 199208229480 201975010445 215121312900 221342477200 223726165416 233048088975 238396733640 242370012534 248584628240 249010286850 264885259600 279657706770 286828417200 297995917050 310730785300 323160016712 332013715800 363555018801 372876942360 397327889400 398416458960 403950020890 430242625800 447452330832 466096177950 476793467280 484740025068 498020573700 559315413540 595991834100 605925031335 621461570600 646320033424 664027431600 699144266925 727110037602 745753884720 794655778800 807900041780 860485251600 932192355900 969480050136 996041147400 1009875052225 1118630827080 1191983668200 1211850062670 1242923141200 1398288533850 1454220075204 1615800083560 1817775094005 1864384711800 1938960100272 1992082294800 2019750104450 2237261654160 2383967336400 2423700125340 2796577067700 2908440150408 3029625156675 3231600167120 3635550188010 3728769423600 4039500208900 4847400250680 5593154135400 5816880300816 6059250313350 7271100376020 8079000417800 9088875470025 9694800501360 11186308270800 12118500626700 14542200752040 16158000835600 18177750940050 24237001253400 29084401504080 36355501880100 48474002506800 72711003760200 145422007520400
- Sum of all divisors σ(n): 563400408989600
- Sum of proper divisors (its aliquot sum) s(n): 417978401469200
- 145422007520400 is an abundant number, because the sum of its proper divisors (417978401469200) is greater than itself. Its abundance is 272556393948800
Bases of 145422007520400
- Binary: 1000010001000010101100110001100111001100100100002
- Hexadecimal: 0x8442B319CC90
- Base-36: 1FJPY4LC40
Squares and roots of 145422007520400
- 145422007520400 squared (1454220075204002) is 21147560271263274156416160000
- 145422007520400 cubed (1454220075204003) is 3075320668805760118382677785432089664000000
-
The
square root of 145422007520400 is 12059104.7561748959 -
The
cube root of 145422007520400 is 52586.7961094589
Scales and comparisons
How big is 145422007520400?- 145,422,007,520,400 seconds is equal to 4,623,970 years, 1 week, 1 hour.
-
To count from 1 to 145,422,007,520,400 would take you about eleven million, five hundred fifty-nine thousand, nine hundred twenty-five 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 145422007520400 cubic inches would be around 4382.2 feet tall.
Recreational maths with 145422007520400
- 145422007520400 backwards is 004025700224541
- 145422007520400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 145422007520400's digits is 36
- More coming soon!
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The information we have on file for 145422007520400 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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