138207523866960
138,207,523,866,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138207523866960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
138207523866960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138207523866960:
24 × 3 × 5 × 97 × 131 × 349 × 129853
(2 × 2 × 2 × 2 × 3 × 5 × 97 × 131 × 349 × 129853)See below for interesting mathematical facts about the number 138207523866960 from the Numbermatics database.
Names of 138207523866960
- Cardinal: 138207523866960 can be written as One hundred thirty-eight trillion, two hundred seven billion, five hundred twenty-three million, eight hundred sixty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3820752386696 × 1014
Factors of 138207523866960
Divisors of 138207523866960
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 131 194 240 262 291 349 388 393 485 524 582 655 698 776 786 970 1047 1048 1164 1310 1396 1455 1552 1572 1745 1940 1965 2094 2096 2328 2620 2792 2910 3144 3490 3880 3930 4188 4656 5235 5240 5584 5820 6288 6980 7760 7860 8376 10470 10480 11640 12707 13960 15720 16752 20940 23280 25414 27920 31440 33853 38121 41880 45719 50828 63535 67706 76242 83760 91438 101559 101656 127070 129853 135412 137157 152484 169265 182876 190605 203118 203312 228595 254140 259706 270824 274314 304968 338530 365752 381210 389559 406236 457190 507795 508280 519412 541648 548628 609936 649265 677060 685785 731504 762420 779118 812472 914380 1015590 1016560 1038824 1097256 1298530 1354120 1371570 1524840 1558236 1624944 1828760 1947795 2031180 2077648 2194512 2597060 2708240 2743140 3049680 3116472 3657520 3895590 4062360 4434743 5194120 5486280 6232944 7791180 8124720 8869486 10388240 10972560 12595741 13304229 15582360 17010743 17738972 22173715 25191482 26608458 31164720 34021486 35477944 37787223 44347430 45318697 50382964 51032229 53216916 62978705 66521145 68042972 70955888 75574446 85053715 88694860 90637394 100765928 102064458 106433832 125957410 133042290 135956091 136085944 151148892 170107430 177389720 181274788 188936115 201531856 204128916 212867664 226593485 251914820 255161145 266084580 271912182 272171888 302297784 340214860 354779440 362549576 377872230 408257832 453186970 503829640 510322290 532169160 543824364 604595568 679780455 680429720 725099152 755744460 816515664 906373940 1007659280 1020644580 1064338320 1087648728 1359560910 1360859440 1511488920 1650042071 1812747880 2041289160 2175297456 2719121820 3022977840 3300084142 3625495760 4082578320 4395913609 4950126213 5438243640 5936749307 6600168284 8250210355 8791827218 9900252426 10876487280 11873498614 13187740827 13200336568 16500420710 17583654436 17810247921 19800504852 21979568045 23746997228 24750631065 26375481654 26400673136 29683746535 33000841420 35167308872 35620495842 39601009704 43959136090 47493994456 49501262130 52750963308 59367493070 65938704135 66001682840 70334617744 71240991684 79202019408 87918272180 89051239605 94987988912 99002524260 105501926616 118734986140 131877408270 132003365680 142481983368 175836544360 178102479210 198005048520 211003853232 237469972280 263754816540 284963966736 351673088720 356204958420 396010097040 474939944560 527509633080 575864682779 712409916840 1055019266160 1151729365558 1424819833680 1727594048337 2303458731116 2879323413895 3455188096674 4606917462232 5758646827790 6910376193348 8637970241685 9213834924464 11517293655580 13820752386696 17275940483370 23034587311160 27641504773392 34551880966740 46069174622320 69103761933480 138207523866960
- Sum of all divisors σ(n): 437417665977600
- Sum of proper divisors (its aliquot sum) s(n): 299210142110640
- 138207523866960 is an abundant number, because the sum of its proper divisors (299210142110640) is greater than itself. Its abundance is 161002618243680
Bases of 138207523866960
- Binary: 111110110110010111100100101110110001001010100002
- Hexadecimal: 0x7DB2F25D8950
- Base-36: 1CZNNRAQ1C
Squares and roots of 138207523866960
- 138207523866960 squared (1382075238669602) is 19101319653436318031779641600
- 138207523866960 cubed (1382075238669603) is 2639946091892732040155649828195434881536000
-
The
square root of 138207523866960 is 11756169.6086335875 -
The
cube root of 138207523866960 is 51702.3831864941
Scales and comparisons
How big is 138207523866960?- 138,207,523,866,960 seconds is equal to 4,394,571 years, 39 weeks, 1 day, 19 hours, 56 minutes.
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To count from 1 to 138,207,523,866,960 would take you about ten million, nine hundred eighty-six thousand, four hundred twenty-nine 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 138207523866960 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138207523866960
- 138207523866960 backwards is 069668325702831
- The number of decimal digits it has is: 15
- The sum of 138207523866960's digits is 66
- More coming soon!
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