135825790100
135,825,790,100 is an even composite number composed of seven prime numbers multiplied together.
135825790100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135825790100:
22 × 52 × 72 × 11 × 133 × 31 × 37
(2 × 2 × 5 × 5 × 7 × 7 × 11 × 13 × 13 × 13 × 31 × 37)See below for interesting mathematical facts about the number 135825790100 from the Numbermatics database.
Names of 135825790100
- Cardinal: 135825790100 can be written as One hundred thirty-five billion, eight hundred twenty-five million, seven hundred ninety thousand, one hundred.
Scientific notation
- Scientific notation: 1.358257901 × 1011
Factors of 135825790100
Divisors of 135825790100
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 25 26 28 31 35 37 44 49 50 52 55 62 65 70 74 77 91 98 100 110 124 130 140 143 148 154 155 169 175 182 185 196 217 220 245 259 260 275 286 308 310 325 338 341 350 364 370 385 403 407 434 455 481 490 518 539 550 572 620 637 650 676 682 700 715 740 770 775 806 814 845 868 910 925 962 980 1001 1036 1078 1085 1100 1147 1183 1225 1274 1295 1300 1364 1430 1519 1540 1550 1612 1628 1690 1705 1813 1820 1850 1859 1924 1925 2002 2015 2035 2156 2170 2197 2275 2294 2366 2387 2405 2450 2548 2590 2695 2821 2849 2860 3038 3100 3185 3367 3380 3410 3575 3626 3700 3718 3850 4004 4030 4070 4225 4340 4394 4433 4550 4588 4732 4774 4810 4900 5005 5180 5239 5291 5390 5425 5642 5698 5735 5915 6076 6253 6370 6475 6734 6820 7007 7150 7252 7436 7595 7700 8029 8060 8140 8281 8450 8525 8788 8866 9065 9100 9295 9548 9620 10010 10075 10175 10478 10582 10780 10850 10985 11284 11396 11470 11830 11935 12025 12506 12617 12740 12950 13013 13468 13475 14014 14105 14245 14300 14911 15190 15379 15925 16058 16562 16709 16835 16900 17050 17732 18130 18590 19747 19943 20020 20150 20350 20956 21164 21700 21970 22165 22940 23569 23660 23870 24050 24167 25012 25025 25234 25900 26026 26195 26455 26950 28028 28210 28490 28675 29575 29822 30380 30758 31031 31265 31850 32116 33124 33418 33670 34100 35035 36260 36673 37037 37180 37975 39494 39886 40145 40300 40700 41405 43771 43940 44330 45325 46475 47138 47740 48100 48334 50050 50468 52052 52390 52910 53900 54925 56203 56420 56980 57350 57629 59150 59644 59675 61516 62062 62530 63085 63700 65065 66836 67340 68107 68783 70070 70525 71225 73346 74074 74555 75950 76895 78988 79772 80290 81289 82810 83545 84175 87542 88319 88660 90650 91091 92950 94276 96668 98735 99715 100100 104377 104780 105820 107653 109850 110825 112406 114700 115258 117845 118300 119350 120835 124124 125060 126170 130130 130975 132275 136214 137566 140140 141050 142450 146692 148148 149110 151900 153790 155155 156325 160580 162578 164021 165620 167090 168350 169169 175084 175175 176638 181300 182182 183365 185185 185900 193843 197470 199430 200725 207025 208754 215306 217217 218855 219700 221650 224812 230516 235690 238700 241670 252340 256711 259259 260260 261950 264550 272428 275132 281015 282100 284900 288145 298220 306397 307580 310310 312650 315425 325156 325325 328042 334180 336700 338338 340535 343915 350350 353276 364364 366730 370370 372775 384475 387686 394940 398860 401450 403403 406445 414050 417508 417725 430612 434434 437710 441595 443300 455455 471380 476749 481481 483340 493675 498575 513422 518518 521885 523900 529100 538265 562030 569023 576290 589225 604175 612794 618233 620620 625300 630850 650650 656084 676676 681070 687830 700700 730639 733460 740740 745550 749177 768950 775372 775775 802900 806806 812890 820105 828100 835450 845845 868868 875420 883190 894179 910910 916825 925925 953498 962962 969215 987350 997150 1026844 1037036 1043770 1076530 1086085 1094275 1124060 1138046 1148147 1152580 1178450 1184183 1208350 1225588 1236466 1261700 1283555 1296295 1301300 1356901 1362140 1375660 1405075 1440725 1461278 1491100 1498354 1531985 1537900 1551550 1613612 1625780 1640210 1670900 1691690 1702675 1719575 1766380 1788358 1821820 1833650 1851850 1906996 1925924 1938430 1974700 1994300 2017015 2032225 2087540 2132273 2153060 2172170 2188550 2207975 2276092 2277275 2296294 2356900 2368366 2383745 2407405 2416700 2472932 2519959 2567110 2592590 2609425 2691325 2713802 2810150 2823821 2845115 2881450 2922556 2996708 3063970 3091165 3103100 3280420 3337243 3370367 3383380 3405350 3439150 3576716 3653195 3667300 3703700 3745885 3876860 3983161 4034030 4064450 4100525 4229225 4264546 4344340 4377100 4415950 4470895 4554550 4592588 4736732 4767490 4814810 4846075 5039918 5134220 5185180 5218850 5244239 5382650 5427604 5430425 5620300 5647642 5690230 5740735 5762900 5920915 6127940 6182330 6259253 6417775 6481475 6674486 6740734 6784505 6810700 6878300 7306390 7491770 7659925 7966322 8037029 8068060 8128900 8201050 8458450 8529092 8831900 8941790 9109100 9498307 9534980 9629620 9692150 10079836 10085075 10437700 10488478 10661365 10765300 10860850 11295284 11380460 11481470 11841830 11918725 12037025 12364660 12518506 12599795 12835550 12962950 13348972 13481468 13569010 14119105 14225575 14612780 14925911 14983540 15319850 15455825 15932644 16074058 16402100 16686215 16851835 16916900 17639713 17883580 18265975 18729425 18996614 19384300 19915805 20170150 20976956 21322730 21721700 22354475 22962940 23683660 23837450 24074050 25037012 25199590 25671100 25925900 26221195 27138020 27719549 28238210 28451150 28703675 29604575 29851822 30639700 30911650 31296265 32148116 33372430 33703670 33922525 35279426 36531950 36709673 37458850 37993228 39831610 40185145 40340300 42645460 43814771 44708950 47491535 47674900 48148100 50399180 52442390 53306825 55439098 56476420 56902300 57407350 59209150 59703644 61823300 62592530 62998975 66744860 67407340 67845050 70558852 70595525 73063900 73419346 74629555 74917700 79663220 80370290 83431075 84259175 87629542 88198565 89417900 94983070 99579025 104481377 104884780 106613650 110878196 114814700 118418300 123477991 125185060 125997950 131105975 135690100 138597745 141191050 146838692 149259110 156481325 160740580 166862150 168518350 175259084 176397130 183548365 189966140 194036843 199158050 200925725 208962754 213227300 219073855 237457675 246955982 251995900 262211950 277195490 282382100 298518220 312962650 333724300 337036700 352794260 367096730 373147775 388073686 398316100 401851450 417925508 438147710 440992825 474915350 493911964 522406885 524423900 554390980 617389955 625925300 692988725 734193460 746295550 776147372 803702900 876295420 881985650 917741825 949830700 970184215 1044813770 1095369275 1234779910 1358257901 1385977450 1492591100 1763971300 1835483650 1940368430 2089627540 2190738550 2469559820 2612034425 2716515802 2771954900 3086949775 3670967300 3880736860 4381477100 4850921075 5224068850 5433031604 6173899550 6791289505 9701842150 10448137700 12347799100 13582579010 19403684300 27165158020 33956447525 67912895050 135825790100
- Sum of all divisors σ(n): 429562506240
- Sum of proper divisors (its aliquot sum) s(n): 293736716140
- 135825790100 is an abundant number, because the sum of its proper divisors (293736716140) is greater than itself. Its abundance is 157910926040
Bases of 135825790100
- Binary: 11111100111111101100100010100100101002
- Hexadecimal: 0x1F9FD91494
- Base-36: 1QEB62DW
Squares and roots of 135825790100
- 135825790100 squared (1358257901002) is 18448645256289258010000
- 135825790100 cubed (1358257901003) is 2505801818210105463351003701000000
-
The
square root of 135825790100 is 368545.5061454421 -
The
cube root of 135825790100 is 5140.3664454839
Scales and comparisons
How big is 135825790100?- 135,825,790,100 seconds is equal to 4,318 years, 43 weeks, 4 days, 18 hours, 8 minutes, 20 seconds.
-
To count from 1 to 135,825,790,100 would take you about eight thousand, six hundred thirty-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 135825790100 cubic inches would be around 428.4 feet tall.
Recreational maths with 135825790100
- 135825790100 backwards is 001097528531
- The number of decimal digits it has is: 12
- The sum of 135825790100's digits is 41
- More coming soon!
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