137131365329640
137,131,365,329,640 is an even composite number composed of five prime numbers multiplied together.
137131365329640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137131365329640:
23 × 32 × 5 × 113 × 6593
(2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 659 × 659 × 659)See below for interesting mathematical facts about the number 137131365329640 from the Numbermatics database.
Names of 137131365329640
- Cardinal: 137131365329640 can be written as One hundred thirty-seven trillion, one hundred thirty-one billion, three hundred sixty-five million, three hundred twenty-nine thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3713136532964 × 1014
Factors of 137131365329640
Divisors of 137131365329640
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 659 660 726 792 968 990 1089 1210 1318 1320 1331 1452 1815 1977 1980 2178 2420 2636 2662 2904 3295 3630 3954 3960 3993 4356 4840 5272 5324 5445 5931 6590 6655 7249 7260 7908 7986 8712 9885 10648 10890 11862 11979 13180 13310 14498 14520 15816 15972 19770 19965 21747 21780 23724 23958 26360 26620 28996 29655 31944 36245 39540 39930 43494 43560 47448 47916 53240 57992 59310 59895 65241 72490 79080 79739 79860 86988 95832 108735 118620 119790 130482 144980 159478 159720 173976 217470 237240 239217 239580 260964 289960 318956 326205 398695 434281 434940 478434 479160 521928 637912 652410 717651 797390 868562 869880 877129 956868 1196085 1302843 1304820 1435302 1594780 1737124 1754258 1913736 2171405 2392170 2605686 2609640 2631387 2870604 3189560 3474248 3508516 3588255 3908529 4342810 4385645 4777091 4784340 5211372 5262774 5741208 6514215 7017032 7176510 7817058 7894161 8685620 8771290 9554182 9568680 10422744 10525548 13028430 13156935 14331273 14353020 15634116 15788322 17371240 17542580 19108364 19542645 21051096 23885455 26056860 26313870 28662546 28706040 31268232 31576644 35085160 38216728 39085290 39470805 42993819 47770910 52113720 52548001 52627740 57325092 63153288 71656365 78170580 78941610 85987638 95541820 105096002 105255480 114650184 143312730 156341160 157644003 157883220 171975276 191083640 210192004 214969095 262740005 286191179 286625460 315288006 315766440 343950552 420384008 429938190 472932009 525480010 572382358 573250920 578028011 630576012 788220015 858573537 859876380 945864018 1050960020 1144764716 1156056022 1261152024 1430955895 1576440030 1717147074 1719752760 1734084033 1891728036 2101920040 2289529432 2312112044 2364660045 2575720611 2861911790 2890140055 3148102969 3152880060 3434294148 3468168066 3783456072 4292867685 4624224088 4729320090 5151441222 5202252099 5723823580 5780280110 6296205938 6305760120 6868588296 6936336132 8585735370 8670420165 9444308907 9458640180 10302882444 10404504198 11447647160 11560560220 12592411876 12878603055 13872672264 15740514845 17171470740 17340840330 18888617814 18917280360 20605764888 20809008396 23121120440 25184823752 25757206110 26011260495 28332926721 31481029690 34342941480 34629132659 34681680660 37777235628 41618016792 47221544535 51514412220 52022520990 56665853442 62962059380 69258265318 69363361320 75554471256 94443089070 103028824440 103887397977 104045041980 113331706884 125924118760 138516530636 141664633605 173145663295 188886178140 207774795954 208090083960 226663413768 277033061272 283329267210 311662193931 346291326590 377772356280 380920459249 415549591908 519436989885 566658534420 623324387862 692582653180 761840918498 831099183816 1038873979770 1133317068840 1142761377747 1246648775724 1385165306360 1523681836996 1558310969655 1904602296245 2077747959540 2285522755494 2493297551448 3047363673992 3116621939310 3428284133241 3809204592490 4155495919080 4571045510988 5713806888735 6233243878620 6856568266482 7618409184980 9142091021976 11427613777470 12466487757240 13713136532964 15236818369960 17141420666205 22855227554940 27426273065928 34282841332410 45710455109880 68565682664820 137131365329640
- Sum of all divisors σ(n): 490956148425600
- Sum of proper divisors (its aliquot sum) s(n): 353824783095960
- 137131365329640 is an abundant number, because the sum of its proper divisors (353824783095960) is greater than itself. Its abundance is 216693417766320
Bases of 137131365329640
- Binary: 111110010111000011000100101000101101010111010002
- Hexadecimal: 0x7CB862516AE8
- Base-36: 1CLXA2AGA0
Squares and roots of 137131365329640
- 137131365329640 squared (1371313653296402) is 18805011357171191425862529600
- 137131365329640 cubed (1371313653296403) is 2578756882448271962682736528022228257344000
-
The
square root of 137131365329640 is 11710310.2149191591 -
The
cube root of 137131365329640 is 51567.8391284969
Scales and comparisons
How big is 137131365329640?- 137,131,365,329,640 seconds is equal to 4,360,353 years, 12 weeks, 4 days, 4 hours, 54 minutes.
-
To count from 1 to 137,131,365,329,640 would take you about ten million, nine hundred thousand, eight hundred eighty-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 137131365329640 cubic inches would be around 4297.3 feet tall.
Recreational maths with 137131365329640
- 137131365329640 backwards is 046923563131731
- The number of decimal digits it has is: 15
- The sum of 137131365329640's digits is 54
- More coming soon!
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