135138989440
135,138,989,440 is an even composite number composed of seven prime numbers multiplied together.
135138989440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135138989440:
27 × 5 × 72 × 13 × 172 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 17 × 17 × 31 × 37)See below for interesting mathematical facts about the number 135138989440 from the Numbermatics database.
Names of 135138989440
- Cardinal: 135138989440 can be written as One hundred thirty-five billion, one hundred thirty-eight million, nine hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3513898944 × 1011
Factors of 135138989440
Divisors of 135138989440
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 31 32 34 35 37 40 49 52 56 62 64 65 68 70 74 80 85 91 98 104 112 119 124 128 130 136 140 148 155 160 170 182 185 196 208 217 221 224 238 245 248 259 260 272 280 289 296 310 320 340 364 370 392 403 416 434 442 448 455 476 481 490 496 518 520 527 544 560 578 592 595 620 629 637 640 680 728 740 784 806 832 833 868 884 896 910 952 962 980 992 1036 1040 1054 1085 1088 1105 1120 1147 1156 1184 1190 1240 1258 1274 1295 1360 1445 1456 1480 1519 1547 1568 1612 1664 1666 1736 1768 1813 1820 1904 1924 1960 1984 2015 2023 2072 2080 2108 2170 2176 2210 2240 2294 2312 2368 2380 2405 2480 2516 2548 2590 2635 2720 2821 2890 2912 2960 3038 3094 3136 3145 3185 3224 3332 3367 3472 3536 3626 3640 3689 3757 3808 3848 3920 3968 4030 4046 4144 4160 4165 4216 4340 4403 4420 4480 4588 4624 4736 4760 4810 4960 5032 5096 5180 5270 5440 5642 5735 5780 5824 5920 6076 6188 6272 6290 6370 6448 6664 6734 6851 6944 7072 7252 7280 7378 7514 7595 7616 7696 7735 7840 8029 8060 8092 8177 8288 8320 8330 8432 8680 8806 8840 8959 9065 9176 9248 9520 9620 9920 10064 10115 10192 10360 10540 10693 10829 10880 11284 11470 11560 11648 11840 12152 12376 12580 12740 12896 13328 13468 13702 13888 14105 14144 14161 14504 14560 14756 14911 15028 15190 15232 15392 15470 15680 16058 16120 16184 16354 16576 16660 16835 16864 17360 17612 17680 17918 18130 18352 18445 18496 18785 19040 19240 19499 19747 19840 20128 20230 20384 20720 21080 21386 21658 22015 22568 22940 23120 23569 23680 24304 24752 25160 25480 25792 25823 26299 26656 26936 27404 27776 28210 28288 28322 29008 29120 29512 29822 30056 30380 30784 30821 30940 31360 32116 32240 32368 32708 33152 33320 33670 33728 34255 34720 35224 35360 35836 36260 36704 36890 36992 37570 38080 38480 38998 39494 40145 40256 40460 40768 40885 41440 42160 42772 43316 44030 44795 45136 45880 46240 47138 47957 48608 49504 50320 50960 51584 51646 52598 53312 53465 53872 54145 54808 56203 56420 56644 57239 58016 58240 59024 59644 60112 60760 61568 61642 61880 62713 64232 64480 64736 65416 66640 67340 67456 68510 69440 70448 70720 70805 71672 72520 73408 73780 74555 74851 75140 76160 76960 77996 78988 80290 80512 80920 81536 81770 82880 84320 85544 86632 88060 89590 90272 91760 92480 94276 95914 97216 97495 98735 99008 100640 101920 103292 104377 105196 106624 106930 107744 108290 109616 112406 112840 113288 114478 116032 116467 117845 118048 119288 120224 121520 123284 123760 125426 128464 128960 129115 129472 130832 131495 133280 134680 136493 137020 138880 139009 140896 141440 141610 143344 145040 146816 147560 149110 149702 150280 153920 154105 155992 157976 160580 161840 163540 165760 168640 171088 173264 176120 179180 180544 183520 184093 184960 188552 191828 194432 194990 197470 198016 201280 203840 206584 208754 210392 213860 215488 216580 219232 224812 225680 226576 228956 232064 232934 235690 236096 238576 239785 240448 243040 246568 247520 250852 253487 256928 257920 258230 258944 261664 262990 266560 269360 272986 274040 278018 281015 281792 283220 286195 286688 290080 295120 298220 299404 300560 307840 308210 311984 313565 315952 321160 323680 327080 331483 335699 337280 342176 346528 352240 358360 361088 367040 368186 374255 377104 383656 389980 394940 400673 402560 407680 413168 417508 420784 427720 430976 433160 438464 438991 449624 451360 453152 457912 465868 471380 472192 477152 479570 480896 486080 493136 495040 501704 506974 513856 516460 521885 523328 523957 525980 533120 538720 545972 548080 556036 562030 563584 566440 572390 573376 580160 582335 590240 596440 598808 601120 616420 623968 627130 631904 642320 647360 654160 662966 671398 682465 684352 693056 695045 704480 716720 730639 734080 736372 748510 754208 767312 779960 789880 801346 815269 826336 835016 841568 855440 866320 876928 877982 899248 902720 906304 915824 920465 931736 942760 954304 955451 959140 972160 973063 986272 990080 1003408 1013948 1027712 1032920 1043770 1046656 1047914 1051960 1077440 1091944 1096160 1112072 1124060 1132880 1144780 1146752 1160320 1164670 1180480 1192880 1197616 1202240 1232840 1247936 1254260 1263808 1267435 1284640 1294720 1308320 1325932 1342796 1364930 1368704 1386112 1390090 1408960 1433440 1461278 1472744 1497020 1508416 1534624 1559920 1579760 1602692 1630538 1652672 1657415 1670032 1678495 1683136 1710880 1732640 1755964 1774409 1798496 1805440 1812608 1831648 1840930 1863472 1885520 1908608 1910902 1918280 1946126 1972544 2003365 2006816 2027896 2065840 2087540 2095828 2103920 2154880 2183888 2192320 2194955 2224144 2248120 2265760 2289560 2320381 2329340 2360960 2385760 2395232 2404480 2465680 2495872 2508520 2527616 2534870 2569280 2616640 2619785 2651864 2685592 2729860 2780180 2817920 2866880 2922556 2945488 2994040 3016832 3069248 3119840 3159520 3205384 3261076 3305344 3314830 3340064 3356990 3366272 3421760 3465280 3511928 3548818 3596992 3653195 3663296 3681860 3726944 3771040 3821804 3836560 3892252 3945088 4006730 4013632 4055792 4076345 4131680 4175080 4191656 4207840 4309279 4367776 4384640 4389910 4448288 4496240 4531520 4579120 4640762 4658680 4771520 4777255 4790464 4865315 4931360 5017040 5069740 5138560 5233280 5239570 5303728 5371184 5459720 5560360 5706883 5733760 5845112 5890976 5988080 6138496 6239680 6319040 6410768 6522152 6629660 6680128 6713980 6811441 6843520 6930560 7023856 7097636 7193984 7306390 7326592 7363720 7453888 7542080 7643608 7673120 7784504 8013460 8027264 8111584 8152690 8263360 8350160 8383312 8415680 8618558 8735552 8779820 8872045 8896576 8992480 9063040 9158240 9281524 9317360 9543040 9554510 9580928 9730630 9862720 10034080 10139480 10479140 10607456 10742368 10919440 11120720 11413766 11601905 11690224 11781952 11976160 12420863 12479360 12638080 12821536 13044304 13259320 13360256 13427960 13622882 14047712 14195272 14612780 14727440 14907776 15084160 15287216 15346240 15569008 16026920 16223168 16242667 16305380 16526720 16700320 16766624 16831360 17237116 17471104 17559640 17744090 17793152 17984960 18316480 18563048 18634720 19109020 19461260 19725440 20068160 20278960 20958280 21214912 21484736 21546395 21838880 22241440 22827532 23203810 23380448 23563904 23952320 24841726 25643072 26088608 26518640 26855920 27245764 28095424 28390544 28534415 29225560 29454880 30164953 30574432 30692480 31138016 32053840 32446336 32485334 32610760 33400640 33533248 34057205 34474232 35119280 35488180 35969920 36632960 37126096 37269440 38218040 38922520 40136320 40557920 41916560 42429824 42969472 43092790 43677760 44482880 45655064 46407620 46760896 47904640 49683452 51286144 52177216 53037280 53711840 54491528 56190848 56781088 57068830 58451120 58909760 60329906 61148864 62104315 62276032 64107680 64970668 65221520 66801280 67066496 68114410 68948464 70238560 70976360 74252192 74538880 76436080 77845040 81115840 81213335 83833120 86185580 87355520 88965760 91310128 92815240 93521792 99366904 104354432 106074560 107423680 108983056 113562176 114137660 116902240 117819520 120659812 122297728 124208630 124552064 128215360 129941336 130443040 136228820 137896928 140477120 141952720 148504384 150824765 152872160 155690080 162231680 162426670 167666240 172371160 182620256 185630480 198733808 211154671 212149120 214847360 217966112 227124352 228275320 233804480 241319624 248417260 256430720 259882672 260886080 272457640 275793856 280954240 283905440 297008768 301649530 305744320 311380160 324853340 335332480 344742320 365240512 371260960 397467616 422309342 435932224 456550640 467608960 482639248 496834520 519765344 521772160 544915280 551587712 567810880 603299060 611488640 622760320 649706680 689484640 730481024 742521920 794935232 844618684 871864448 913101280 965278496 993669040 1039530688 1055773355 1089830560 1135621760 1206598120 1299413360 1378969280 1485043840 1589870464 1689237368 1826202560 1930556992 1987338080 2079061376 2111546710 2179661120 2413196240 2598826720 2757938560 3378474736 3652405120 3861113984 3974676160 4223093420 4359322240 4826392480 5197653440 6756949472 7949352320 8446186840 9652784960 10395306880 13513898944 16892373680 19305569920 27027797888 33784747360 67569494720 135138989440
- Sum of all divisors σ(n): 455791553280
- Sum of proper divisors (its aliquot sum) s(n): 320652563840
- 135138989440 is an abundant number, because the sum of its proper divisors (320652563840) is greater than itself. Its abundance is 185513574400
Bases of 135138989440
- Binary: 11111011101101110100101010101100000002
- Hexadecimal: 0x1F76E95580
- Base-36: 1Q2Y9JLS
Squares and roots of 135138989440
- 135138989440 squared (1351389894402) is 18262546466864431513600
- 135138989440 cubed (1351389894403) is 2467982074133101720227993616384000
-
The
square root of 135138989440 is 367612.5534309187 -
The
cube root of 135138989440 is 5131.6877443401
Scales and comparisons
How big is 135138989440?- 135,138,989,440 seconds is equal to 4,297 years, 16 hours, 10 minutes, 40 seconds.
-
To count from 1 to 135,138,989,440 would take you about eight thousand, five hundred ninety-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 135138989440 cubic inches would be around 427.6 feet tall.
Recreational maths with 135138989440
- 135138989440 backwards is 044989831531
- The number of decimal digits it has is: 12
- The sum of 135138989440's digits is 55
- More coming soon!
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The information we have on file for 135138989440 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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