13742144640
13,742,144,640 is an even composite number composed of six prime numbers multiplied together.
13742144640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 13742144640:
27 × 33 × 5 × 7 × 103 × 1103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 103 × 1103)See below for interesting mathematical facts about the number 13742144640 from the Numbermatics database.
Names of 13742144640
- Cardinal: 13742144640 can be written as Thirteen billion, seven hundred forty-two million, one hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.374214464 × 1010
Factors of 13742144640
Divisors of 13742144640
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 103 105 108 112 120 126 128 135 140 144 160 168 180 189 192 206 210 216 224 240 252 270 280 288 309 315 320 336 360 378 384 412 420 432 448 480 504 515 540 560 576 618 630 640 672 720 721 756 824 840 864 896 927 945 960 1008 1030 1080 1103 1120 1152 1236 1260 1344 1440 1442 1512 1545 1648 1680 1728 1854 1890 1920 2016 2060 2160 2163 2206 2240 2472 2520 2688 2781 2880 2884 3024 3090 3296 3309 3360 3456 3605 3708 3780 4032 4120 4320 4326 4412 4480 4635 4944 5040 5515 5562 5760 5768 6048 6180 6489 6592 6618 6720 7210 7416 7560 7721 8064 8240 8640 8652 8824 9270 9888 9927 10080 10815 11030 11124 11536 12096 12360 12978 13184 13236 13440 13905 14420 14832 15120 15442 16480 16545 17280 17304 17648 18540 19467 19776 19854 20160 21630 22060 22248 23072 23163 24192 24720 25956 26472 27810 28840 29664 29781 30240 30884 32445 32960 33090 34608 35296 37080 38605 38934 39552 39708 40320 43260 44120 44496 46144 46326 49440 49635 51912 52944 55620 57680 59328 59562 60480 61768 64890 65920 66180 69216 69489 70592 74160 77210 77868 79416 86520 88240 88992 92288 92652 97335 98880 99270 103824 105888 111240 113609 115360 115815 118656 119124 120960 123536 129780 132360 138432 138978 141184 148320 148905 154420 155736 158832 173040 176480 177984 185304 194670 197760 198540 207648 208467 211776 222480 227218 230720 231630 238248 247072 259560 264720 276864 277956 296640 297810 308840 311472 317664 340827 346080 347445 352960 355968 370608 389340 397080 415296 416934 423552 444960 454436 461440 463260 476496 494144 519120 529440 555912 568045 593280 595620 617680 622944 635328 681654 692160 694890 705920 741216 778680 794160 795263 830592 833868 889920 908872 926520 952992 988288 1022481 1038240 1042335 1058880 1111824 1136090 1191240 1235360 1245888 1270656 1363308 1384320 1389780 1482432 1557360 1588320 1590526 1667736 1704135 1779840 1817744 1853040 1905984 2044962 2076480 2084670 2117760 2223648 2272180 2382480 2385789 2470720 2491776 2726616 2779560 2964864 3067443 3114720 3176640 3181052 3335472 3408270 3635488 3706080 3811968 3976315 4089924 4152960 4169340 4447296 4544360 4764960 4771578 4941440 5112405 5453232 5559120 6134886 6229440 6353280 6362104 6670944 6816540 7157367 7270976 7412160 7952630 8179848 8338680 8894592 9088720 9529920 9543156 10224810 10906464 11118240 11928945 12269772 12458880 12724208 13341888 13633080 14314734 14541952 14824320 15337215 15905260 16359696 16677360 18177440 19059840 19086312 20449620 21472101 21812928 22236480 23857890 24539544 25448416 26683776 27266160 28629468 30674430 31810520 32719392 33354720 35786835 36354880 38172624 40899240 42944202 43625856 44472960 47715780 49079088 50896832 54532320 57258936 61348860 63621040 65438784 66709440 71573670 72709760 76345248 81798480 85888404 95431560 98158176 101793664 107360505 109064640 114517872 122697720 127242080 130877568 133418880 143147340 152690496 163596960 171776808 190863120 196316352 214721010 218129280 229035744 245395440 254484160 286294680 305380992 327193920 343553616 381726240 392632704 429442020 458071488 490790880 508968320 572589360 654387840 687107232 763452480 858884040 916142976 981581760 1145178720 1374214464 1526904960 1717768080 1963163520 2290357440 2748428928 3435536160 4580714880 6871072320 13742144640
- Sum of all divisors σ(n): 56213913600
- Sum of proper divisors (its aliquot sum) s(n): 42471768960
- 13742144640 is an abundant number, because the sum of its proper divisors (42471768960) is greater than itself. Its abundance is 28729624320
Bases of 13742144640
- Binary: 11001100110001100001111100100000002
- Hexadecimal: 0x333187C80
- Base-36: 6B9PUO0
Squares and roots of 13742144640
- 13742144640 squared (137421446402) is 188846539306680729600
- 13742144640 cubed (137421446403) is 2595156457915851904463929344000
-
The
square root of 13742144640 is 117226.8938426677 -
The
cube root of 13742144640 is 2395.2536194679
Scales and comparisons
How big is 13742144640?- 13,742,144,640 seconds is equal to 436 years, 49 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 13,742,144,640 would take you about eight hundred seventy-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 13742144640 cubic inches would be around 199.6 feet tall.
Recreational maths with 13742144640
- 13742144640 backwards is 04644124731
- 13742144640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13742144640's digits is 36
- More coming soon!
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