138974108400600
138,974,108,400,600 is an even composite number composed of seven prime numbers multiplied together.
138974108400600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138974108400600:
23 × 3 × 52 × 11 × 37 × 83 × 6856621
(2 × 2 × 2 × 3 × 5 × 5 × 11 × 37 × 83 × 6856621)See below for interesting mathematical facts about the number 138974108400600 from the Numbermatics database.
Names of 138974108400600
- Cardinal: 138974108400600 can be written as One hundred thirty-eight trillion, nine hundred seventy-four billion, one hundred eight million, four hundred thousand, six hundred.
Scientific notation
- Scientific notation: 1.389741084006 × 1014
Factors of 138974108400600
Divisors of 138974108400600
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 37 40 44 50 55 60 66 74 75 83 88 100 110 111 120 132 148 150 165 166 185 200 220 222 249 264 275 296 300 330 332 370 407 415 440 444 498 550 555 600 660 664 740 814 825 830 888 913 925 996 1100 1110 1221 1245 1320 1480 1628 1650 1660 1826 1850 1992 2035 2075 2200 2220 2442 2490 2739 2775 3071 3256 3300 3320 3652 3700 4070 4150 4440 4565 4884 4980 5478 5550 6105 6142 6225 6600 7304 7400 8140 8300 9130 9213 9768 9960 10175 10956 11100 12210 12284 12450 13695 15355 16280 16600 18260 18426 20350 21912 22200 22825 24420 24568 24900 27390 30525 30710 33781 36520 36852 40700 45650 46065 48840 49800 54780 61050 61420 67562 68475 73704 76775 81400 91300 92130 101343 109560 122100 122840 135124 136950 153550 168905 182600 184260 202686 230325 244200 270248 273900 307100 337810 368520 405372 460650 506715 547800 614200 675620 810744 844525 921300 1013430 1351240 1689050 1842600 2026860 2533575 3378100 4053720 5067150 6756200 6856621 10134300 13713242 20268600 20569863 27426484 34283105 41139726 54852968 68566210 75422831 82279452 102849315 137132420 150845662 164558904 171415525 205698630 226268493 253694977 274264840 301691324 342831050 377114155 411397260 452536986 507389954 514246575 569099543 603382648 685662100 754228310 761084931 822794520 905073972 1014779908 1028493150 1131342465 1138199086 1268474885 1371324200 1508456620 1522169862 1707298629 1810147944 1885570775 2029559816 2056986300 2262684930 2276398172 2536949770 2790644747 2845497715 3016913240 3044339724 3414597258 3771141550 3805424655 4113972600 4525369860 4552796344 5073899540 5581289494 5656712325 5690995430 6088679448 6260094973 6342374425 6829194516 7542283100 7610849310 8371934241 8536493145 9050739720 10147799080 11162578988 11313424650 11381990860 12520189946 12684748850 13658389032 13953223735 14227488575 15084566200 15221698620 16743868482 17072986290 18780284919 19027123275 21056683091 22325157976 22626849300 22763981720 25040379892 25369497700 27906447470 28454977150 30443397240 31300474865 33487736964 34145972580 37560569838 38054246550 41859671205 42113366182 42682465725 45253698600 50080759784 50738995400 55812894940 56909954300 62600949730 63170049273 66975473928 68291945160 69766118675 75121139676 76108493100 83719342410 84226732364 85364931450 93901424595 105283415455 111625789880 113819908600 125201899460 126340098546 139532237350 150242279352 152216986200 156502374325 167438684820 168453464728 170729862900 187802849190 209298356025 210566830910 231623514001 250403798920 252680197092 279064474700 313004748650 315850246365 334877369640 341459725800 375605698380 418596712050 421133661820 463247028002 469507122975 505360394184 526417077275 558128949400 626009497300 631700492730 694870542003 751211396760 837193424100 842267323640 926494056004 939014245950 1052834154550 1158117570005 1252018994600 1263400985460 1389741084006 1579251231825 1674386848200 1852988112008 1878028491900 2105668309100 2316235140010 2526801970920 2779482168012 3158502463650 3474352710015 3756056983800 4211336618200 4632470280020 5558964336024 5790587850025 6317004927300 6948705420030 9264940560040 11581175700050 12634009854600 13897410840060 17371763550075 23162351400100 27794821680120 34743527100150 46324702800200 69487054200300 138974108400600
- Sum of all divisors σ(n): 488503051303680
- Sum of proper divisors (its aliquot sum) s(n): 349528942903080
- 138974108400600 is an abundant number, because the sum of its proper divisors (349528942903080) is greater than itself. Its abundance is 210554834502480
Bases of 138974108400600
- Binary: 111111001100101011011100101110100111011110110002
- Hexadecimal: 0x7E656E5D3BD8
- Base-36: 1D9FTNXPSO
Squares and roots of 138974108400600
- 138974108400600 squared (1389741084006002) is 19313802805741719490080360000
- 138974108400600 cubed (1389741084006003) is 2684118524752962148500265707045072216000000
-
The
square root of 138974108400600 is 11788728.0230141877 -
The
cube root of 138974108400600 is 51797.7981404573
Scales and comparisons
How big is 138974108400600?- 138,974,108,400,600 seconds is equal to 4,418,946 years, 40 weeks, 1 day, 10 minutes.
-
To count from 1 to 138,974,108,400,600 would take you about eleven million, forty-seven thousand, three hundred sixty-six 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 138974108400600 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138974108400600
- 138974108400600 backwards is 006004801479831
- The number of decimal digits it has is: 15
- The sum of 138974108400600's digits is 51
- More coming soon!
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