135378904320
135,378,904,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135378904320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
135378904320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 135378904320:
28 × 32 × 5 × 112 × 17 × 29 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 17 × 29 × 197)See below for interesting mathematical facts about the number 135378904320 from the Numbermatics database.
Names of 135378904320
- Cardinal: 135378904320 can be written as One hundred thirty-five billion, three hundred seventy-eight million, nine hundred four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3537890432 × 1011
Factors of 135378904320
Divisors of 135378904320
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 29 30 32 33 34 36 40 44 45 48 51 55 58 60 64 66 68 72 80 85 87 88 90 96 99 102 110 116 120 121 128 132 136 144 145 153 160 165 170 174 176 180 187 192 197 198 204 220 232 240 242 255 256 261 264 272 288 290 306 319 320 330 340 348 352 360 363 374 384 394 396 408 435 440 464 480 484 493 495 510 522 528 544 561 576 580 591 605 612 638 640 660 680 696 704 720 726 748 765 768 788 792 816 870 880 928 935 957 960 968 985 986 990 1020 1044 1056 1088 1089 1122 1152 1160 1182 1210 1224 1276 1280 1305 1320 1360 1392 1408 1440 1452 1479 1496 1530 1576 1584 1595 1632 1683 1740 1760 1773 1815 1856 1870 1914 1920 1936 1970 1972 1980 2040 2057 2088 2112 2167 2176 2178 2244 2304 2320 2364 2420 2448 2465 2552 2610 2640 2720 2784 2805 2816 2871 2880 2904 2955 2958 2992 3060 3152 3168 3190 3264 3349 3366 3480 3509 3520 3546 3630 3712 3740 3828 3840 3872 3940 3944 3960 4080 4114 4176 4224 4334 4352 4356 4437 4488 4640 4728 4785 4840 4896 4930 5104 5220 5280 5423 5440 5445 5568 5610 5713 5742 5760 5808 5910 5916 5984 6120 6171 6304 6336 6380 6501 6528 6698 6732 6960 7018 7040 7092 7260 7395 7424 7480 7656 7744 7880 7888 7920 8160 8228 8352 8415 8448 8668 8712 8865 8874 8976 9280 9456 9570 9680 9792 9860 10047 10208 10285 10440 10527 10560 10835 10846 10880 10890 11136 11220 11426 11484 11520 11616 11820 11832 11968 12240 12342 12608 12672 12760 13002 13056 13396 13464 13920 14036 14080 14184 14355 14520 14790 14960 15312 15488 15760 15776 15840 16269 16320 16456 16704 16745 16830 17139 17336 17424 17545 17730 17748 17952 18513 18560 18912 19140 19360 19503 19584 19720 20094 20416 20570 20880 21054 21120 21670 21692 21760 21780 22185 22272 22440 22852 22968 23232 23640 23664 23837 23936 24480 24684 25216 25344 25520 26004 26792 26928 27115 27840 28072 28368 28565 28710 29040 29580 29920 30141 30624 30855 30976 31520 31552 31581 31680 32505 32538 32640 32912 33408 33490 33660 34278 34672 34848 35090 35460 35496 35904 36839 37026 37120 37824 38280 38720 39006 39168 39440 40188 40832 41140 41760 42108 42240 43340 43384 43560 44370 44880 45704 45936 46464 47280 47328 47674 47872 48807 48960 49368 50235 50432 51040 51417 52008 52635 53584 53856 54230 55680 56144 56736 57130 57420 58080 59160 59653 59840 60282 61248 61710 62843 63040 63104 63162 63360 65010 65076 65280 65824 66816 66980 67320 68556 69344 69696 70180 70920 70992 71511 71808 73678 74052 75648 76560 77440 78012 78880 80376 81345 81664 82280 83520 84216 85695 86680 86768 87120 88740 89760 91408 91872 92565 92928 94560 94656 95348 97121 97515 97614 97920 98736 100470 102080 102834 104016 105270 107168 107712 108460 110517 111360 112288 113472 114260 114840 116160 118320 119185 119306 119680 120564 122496 123420 125686 126080 126208 126324 126720 130020 130152 131648 133960 134640 137112 138688 139392 140360 141840 141984 143022 143616 147356 148104 150705 151296 153120 154880 156024 157760 157905 160752 162690 164560 167040 168432 171390 173360 173536 174240 177480 178959 179520 182816 183744 184195 185130 188529 189120 189312 190696 194242 195030 195228 195840 197472 200940 204160 205668 208032 210540 214336 214533 215424 216920 221034 224576 226944 228520 229680 232320 236640 238370 238612 239360 241128 244035 244992 246840 251372 252160 252648 257085 260040 260304 263296 267920 269280 274224 277376 278784 280720 283680 283968 286044 291363 294712 296208 298265 301410 306240 312048 314215 315520 315810 321504 325380 329120 331551 334080 336864 342780 346720 347072 348480 354960 357555 357918 359040 365632 367488 368390 370260 377058 378240 378624 381392 388484 390060 390456 394944 401880 405229 408320 411336 416064 421080 428672 429066 430848 433840 442068 449152 453888 457040 459360 464640 473280 476740 477224 482256 485605 488070 493680 502744 505296 514170 520080 520608 526592 535840 536877 538560 548448 552585 554752 561440 565587 567360 567936 572088 582726 589424 592416 596530 602820 612480 624096 628430 631040 631620 643008 650760 658240 663102 673728 685560 691273 693440 694144 696960 709920 715110 715836 718080 731264 734976 736780 740520 754116 756480 762784 776968 780120 780912 789888 803760 810458 822672 832128 842160 857344 858132 867680 874089 884136 894795 898304 914080 918720 942645 946560 953480 954448 964512 971210 976140 987360 1005488 1010592 1028340 1040160 1041216 1068331 1071680 1072665 1073754 1077120 1096896 1105170 1122880 1131174 1134720 1135872 1144176 1165452 1178848 1184832 1193060 1205640 1215687 1224960 1248192 1256860 1263240 1286016 1301520 1316480 1326204 1347456 1371120 1382546 1386880 1388288 1393920 1419840 1430220 1431672 1456815 1462528 1473560 1481040 1508232 1525568 1553936 1560240 1561824 1579776 1607520 1620916 1645344 1657755 1664256 1684320 1716264 1735360 1748178 1768272 1789590 1828160 1837440 1885290 1893120 1906960 1908896 1929024 1942420 1952280 1974720 2010976 2021184 2026145 2056680 2073819 2080320 2082432 2136662 2143360 2145330 2147508 2154240 2193792 2210340 2245760 2262348 2269440 2288352 2330904 2357696 2369664 2386120 2411280 2431374 2496384 2513720 2526480 2572032 2603040 2632960 2652408 2684385 2694912 2742240 2765092 2773760 2827935 2839680 2860440 2863344 2913630 2947120 2962080 3016464 3051136 3107872 3120480 3123648 3204993 3215040 3241832 3290688 3315510 3368640 3432528 3456365 3470720 3496356 3536544 3579180 3647061 3656320 3674880 3770580 3813920 3817792 3858048 3884840 3904560 3949440 4021952 4042368 4052290 4113360 4147638 4160640 4164864 4273324 4286720 4290660 4295016 4370445 4387584 4420680 4491520 4524696 4576704 4661808 4715392 4739328 4772240 4822560 4862748 4992768 5027440 5052960 5206080 5304816 5341655 5368770 5484480 5530184 5655870 5679360 5720880 5726688 5827260 5894240 5924160 6032928 6078435 6102272 6215744 6221457 6240960 6247296 6409986 6430080 6483664 6581376 6631020 6737280 6865056 6912730 6941440 6992712 7073088 7158360 7294122 7312640 7541160 7627840 7635584 7716096 7769680 7809120 7898880 8043904 8084736 8104580 8226720 8295276 8321280 8546648 8581320 8590032 8740890 8841360 9049392 9153408 9323616 9430784 9544480 9614979 9645120 9725496 10054880 10105920 10369095 10412160 10609632 10683310 10737540 10968960 11060368 11311740 11441760 11453376 11654520 11751641 11788480 11848320 12065856 12156870 12431488 12442914 12481920 12494592 12819972 12860160 12967328 13162752 13262040 13474560 13730112 13825460 13985424 14146176 14316720 14588244 15082320 15255680 15271168 15539360 15618240 16024965 16087808 16209160 16453440 16590552 17093296 17162640 17180064 17481780 17682720 18098784 18235305 18306816 18647232 19088960 19229958 19290240 19450992 20109760 20211840 20738190 20824320 21219264 21366620 21475080 21937920 22120736 22623480 22883520 22906752 23309040 23503282 23576960 23696640 24131712 24313740 24862976 24885828 24963840 25639944 25934656 26524080 27460224 27650920 27970848 28292352 28633440 29176488 30164640 30511360 31078720 31107285 31236480 32049930 32418320 32906880 33181104 34186592 34325280 34360128 34963560 35254923 35365440 36197568 36470610 37294464 38177920 38459916 38580480 38901984 40219520 40423680 41476380 42438528 42733240 42950160 44241472 45246960 45767040 45813504 46618080 47006564 47153920 48074895 48263424 48627480 49771656 51279888 51869312 53048160 54920448 55301840 55941696 57266880 58352976 58758205 60329280 62157440 62214570 62472960 64099860 64836640 65813760 66362208 68373184 68650560 68720256 69927120 70509846 70730880 72395136 72941220 74588928 76355840 76919832 77803968 80439040 82952760 84877056 85466480 85900320 88482944 90493920 91534080 93236160 94013128 96149790 97254960 99543312 102559776 103738624 105764769 106096320 110603680 111883392 114533760 116705952 117516410 120658560 124314880 124429140 128199720 129673280 132724416 136746368 137301120 137440512 139854240 141019692 141461760 144790272 145882440 153839664 155607936 165905520 170932960 171800640 176274615 176965888 180987840 186472320 188026256 192299580 194509920 199086624 205119552 211529538 212192640 221207360 223766784 229067520 233411904 235032820 241317120 248858280 256399440 259346560 265448832 273492736 274602240 279708480 282039384 291764880 307679328 311215872 331811040 341865920 343601280 352549230 361975680 372944640 376052512 384599160 389019840 398173248 410239104 423059076 424385280 442414720 466823808 470065640 497716560 512798880 518693120 528823845 530897664 559416960 564078768 583529760 615358656 663622080 683731840 687202560 705098460 723951360 752105024 769198320 778039680 796346496 820478208 846118152 884829440 933647616 940131280 995433120 1025597760 1057647690 1118833920 1128157536 1167059520 1230717312 1327244160 1367463680 1410196920 1504210048 1538396640 1556079360 1592692992 1692236304 1880262560 1990866240 2051195520 2115295380 2256315072 2334119040 2461434624 2654488320 2820393840 3008420096 3076793280 3384472608 3760525120 3981732480 4102391040 4230590760 4512630144 4668238080 5640787680 6153586560 6768945216 7521050240 7963464960 8461181520 9025260288 11281575360 12307173120 13537890432 15042100480 16922363040 22563150720 27075780864 33844726080 45126301440 67689452160 135378904320
- Sum of all divisors σ(n): 566795108880
- Sum of proper divisors (its aliquot sum) s(n): 431416204560
- 135378904320 is an abundant number, because the sum of its proper divisors (431416204560) is greater than itself. Its abundance is 296037300240
Bases of 135378904320
- Binary: 11111100001010011011000100101000000002
- Hexadecimal: 0x1F85362500
- Base-36: 1Q6X3R40
Squares and roots of 135378904320
- 135378904320 squared (1353789043202) is 18327447734883714662400
- 135378904320 cubed (1353789043203) is 2481149793330623133607230701568000
-
The
square root of 135378904320 is 367938.7235940243 -
The
cube root of 135378904320 is 5134.7227440835
Scales and comparisons
How big is 135378904320?- 135,378,904,320 seconds is equal to 4,304 years, 32 weeks, 5 days, 11 hours, 12 minutes.
-
To count from 1 to 135,378,904,320 would take you about eight thousand, six hundred nine 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 135378904320 cubic inches would be around 427.9 feet tall.
Recreational maths with 135378904320
- 135378904320 backwards is 023409873531
- 135378904320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135378904320's digits is 45
- More coming soon!
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The information we have on file for 135378904320 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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