137142493406820
137,142,493,406,820 is an even composite number composed of eight prime numbers multiplied together.
137142493406820 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 137142493406820:
22 × 33 × 5 × 112 × 192 × 31 × 372 × 137
(2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 19 × 19 × 31 × 37 × 37 × 137)See below for interesting mathematical facts about the number 137142493406820 from the Numbermatics database.
Names of 137142493406820
- Cardinal: 137142493406820 can be written as One hundred thirty-seven trillion, one hundred forty-two billion, four hundred ninety-three million, four hundred six thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.3714249340682 × 1014
Factors of 137142493406820
Divisors of 137142493406820
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 27 30 31 33 36 37 38 44 45 54 55 57 60 62 66 74 76 90 93 95 99 108 110 111 114 121 124 132 135 137 148 155 165 171 180 185 186 190 198 209 220 222 228 242 270 274 279 285 297 310 330 333 341 342 361 363 370 372 380 396 407 411 418 444 465 484 495 513 540 548 555 558 570 589 594 605 620 627 660 666 682 684 685 703 722 726 740 814 822 836 837 855 930 990 999 1023 1026 1045 1083 1089 1110 1116 1140 1147 1178 1188 1210 1221 1233 1254 1332 1364 1369 1370 1395 1406 1444 1452 1485 1507 1628 1644 1665 1674 1705 1710 1767 1805 1815 1860 1881 1980 1998 2035 2046 2052 2055 2090 2109 2166 2178 2220 2294 2299 2356 2420 2442 2466 2508 2565 2603 2738 2740 2790 2812 2945 2970 3014 3069 3135 3249 3267 3330 3348 3410 3420 3441 3515 3534 3610 3630 3663 3699 3751 3762 3971 3996 4070 4092 4107 4110 4180 4185 4218 4247 4332 4356 4477 4521 4588 4598 4884 4932 4995 5069 5115 5130 5206 5301 5415 5445 5476 5580 5643 5735 5890 5940 6028 6105 6138 6165 6270 6327 6479 6498 6534 6660 6820 6845 6882 6897 7030 7068 7220 7260 7326 7398 7502 7524 7535 7733 7809 7942 8140 8214 8220 8370 8436 8494 8835 8954 9042 9196 9207 9405 9747 9990 10138 10230 10260 10323 10412 10545 10602 10830 10890 10989 11191 11253 11286 11470 11495 11780 11913 12210 12276 12321 12330 12540 12617 12654 12741 12958 12996 13015 13068 13357 13431 13563 13690 13764 13794 14060 14652 14796 15004 15059 15070 15207 15345 15466 15618 15884 15903 16245 16335 16428 16577 16740 16988 17205 17670 17908 18084 18315 18414 18495 18755 18810 18981 19437 19494 19855 19980 20276 20460 20535 20646 20691 21090 21204 21235 21660 21780 21793 21978 22382 22385 22506 22572 22605 22940 22990 23199 23427 23826 24420 24642 24660 25234 25308 25345 25482 25916 26011 26030 26505 26714 26862 27126 27380 27588 28215 28633 30118 30140 30414 30690 30932 30969 31236 31635 31806 32395 32490 32670 33154 33573 33759 34410 34485 35340 35739 36630 36828 36963 36990 37510 37620 37851 37962 38223 38665 38874 38988 39045 39710 40071 40293 40689 41070 41292 41382 42180 42439 42470 43586 43681 43956 44764 44770 45012 45177 45210 45621 45980 46035 46398 46717 46854 47652 48735 49284 49457 49731 50468 50690 50964 51615 52022 52060 53010 53428 53724 54252 54945 55759 55955 56265 56430 57266 58311 59565 60236 60828 61380 61605 61938 62073 63085 63270 63612 63705 64790 64980 65340 65379 66308 66785 67146 67155 67518 67815 68820 68970 69597 70281 71269 71478 73260 73926 73980 75020 75295 75702 75924 76035 76446 77330 77748 78033 78090 79420 79515 80142 80586 80693 81378 82140 82764 82885 84878 84940 85063 85899 87172 87362 89540 90354 90420 91242 92070 92796 93434 93708 94905 96311 97185 97470 98914 99462 100719 101277 101380 103230 103455 104044 106020 107217 108965 109890 111518 111910 112530 112860 113553 114532 114669 115995 116622 117135 119130 120213 120879 123101 123210 123876 124146 126170 126540 127317 127410 129580 130055 130758 131043 133570 134292 134310 135036 135531 135630 136863 137940 138787 139194 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46567909476 48770445735 49155015558 50052004893 50088565890 52686320940 53466859028 54682014915 55613338770 56159907210 56670451821 58209886845 59653107180 59783127030 61775897931 62967168690 63316017270 65027260980 65618417898 66736006524 66833573785 67029566670 67391888652 68639886590 69263885559 72909353220 73732523337 75560602428 75979220724 77613182460 80200288542 80435480004 81925025930 82367863908 83420008155 84239860815 91003645260 92351847412 94450753035 94974025905 97540891470 98310031116 100104009786 100177131780 100544350005 102959829885 109364029830 111226677540 112319814420 113340903642 115439809265 116419773690 119566254060 120300432813 122887538895 123551795862 125934337380 126632034540 131236835796 133667147570 134059133340 137279773180 138527771118 147465046674 160400577084 163850051860 164046044745 166840016310 168479721630 185327693793 188901506070 189948051810 195081782940 200208019572 200500721355 201088700010 205919659770 207791656677 218728059660 221197570011 226681807284 230879618530 232839547380 240600865626 245775077790 247103591724 250260024465 253967580383 267334295140 277055542236 283352259105 294930093348 308879489655 328092089490 333680032620 336959443260 346319427795 360901298439 368662616685 370655387586 377803012140 379896103620 401001442710 402177400020 411839319540 415583313354 442395140022 461759237060 481201731252 491550155580 500520048930 507935160766 566704518210 601502164065 617758979310 623374970031 656184178980 692638855590 721802596878 737325233370 741310775172 761902741149 802002885420 831166626708 884790280044 926638468965 1001040097860 1015870321532 1038958283385 1105987850055 1133409036420 1203004328130 1235517958620 1246749940062 1269837901915 1385277711180 1443605193756 1474650466740 1523805482298 1804506492195 1853276937930 2077916566770 2211975700110 2285708223447 2406008656260 2493499880124 2539675803830 3047610964596 3116874850155 3609012984390 3706553875860 3809513705745 4155833133540 4423951400220 4571416446894 5079351607660 6233749700310 6857124670341 7218025968780 7619027411490 9142832893788 11428541117235 12467499400620 13714249340682 15238054822980 22857082234470 27428498681364 34285623351705 45714164468940 68571246703410 137142493406820
- Sum of all divisors σ(n): 528943227079680
- Sum of proper divisors (its aliquot sum) s(n): 391800733672860
- 137142493406820 is an abundant number, because the sum of its proper divisors (391800733672860) is greater than itself. Its abundance is 254658240266040
Bases of 137142493406820
- Binary: 111110010111010111110011001101001100110011001002
- Hexadecimal: 0x7CBAF99A6664
- Base-36: 1CM2E3NRL0
Squares and roots of 137142493406820
- 137142493406820 squared (1371424934068202) is 18808063497839667170022512400
- 137142493406820 cubed (1371424934068203) is 2579384724247528462178275614767971694568000
-
The
square root of 137142493406820 is 11710785.3454334991 -
The
cube root of 137142493406820 is 51569.2339841297
Scales and comparisons
How big is 137142493406820?- 137,142,493,406,820 seconds is equal to 4,360,707 years, 4 weeks, 1 day, 9 hours, 27 minutes.
-
To count from 1 to 137,142,493,406,820 would take you about ten million, nine hundred one thousand, seven hundred sixty-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 137142493406820 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137142493406820
- 137142493406820 backwards is 028604394241731
- 137142493406820 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137142493406820's digits is 54
- More coming soon!
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"Number 137142493406820 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 137142493406820 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137142493406820/
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The information we have on file for 137142493406820 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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