135042337920
135,042,337,920 is an even composite number composed of six prime numbers multiplied together.
135042337920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135042337920:
27 × 3 × 5 × 73 × 532 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 53 × 53 × 73)See below for interesting mathematical facts about the number 135042337920 from the Numbermatics database.
Names of 135042337920
- Cardinal: 135042337920 can be written as One hundred thirty-five billion, forty-two million, three hundred thirty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3504233792 × 1011
Factors of 135042337920
Divisors of 135042337920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 53 56 60 64 70 73 80 84 96 98 105 106 112 120 128 140 146 147 159 160 168 192 196 210 212 219 224 240 245 265 280 292 294 318 320 336 343 365 371 384 392 420 424 438 448 480 490 511 530 560 584 588 636 640 672 686 730 735 742 784 795 840 848 876 896 960 980 1022 1029 1060 1095 1113 1120 1168 1176 1272 1344 1372 1460 1470 1484 1533 1568 1590 1680 1696 1715 1752 1855 1920 1960 2044 2058 2120 2190 2226 2240 2336 2352 2544 2555 2597 2688 2744 2809 2920 2940 2968 3066 3136 3180 3360 3392 3430 3504 3577 3710 3869 3920 4088 4116 4240 4380 4452 4480 4672 4704 5088 5110 5145 5194 5488 5565 5618 5840 5880 5936 6132 6272 6360 6720 6784 6860 7008 7154 7420 7665 7738 7791 7840 8176 8232 8427 8480 8760 8904 9344 9408 10176 10220 10290 10388 10731 10976 11130 11236 11607 11680 11760 11872 12264 12720 12985 13440 13720 14016 14045 14308 14840 15330 15476 15582 15680 16352 16464 16854 16960 17520 17808 17885 18179 18816 19345 19663 20352 20440 20580 20776 21462 21952 22260 22472 23214 23360 23520 23744 24528 25039 25440 25970 27083 27440 28032 28090 28616 29680 30660 30952 31164 31360 32704 32928 33708 33920 35040 35616 35770 36358 38690 38955 39326 40880 41160 41552 42135 42924 43904 44520 44944 46428 46720 47040 47488 49056 50078 50880 51940 53655 54166 54537 54880 56180 57232 58035 58989 59360 61320 61904 62328 65408 65856 67416 70080 71232 71540 72716 75117 77380 77910 78652 81249 81760 82320 83104 84270 85848 89040 89888 90895 92856 94080 98112 98315 100156 101760 103880 107310 108332 109074 109760 112360 114464 116070 117978 118720 122640 123808 124656 125195 131712 134832 135415 137641 140160 142464 143080 145432 150234 154760 155820 157304 162498 163520 164640 166208 168540 171696 178080 179776 181790 185712 189581 196224 196630 200312 205057 207760 214620 216664 218148 219520 224720 228928 232140 235956 237440 245280 247616 249312 250390 269664 270830 272685 275282 286160 290864 294945 300468 309520 311640 314608 324996 327040 329280 332416 337080 343392 356160 359552 363580 371424 375585 379162 393260 400624 406245 410114 412923 415520 429240 433328 436296 449440 457856 464280 471912 490560 495232 498624 500780 539328 541660 545370 550564 568743 572320 581728 589890 600936 615171 619040 623280 629216 649992 658560 674160 686784 688205 712320 727160 742848 751170 758324 786520 801248 812490 820228 825846 831040 858480 866656 872592 898880 928560 943824 947905 963487 981120 997248 1001560 1025285 1078656 1083320 1090740 1101128 1137486 1144640 1163456 1179780 1201872 1230342 1238080 1246560 1258432 1299984 1327067 1348320 1373568 1376410 1435399 1454320 1485696 1502340 1516648 1573040 1602496 1624980 1640456 1651692 1662080 1716960 1733312 1745184 1797760 1857120 1887648 1895810 1926974 2003120 2050570 2064615 2166640 2181480 2202256 2274972 2289280 2326912 2359560 2403744 2460684 2476160 2493120 2516864 2599968 2654134 2696640 2752820 2843715 2870798 2890461 2908640 3004680 3033296 3075855 3146080 3204992 3249960 3280912 3303384 3433920 3466624 3490368 3714240 3775296 3791620 3853948 3981201 4006240 4101140 4129230 4306197 4333280 4362960 4404512 4549944 4719120 4807488 4817435 4921368 4986240 5199936 5308268 5393280 5505640 5687430 5741596 5780922 5817280 6009360 6066592 6151710 6292160 6499920 6561824 6606768 6635335 6867840 6980736 7176995 7428480 7550592 7583240 7707896 7962402 8012480 8202280 8258460 8612394 8666560 8725920 8809024 9099888 9438240 9614976 9634870 9842736 10047793 10399872 10616536 11011280 11374860 11483192 11561844 11634560 12018720 12133184 12303420 12584320 12999840 13123648 13213536 13270670 14353990 14452305 15166480 15415792 15924804 16024960 16404560 16516920 17224788 17333120 17451840 17618048 18199776 18876480 19269740 19685472 19906005 20095586 21233072 21530985 22022560 22749720 22966384 23123688 24037440 24266368 24606840 25999680 26247296 26427072 26541340 28707980 28904610 30143379 30332960 30831584 31849608 32809120 33033840 34449576 34903680 36399552 37752960 38539480 39370944 39812010 40191172 42466144 43061970 44045120 45499440 45932768 46247376 48074880 49213680 50238965 51999360 52854144 53082680 57415960 57809220 60286758 60665920 61663168 63699216 65618240 66067680 68899152 70334551 72799104 77078960 78741888 79624020 80382344 84932288 86123940 88090240 90998880 91865536 92494752 98427360 100477930 106165360 114831920 115618440 120573516 121331840 123326336 127398432 131236480 132135360 137798304 140669102 150716895 154157920 159248040 160764688 169864576 172247880 181997760 183731072 184989504 196854720 200955860 211003653 212330720 229663840 231236880 241147032 254796864 264270720 275596608 281338204 301433790 308315840 318496080 321529376 344495760 351672755 363995520 369979008 393709440 401911720 422007306 424661440 459327680 462473760 482294064 509593728 551193216 562676408 602867580 616631680 636992160 643058752 688991520 703345510 803823440 844014612 849322880 918655360 924947520 964588128 1055018265 1125352816 1205735160 1273984320 1286117504 1377983040 1406691020 1607646880 1688029224 1849895040 1929176256 2110036530 2250705632 2411470320 2547968640 2755966080 2813382040 3215293760 3376058448 3858352512 4220073060 4501411264 4822940640 5626764080 6430587520 6752116896 8440146120 9002822528 9645881280 11253528160 13504233792 16880292240 19291762560 22507056320 27008467584 33760584480 45014112640 67521168960 135042337920
- Sum of all divisors σ(n): 518638176000
- Sum of proper divisors (its aliquot sum) s(n): 383595838080
- 135042337920 is an abundant number, because the sum of its proper divisors (383595838080) is greater than itself. Its abundance is 248553500160
Bases of 135042337920
- Binary: 11111011100010010011010001100100000002
- Hexadecimal: 0x1F71268C80
- Base-36: 1Q1CPYTC
Squares and roots of 135042337920
- 135042337920 squared (1350423379202) is 18236433030899469926400
- 135042337920 cubed (1350423379203) is 2462690551814176019349786329088000
-
The
square root of 135042337920 is 367481.0715125339 -
The
cube root of 135042337920 is 5130.4640567555
Scales and comparisons
How big is 135042337920?- 135,042,337,920 seconds is equal to 4,293 years, 48 weeks, 2 days, 32 minutes.
-
To count from 1 to 135,042,337,920 would take you about eight thousand, five hundred eighty-seven 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 135042337920 cubic inches would be around 427.5 feet tall.
Recreational maths with 135042337920
- 135042337920 backwards is 029733240531
- The number of decimal digits it has is: 12
- The sum of 135042337920's digits is 39
- More coming soon!
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Numbermatics. (2024). Number 135042337920 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/135042337920/
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