135997508400
135,997,508,400 is an even composite number composed of seven prime numbers multiplied together.
135997508400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 135997508400:
24 × 3 × 52 × 13 × 193 × 31 × 41
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 19 × 19 × 31 × 41)See below for interesting mathematical facts about the number 135997508400 from the Numbermatics database.
Names of 135997508400
- Cardinal: 135997508400 can be written as One hundred thirty-five billion, nine hundred ninety-seven million, five hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.359975084 × 1011
Factors of 135997508400
Divisors of 135997508400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 31 38 39 40 41 48 50 52 57 60 62 65 75 76 78 80 82 93 95 100 104 114 120 123 124 130 150 152 155 156 164 186 190 195 200 205 208 228 240 246 247 248 260 285 300 304 310 312 325 328 361 372 380 390 400 403 410 456 465 475 492 494 496 520 533 570 589 600 615 620 624 650 656 722 741 744 760 775 779 780 806 820 912 930 950 975 984 988 1025 1040 1066 1083 1140 1178 1200 1209 1230 1235 1240 1271 1300 1425 1444 1482 1488 1520 1550 1558 1560 1599 1612 1640 1767 1805 1860 1900 1950 1968 1976 2015 2050 2132 2166 2280 2325 2337 2356 2418 2460 2470 2480 2542 2600 2665 2850 2888 2945 2964 3075 3100 3116 3120 3198 3224 3280 3534 3610 3705 3720 3800 3813 3895 3900 3952 4030 4100 4264 4332 4560 4650 4674 4693 4712 4836 4920 4940 5084 5200 5330 5415 5700 5776 5890 5928 6045 6150 6175 6200 6232 6355 6396 6448 6859 7068 7220 7410 7440 7600 7626 7657 7790 7800 7995 8060 8200 8528 8664 8835 9025 9300 9348 9386 9424 9672 9840 9880 10075 10127 10168 10660 10830 11191 11400 11685 11780 11856 12090 12300 12350 12400 12464 12710 12792 13325 13718 14079 14136 14440 14725 14801 14820 15252 15314 15580 15600 15990 16120 16400 16523 17328 17670 18050 18525 18600 18696 18772 19065 19344 19475 19760 20150 20254 20336 20577 21320 21660 22382 22800 22971 23370 23465 23560 24149 24180 24600 24700 25420 25584 26650 27075 27436 28158 28272 28880 29450 29602 29640 30225 30381 30504 30628 31160 31775 31980 32240 33046 33573 34295 35340 36100 37050 37200 37392 37544 38130 38285 38950 39975 40300 40508 41154 42640 43320 44175 44403 44764 45942 46740 46930 47120 48298 48360 49200 49400 49569 50635 50840 53300 54150 54872 55955 56316 58425 58900 59204 59280 60450 60762 61008 61256 62320 63550 63960 66092 67146 68590 70395 70680 72200 72447 74005 74100 75088 76260 76570 77900 79950 80600 81016 82308 82615 86640 88350 88806 89167 89528 91884 93480 93860 95325 96596 96720 98800 99138 101270 101680 102885 106600 108300 109744 111910 112632 114855 116850 117325 117800 118408 120745 120900 121524 122512 127100 127920 132184 134292 137180 140790 141360 144400 144894 145483 148010 148200 151905 152520 153140 155800 159900 161200 162032 164616 165230 167865 171475 176700 177612 178334 179056 183768 186960 187720 190650 191425 192413 193192 198276 202540 205770 212629 213200 216600 222015 223820 225264 229710 233700 234650 235600 236816 241490 241800 243048 247845 253175 254200 264368 267501 268584 274360 279775 281219 281580 289788 290966 296020 296400 303810 305040 306280 311600 313937 319800 329232 330460 335730 342950 351975 353400 355224 356668 362235 367536 370025 375440 381300 382850 384826 386384 396552 405080 411540 413075 425258 433200 436449 444030 445835 447640 458831 459420 467400 469300 482980 483600 486096 495690 506350 508400 514425 535002 537168 548720 559550 562438 563160 574275 577239 579576 581932 592040 603725 607620 612560 627874 637887 639600 660920 671460 685900 703950 706800 710448 713336 724470 727415 740050 759525 762600 765700 769652 793104 810160 823080 826150 839325 843657 850516 872898 888060 891670 895280 917662 918840 934800 938600 941811 962065 965960 991380 1012700 1028850 1063145 1070004 1110075 1119100 1124876 1126320 1148550 1154478 1159152 1163864 1184080 1207450 1215240 1239225 1255748 1275774 1321840 1337505 1342920 1371800 1376493 1406095 1407900 1426672 1448940 1454830 1480100 1519050 1525200 1531400 1539304 1569685 1646160 1652300 1678650 1687314 1701032 1745796 1776120 1783340 1811175 1835324 1837680 1877200 1883622 1924130 1931920 1982760 2025400 2057700 2126290 2140008 2182245 2220150 2229175 2238200 2249752 2294155 2297100 2308956 2327728 2414900 2430480 2478450 2511496 2551548 2675010 2685840 2743600 2752986 2764177 2812190 2815800 2886195 2897880 2909660 2960200 3038100 3062800 3078608 3139370 3189435 3304600 3357300 3374628 3402064 3491592 3552240 3566680 3622350 3637075 3655847 3670648 3767244 3848260 3965520 4050800 4115400 4218285 4252580 4280016 4364490 4440300 4458350 4476400 4499504 4588310 4594200 4617912 4709055 4810325 4829800 4956900 5022992 5103096 5315725 5350020 5505972 5528354 5624380 5631600 5772390 5795760 5819320 5920400 5964803 6076200 6278740 6378870 6609200 6687525 6714600 6749256 6882465 6983184 7030475 7133360 7244700 7274150 7311694 7341296 7534488 7696520 7848425 8230800 8292531 8436570 8505160 8717789 8728980 8880600 8916700 9176620 9188400 9235824 9418110 9620650 9659600 9913800 10206192 10631450 10700040 10911225 10967541 11011944 11056708 11248760 11470775 11544780 11638640 11929606 12152400 12557480 12757740 13375050 13429200 13498512 13764930 13820885 14060950 14430975 14489400 14548300 14623388 15068976 15393040 15696850 15947175 16585062 16873140 17010320 17435578 17457960 17761200 17833400 17894409 18279235 18353240 18836220 19241300 19827600 21091425 21262900 21400080 21822450 21935082 22023888 22113416 22497520 22941550 23089560 23545275 23859212 25114960 25515480 26153367 26750100 27529860 27641770 28121900 28861950 28978800 29096600 29246776 29824015 31393700 31894350 33170124 33746280 34412325 34871156 34915920 35666800 35788818 36558470 36706480 37672440 38482600 41462655 42182850 42525800 43588945 43644900 43870164 44226832 45883100 46179120 47090550 47718424 51030960 52306734 53500200 54837705 55059720 55283540 56243800 57723900 58193200 58493552 59648030 62787400 63788700 66340248 67492560 68824650 69104425 69742312 71577636 73116940 75344880 76965200 82925310 84365700 85051600 87177890 87289800 87740328 89472045 91396175 91766200 94181100 95436848 104613468 107000400 109675410 110119440 110567080 112487600 113331257 115447800 119296060 125574800 127577400 130766835 132680496 137649300 138208850 139484624 143155272 146233880 149120075 165850620 168731400 174355780 174579600 175480656 178944090 182792350 183532400 188362200 207313275 209226936 217944725 219350820 221134160 226662514 230895600 238592120 255154800 261533670 274188525 275298600 276417700 286310544 292467760 298240150 331701240 337462800 339993771 348711560 357888180 365584700 376724400 414626550 418453872 435889450 438701640 447360225 453325028 477184240 523067340 548377050 550597200 552835400 566656285 596480300 653834175 663402480 679987542 697423120 715776360 731169400 829253100 871778900 877403280 894720450 906650056 1046134680 1096754100 1105670800 1133312570 1192960600 1307668350 1359975084 1431552720 1462338800 1658506200 1699968855 1743557800 1789440900 1813300112 2092269360 2193508200 2266625140 2385921200 2615336700 2719950168 2833281425 3317012400 3399937710 3487115600 3578881800 4387016400 4533250280 5230673400 5439900336 5666562850 6799875420 7157763600 8499844275 9066500560 10461346800 11333125700 13599750840 16999688550 22666251400 27199501680 33999377100 45332502800 67998754200 135997508400
- Sum of all divisors σ(n): 523659816960
- Sum of proper divisors (its aliquot sum) s(n): 387662308560
- 135997508400 is an abundant number, because the sum of its proper divisors (387662308560) is greater than itself. Its abundance is 251664800160
Bases of 135997508400
- Binary: 11111101010100001010101001011001100002
- Hexadecimal: 0x1FAA154B30
- Base-36: 1QH5EL2O
Squares and roots of 135997508400
- 135997508400 squared (1359975084002) is 18495322291008070560000
- 135997508400 cubed (1359975084003) is 2515317748632077320451392704000000
-
The
square root of 135997508400 is 368778.4001266885 -
The
cube root of 135997508400 is 5142.5317761971
Scales and comparisons
How big is 135997508400?- 135,997,508,400 seconds is equal to 4,324 years, 15 weeks, 4 days, 5 hours, 40 minutes.
-
To count from 1 to 135,997,508,400 would take you about eight thousand, six hundred forty-eight 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 135997508400 cubic inches would be around 428.5 feet tall.
Recreational maths with 135997508400
- 135997508400 backwards is 004805799531
- The number of decimal digits it has is: 12
- The sum of 135997508400's digits is 51
- More coming soon!
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