138319775440
138,319,775,440 is an even composite number composed of seven prime numbers multiplied together.
138319775440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138319775440:
24 × 5 × 72 × 112 × 23 × 31 × 409
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 11 × 23 × 31 × 409)See below for interesting mathematical facts about the number 138319775440 from the Numbermatics database.
Names of 138319775440
- Cardinal: 138319775440 can be written as One hundred thirty-eight billion, three hundred nineteen million, seven hundred seventy-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3831977544 × 1011
Factors of 138319775440
Divisors of 138319775440
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 28 31 35 40 44 46 49 55 56 62 70 77 80 88 92 98 110 112 115 121 124 140 154 155 161 176 184 196 217 220 230 242 245 248 253 280 308 310 322 341 368 385 392 409 434 440 460 484 490 496 506 539 560 605 616 620 644 682 713 770 784 805 818 847 868 880 920 968 980 1012 1078 1085 1127 1210 1232 1240 1265 1288 1364 1426 1519 1540 1610 1636 1694 1705 1736 1771 1840 1936 1960 2024 2045 2156 2170 2254 2387 2420 2480 2530 2576 2695 2728 2783 2852 2863 3038 3080 3220 3272 3388 3410 3472 3542 3565 3751 3920 4048 4090 4235 4312 4340 4499 4508 4774 4840 4991 5060 5390 5456 5566 5635 5704 5726 5929 6076 6160 6440 6544 6776 6820 7084 7130 7502 7595 7843 8180 8470 8624 8680 8855 8998 9016 9407 9548 9680 9982 10120 10780 11132 11270 11408 11452 11858 11935 12152 12397 12679 12880 13552 13640 13915 14168 14260 14315 15004 15190 15686 16360 16709 16940 17360 17710 17996 18032 18755 18814 19096 19481 19964 20041 20240 21560 22264 22495 22540 22904 23716 23870 24304 24794 24955 25358 26257 27280 27830 28336 28520 28630 29645 30008 30380 31372 31493 32720 33418 33880 34937 35420 35992 37510 37628 38192 38962 39215 39928 40082 43120 44528 44990 45080 45808 47035 47432 47740 49489 49588 49910 50716 52514 54901 55660 57040 57260 59290 60016 60760 61985 62744 62986 63395 65849 66836 67760 69874 70840 71984 75020 75256 77924 78430 79856 80164 83545 86273 88753 89980 90160 94070 94864 95480 97405 98978 99176 99820 100205 101432 103477 105028 109802 111320 114520 118580 121520 123970 125488 125972 126790 131285 131698 133672 136367 139469 139748 141680 150040 150512 155848 156860 157465 160328 167090 172546 174685 177506 179960 183799 188140 190960 194810 197956 198352 199640 200410 202864 206954 210056 219604 220451 222640 229040 237160 247445 247940 251944 253580 262570 263396 267344 272734 274505 278938 279496 291617 300080 311696 313720 314930 320656 329245 334180 345092 346423 349370 355012 359920 367598 376280 384307 389620 395912 399280 400820 413908 420112 431365 439208 440902 443765 460943 474320 494890 495880 503888 507160 517385 525140 526792 545468 549010 557876 558992 583234 603911 621271 627440 629860 658490 668360 681835 690184 692846 697345 698740 710024 724339 735196 752560 768614 779240 791824 801640 827816 862730 878416 881804 887530 918995 921886 976283 989780 991760 1014320 1034770 1050280 1053584 1090936 1098020 1102255 1115752 1138247 1166468 1207822 1242542 1259720 1316980 1336720 1363670 1380368 1385692 1394690 1397480 1420048 1448678 1458085 1470392 1534159 1537228 1558480 1603280 1655632 1725460 1732115 1763608 1775060 1837990 1843772 1921535 1952566 1979560 2041319 2069540 2100560 2181872 2196040 2204510 2231504 2276494 2304715 2332936 2415644 2424961 2485084 2519440 2633960 2727340 2771384 2789380 2794960 2897356 2916170 2940784 3019555 3068318 3074456 3106355 3207787 3450920 3464230 3527216 3550120 3621695 3675980 3687544 3843070 3905132 3959120 4082638 4139080 4227377 4392080 4409020 4552988 4609430 4665872 4831288 4849922 4881415 4970168 5070373 5267920 5454680 5542768 5578760 5691235 5794712 5832340 6039110 6136636 6148912 6212710 6415574 6833981 6901840 6928460 7100240 7243390 7351960 7375088 7670795 7686140 7810264 7967729 8165276 8278160 8454754 8818040 9105976 9218860 9662576 9699844 9762830 9940336 10140746 10206595 10739113 10909360 11157520 11382470 11589424 11664680 12078220 12124805 12273272 12425420 12831148 13667962 13856920 14289233 14486780 14703920 15341590 15372280 15620528 15935458 16038935 16330552 16909508 17636080 18211952 18437720 19399688 19525660 20281492 20413190 21136885 21478226 22454509 22764940 23329360 24156440 24249610 24546544 24850840 25351865 25662296 27335924 27713840 28578466 28973560 30683180 30744560 31870916 32077870 32661104 33819016 34169905 35285657 36875440 38799376 39051320 39838645 40562984 40826380 42273770 42956452 44909018 45529880 48312880 48499220 49701680 50703730 51324592 53695565 54671848 55774103 57156932 57947120 61366360 63741832 64155740 67638032 68339810 70571314 71446165 75173791 78102640 79677290 81125968 81652760 84547540 85912904 89818036 91059760 96998440 101407460 107391130 109343696 111548206 112272545 114313864 122732720 127483664 128311480 136679620 141142628 142892330 150347582 157181563 159354580 163305520 169095080 171825808 176428285 179636072 193996880 202814920 214782260 223096412 224545090 228627728 246999599 256622960 273359240 278870515 282285256 285784660 300695164 314363126 318709160 338190160 352856570 359272144 375868955 405629840 429564520 446192824 449090180 493999198 546718480 557741030 564570512 571569320 601390328 628726252 637418320 705713140 751737910 785907815 859129040 892385648 898180360 987998396 1115482060 1143138640 1202780656 1234997995 1257452504 1411426280 1503475820 1571815630 1728997193 1796360720 1975996792 2230964120 2469995990 2514905008 2822852560 3006951640 3143631260 3457994386 3951993584 4461928240 4939991980 6013903280 6287262520 6915988772 8644985965 9879983960 12574525040 13831977544 17289971930 19759967920 27663955088 34579943860 69159887720 138319775440
- Sum of all divisors σ(n): 444001582080
- Sum of proper divisors (its aliquot sum) s(n): 305681806640
- 138319775440 is an abundant number, because the sum of its proper divisors (305681806640) is greater than itself. Its abundance is 167362031200
Bases of 138319775440
- Binary: 100000001101001000000001000110110100002
- Hexadecimal: 0x20348046D0
- Base-36: 1RJK0TSG
Squares and roots of 138319775440
- 138319775440 squared (1383197754402) is 19132360277772027193600
- 138319775440 cubed (1383197754403) is 2646383777258602824932325405184000
-
The
square root of 138319775440 is 371913.6666485919 -
The
cube root of 138319775440 is 5171.6376885121
Scales and comparisons
How big is 138319775440?- 138,319,775,440 seconds is equal to 4,398 years, 7 weeks, 2 days, 7 hours, 50 minutes, 40 seconds.
-
To count from 1 to 138,319,775,440 would take you about eight thousand, seven hundred ninety-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 138319775440 cubic inches would be around 431 feet tall.
Recreational maths with 138319775440
- 138319775440 backwards is 044577913831
- The number of decimal digits it has is: 12
- The sum of 138319775440's digits is 52
- More coming soon!
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The information we have on file for 138319775440 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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