135123246720
135,123,246,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135123246720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
135123246720 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 135123246720:
27 × 32 × 5 × 72 × 11 × 71 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 71 × 613)See below for interesting mathematical facts about the number 135123246720 from the Numbermatics database.
Names of 135123246720
- Cardinal: 135123246720 can be written as One hundred thirty-five billion, one hundred twenty-three million, two hundred forty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3512324672 × 1011
Factors of 135123246720
Divisors of 135123246720
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 55 56 60 63 64 66 70 71 72 77 80 84 88 90 96 98 99 105 110 112 120 126 128 132 140 142 144 147 154 160 165 168 176 180 192 196 198 210 213 220 224 231 240 245 252 264 280 284 288 294 308 315 320 330 336 352 355 360 384 385 392 396 420 426 440 441 448 462 480 490 495 497 504 528 539 560 568 576 588 613 616 630 639 640 660 672 693 704 710 720 735 770 781 784 792 840 852 880 882 896 924 960 980 990 994 1008 1056 1065 1078 1120 1136 1152 1155 1176 1226 1232 1260 1278 1320 1344 1386 1408 1420 1440 1470 1491 1540 1562 1568 1584 1617 1680 1704 1760 1764 1839 1848 1920 1960 1980 1988 2016 2112 2130 2156 2205 2240 2272 2310 2343 2352 2452 2464 2485 2520 2556 2640 2688 2695 2772 2840 2880 2940 2982 3065 3080 3124 3136 3168 3195 3234 3360 3408 3465 3479 3520 3528 3678 3696 3905 3920 3960 3976 4032 4224 4260 4291 4312 4410 4473 4480 4544 4620 4686 4704 4851 4904 4928 4970 5040 5112 5280 5390 5467 5517 5544 5680 5760 5880 5964 6130 6160 6248 6272 6336 6390 6468 6720 6743 6816 6930 6958 7029 7040 7056 7356 7392 7455 7810 7840 7920 7952 8064 8085 8520 8582 8624 8820 8946 9088 9195 9240 9372 9408 9702 9808 9856 9940 10080 10224 10437 10560 10780 10934 11034 11088 11360 11715 11760 11928 12260 12320 12496 12672 12780 12873 12936 13440 13486 13632 13860 13916 14058 14112 14712 14784 14910 15620 15680 15840 15904 16170 16401 17040 17164 17248 17395 17640 17892 18390 18480 18744 18816 19404 19616 19880 20160 20229 20448 20874 21120 21455 21560 21868 22068 22176 22365 22720 23430 23520 23856 24255 24520 24640 24992 25560 25746 25872 26972 27264 27335 27585 27720 27832 28116 28224 29424 29568 29820 30037 31240 31311 31360 31680 31808 32340 32802 33715 34080 34328 34496 34790 35145 35280 35784 36780 36960 37488 38269 38619 38808 39232 39760 40320 40458 40896 41748 42910 43120 43523 43736 44136 44352 44730 45440 46860 47040 47201 47712 48510 49040 49203 49280 49984 51120 51492 51744 52185 53944 54670 55170 55440 55664 56232 56448 58848 59640 60074 60687 62480 62622 63360 63616 64365 64680 65604 67430 68160 68656 68992 69580 70290 70560 71568 73560 73920 74976 76538 77238 77616 78464 79520 80916 81792 82005 83496 85820 86240 87046 87472 88272 88704 89460 90111 93720 94080 94402 95424 97020 98080 98406 99968 101145 102240 102984 103488 104370 107888 109340 110340 110880 111328 112464 114807 117696 119280 120148 121374 124960 125244 128730 129360 130569 131208 134860 136320 137312 139160 140580 141120 141603 143136 147120 147840 149952 150185 153076 154476 155232 156555 159040 161832 164010 166992 171640 172480 174092 174944 176544 178920 180222 187440 188804 190848 191345 193095 194040 196160 196812 202290 204480 205968 206976 208740 215776 217615 218680 220680 221760 222656 224928 229614 235392 236005 238560 240296 242748 246015 249920 250488 257460 258720 261138 262416 269720 270333 274624 278320 281160 282240 283206 286272 294240 299904 300370 303435 304661 306152 308952 310464 313110 318080 323664 328020 330407 333984 343280 344421 344960 348184 349888 353088 357840 360444 374880 377608 382690 386190 388080 391707 392320 393624 404580 408960 411936 417480 424809 431552 435230 437360 441360 443520 445312 449856 450555 459228 472010 477120 478753 480592 485496 492030 499840 500976 514920 517440 522276 524832 539440 540666 549248 556640 562320 566412 572544 574035 588480 600740 606870 609322 612304 617904 620928 626220 647328 652845 656040 660814 667968 686560 688842 696368 699776 706176 708015 715680 720888 749760 755216 765380 772380 776160 783414 787248 809160 823872 834960 849618 863104 870460 874720 882720 899712 901110 913983 918456 944020 954240 957506 961184 970992 984060 991221 1001952 1029840 1034880 1044552 1049664 1078880 1081332 1113280 1124640 1132824 1148070 1176960 1201480 1213740 1218644 1224608 1235808 1252440 1294656 1305690 1312080 1321628 1335936 1351665 1373120 1377684 1392736 1416030 1431360 1436259 1441776 1499520 1510432 1523305 1530760 1544760 1552320 1566828 1574496 1618320 1647744 1652035 1669920 1699236 1722105 1740920 1749440 1765440 1802220 1827966 1836912 1888040 1915012 1922368 1941984 1958535 1968120 1982442 2003904 2059680 2089104 2099328 2124045 2132627 2157760 2162664 2226560 2249280 2265648 2296140 2393765 2402960 2427480 2437288 2449216 2471616 2504880 2589312 2611380 2624160 2643256 2703330 2741949 2746240 2755368 2785472 2832060 2862720 2872518 2883552 2973663 3020864 3046610 3061520 3089520 3104640 3133656 3148992 3236640 3304070 3339840 3351271 3398472 3444210 3481840 3498880 3530880 3604440 3655932 3673824 3776080 3830024 3844736 3883968 3917070 3936240 3964884 4007808 4119360 4178208 4248090 4265254 4308777 4315520 4325328 4498560 4531296 4569915 4592280 4787530 4805920 4854960 4874576 4898432 4943232 4956105 5009760 5222760 5248320 5286512 5406660 5483898 5510736 5570944 5664120 5745036 5767104 5947326 6041728 6093220 6123040 6179040 6267312 6297984 6397881 6473280 6608140 6679680 6702542 6796944 6888420 6963680 7181295 7208880 7311864 7347648 7552160 7660048 7767936 7834140 7872480 7929768 8238720 8356416 8496180 8530508 8617554 8650656 9062592 9139830 9184560 9575060 9611840 9709920 9749152 9912210 10019520 10053813 10445520 10496640 10573024 10663135 10813320 10967796 11021472 11328240 11490072 11534208 11894652 12186440 12246080 12358080 12534624 12795762 12946560 13216280 13405084 13593888 13709745 13776840 13927360 14362590 14417760 14623728 14695296 14868315 15104320 15320096 15668280 15744960 15859536 16712832 16756355 16992360 17061016 17235108 17301312 18125184 18279660 18369120 19150120 19193643 19223680 19419840 19498304 19824420 20039040 20107626 20891040 21146048 21326270 21543885 21626640 21935592 22042944 22656480 22980144 23458897 23789304 24372880 24492160 24716160 25069248 25591524 26432560 26810168 27187776 27419490 27553680 27854720 28725180 28835520 29247456 29736630 30161439 30208640 30640192 31336560 31489920 31719072 31989405 33512710 33984720 34122032 34470216 34602624 36559320 36738240 38300240 38387286 38839680 38996608 39648840 40215252 41782080 42292096 42652540 43087770 43253280 43871184 44085888 45312960 45960288 46917794 47578608 48745760 50138496 50269065 51183048 52865120 53620336 54375552 54838980 55107360 57450360 57671040 58494912 59473260 60322878 61280384 62673120 63438144 63978810 67025420 67969440 68244064 68940432 70376691 73118640 73476480 76600480 76774572 79297680 80430504 83564160 85305080 86175540 86506560 87742368 90625920 91920576 93835588 95157216 95968215 97491520 100538130 102366096 105730240 107240672 109677960 110214720 114900720 116989824 117294485 118946520 120645756 125346240 126876288 127957620 134050840 135938880 136488128 137880864 140753382 146237280 150807195 153200960 153549144 158595360 160861008 170610160 172351080 173013120 175484736 183841152 187671176 190314432 191936430 194983040 201076260 204732192 211130073 211460480 214481344 219355920 220429440 229801440 234588970 237893040 241291512 250692480 255915240 268101680 271877760 272976256 275761728 281506764 292474560 301614390 306401920 307098288 317190720 321722016 341220320 344702160 350969472 351883455 375342352 380628864 383872860 402152520 409464384 422260146 428962688 438711840 459602880 469177940 475786080 482583024 511830480 536203360 551523456 563013528 584949120 603228780 614196576 634381440 643444032 682440640 689404320 703766910 750684704 767745720 804305040 818928768 844520292 877423680 919205760 938355880 951572160 965166048 1023660960 1055650365 1072406720 1126027056 1206457560 1228393152 1286888064 1364881280 1378808640 1407533820 1501369408 1535491440 1608610080 1689040584 1754847360 1876711760 1903144320 1930332096 2047321920 2111300730 2144813440 2252054112 2412915120 2456786304 2757617280 2815067640 3002738816 3070982880 3217220160 3378081168 3753423520 3860664192 4094643840 4222601460 4504108224 4825830240 5630135280 6141965760 6434440320 6756162336 7506847040 8445202920 9008216448 9651660480 11260270560 12283931520 13512324672 15013694080 16890405840 19303320960 22520541120 27024649344 33780811680 45041082240 67561623360 135123246720
- Sum of all divisors σ(n): 601439230080
- Sum of proper divisors (its aliquot sum) s(n): 466315983360
- 135123246720 is an abundant number, because the sum of its proper divisors (466315983360) is greater than itself. Its abundance is 331192736640
Bases of 135123246720
- Binary: 11111011101011111100100011110100000002
- Hexadecimal: 0x1F75F91E80
- Base-36: 1Q2OW4G0
Squares and roots of 135123246720
- 135123246720 squared (1351232467202) is 18258291804153990758400
- 135123246720 cubed (1351232467203) is 2467119668138453614119883112448000
-
The
square root of 135123246720 is 367591.1406984669 -
The
cube root of 135123246720 is 5131.4884683677
Scales and comparisons
How big is 135123246720?- 135,123,246,720 seconds is equal to 4,296 years, 26 weeks, 11 hours, 12 minutes.
-
To count from 1 to 135,123,246,720 would take you about eight thousand, five hundred ninety-three 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 135123246720 cubic inches would be around 427.6 feet tall.
Recreational maths with 135123246720
- 135123246720 backwards is 027642321531
- 135123246720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135123246720's digits is 36
- More coming soon!
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The information we have on file for 135123246720 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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