138946993920
138,946,993,920 is an even composite number composed of seven prime numbers multiplied together.
138946993920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138946993920:
28 × 33 × 5 × 7 × 192 × 37 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 19 × 19 × 37 × 43)See below for interesting mathematical facts about the number 138946993920 from the Numbermatics database.
Names of 138946993920
- Cardinal: 138946993920 can be written as One hundred thirty-eight billion, nine hundred forty-six million, nine hundred ninety-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3894699392 × 1011
Factors of 138946993920
Divisors of 138946993920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 37 38 40 42 43 45 48 54 56 57 60 63 64 70 72 74 76 80 84 86 90 95 96 105 108 111 112 114 120 126 128 129 133 135 140 144 148 152 160 168 171 172 180 185 189 190 192 210 215 216 222 224 228 240 252 256 258 259 266 270 280 285 288 296 301 304 315 320 333 336 342 344 360 361 370 378 380 384 387 399 420 430 432 444 448 456 480 504 513 516 518 532 540 555 560 570 576 592 602 608 630 640 645 665 666 672 684 688 703 720 722 740 756 760 768 774 777 798 817 840 855 860 864 888 896 903 912 945 960 999 1008 1026 1032 1036 1064 1080 1083 1110 1120 1140 1152 1161 1184 1197 1204 1216 1260 1280 1290 1295 1330 1332 1344 1368 1376 1406 1440 1444 1480 1505 1512 1520 1548 1554 1591 1596 1634 1665 1680 1710 1720 1728 1776 1792 1805 1806 1824 1890 1920 1935 1995 1998 2016 2052 2064 2072 2109 2128 2160 2166 2220 2240 2280 2304 2322 2331 2368 2394 2408 2432 2451 2520 2527 2565 2580 2590 2660 2664 2688 2709 2736 2752 2812 2880 2888 2960 3010 3024 3040 3096 3108 3182 3192 3249 3268 3330 3360 3420 3440 3456 3515 3552 3591 3610 3612 3648 3780 3840 3870 3885 3990 3996 4032 4085 4104 4128 4144 4218 4256 4320 4332 4440 4480 4515 4560 4644 4662 4736 4773 4788 4816 4864 4902 4921 4995 5040 5054 5130 5160 5180 5320 5328 5376 5415 5418 5472 5504 5624 5719 5760 5776 5805 5920 5985 6020 6048 6080 6192 6216 6327 6364 6384 6498 6536 6660 6720 6840 6880 6912 6993 7030 7104 7182 7220 7224 7296 7353 7560 7581 7740 7770 7955 7980 7992 8064 8127 8170 8208 8256 8288 8436 8512 8640 8664 8880 8960 9030 9120 9288 9324 9472 9546 9576 9632 9747 9804 9842 9990 10080 10108 10260 10320 10360 10545 10640 10656 10830 10836 10944 11008 11137 11248 11438 11520 11552 11610 11655 11840 11970 12040 12096 12160 12255 12384 12432 12635 12654 12728 12768 12996 13072 13320 13357 13440 13545 13680 13760 13986 14060 14208 14319 14364 14440 14448 14592 14706 14763 15120 15162 15480 15523 15540 15910 15960 15984 16128 16245 16254 16340 16416 16512 16576 16872 17024 17157 17280 17328 17760 17955 18060 18240 18576 18648 18981 19092 19152 19264 19494 19608 19684 19980 20160 20216 20520 20640 20720 21090 21280 21312 21660 21672 21888 22059 22274 22496 22743 22876 23104 23220 23310 23680 23865 23940 24080 24192 24320 24510 24605 24768 24864 25270 25308 25456 25536 25992 26144 26640 26714 26880 27090 27360 27520 27972 28120 28416 28595 28638 28728 28880 28896 29412 29526 30229 30240 30324 30960 31046 31080 31635 31820 31920 31968 32490 32508 32680 32832 33024 33152 33411 33744 34048 34314 34560 34656 34965 35520 35910 36120 36480 36765 37152 37296 37905 37962 38184 38304 38528 38988 39216 39368 39960 40071 40320 40432 40635 41040 41280 41440 42180 42560 42624 42957 43320 43344 43776 44118 44289 44548 44992 45486 45752 46208 46440 46569 46620 47360 47730 47880 48160 48384 48735 49020 49210 49536 49728 50540 50616 50912 51072 51471 51984 52288 53280 53428 54180 54720 55040 55685 55944 56240 57190 57276 57456 57760 57792 58824 59052 60458 60480 60648 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268237440 269277120 270851840 275688480 289472904 304708320 310149540 312943680 321636560 323132544 330826176 348238080 359036160 361841130 365649984 367584640 375532416 384894720 385963872 403915680 406277760 413532720 417258240 434209356 441101568 457062480 461617920 469415520 482454840 487533312 496239264 514618496 522357120 536474880 538554240 542761695 551376960 578945808 609416640 620299080 625887360 643273120 646265088 661652352 723682260 731299968 735169280 751064832 771927744 807831360 812555520 827065440 868418712 914124960 938831040 964909680 992478528 1029236992 1044714240 1077108480 1085523390 1102753920 1157891616 1218833280 1240598160 1251774720 1286546240 1323304704 1447364520 1462599936 1543855488 1615662720 1654130880 1736837424 1828249920 1877662080 1929819360 1984957056 2171046780 2205507840 2315783232 2437666560 2481196320 2573092480 2894729040 3087710976 3231325440 3308261760 3473674848 3656499840 3755324160 3859638720 3969914112 4342093560 4631566464 4962392640 5146184960 5789458080 6616523520 6947349696 7312999680 7719277440 8684187120 9263132928 9924785280 11578916160 13894699392 15438554880 17368374240 19849570560 23157832320 27789398784 34736748480 46315664640 69473496960 138946993920
- Sum of all divisors σ(n): 625004835840
- Sum of proper divisors (its aliquot sum) s(n): 486057841920
- 138946993920 is an abundant number, because the sum of its proper divisors (486057841920) is greater than itself. Its abundance is 347110848000
Bases of 138946993920
- Binary: 100000010110011110001011011111000000002
- Hexadecimal: 0x2059E2DF00
- Base-36: 1RTXGAO0
Squares and roots of 138946993920
- 138946993920 squared (1389469939202) is 19306267119404516966400
- 138946993920 cubed (1389469939203) is 2682547780057795332950917644288000
-
The
square root of 138946993920 is 372755.9441779567 -
The
cube root of 138946993920 is 5179.4429259357
Scales and comparisons
How big is 138946993920?- 138,946,993,920 seconds is equal to 4,418 years, 4 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,946,993,920 would take you about eight thousand, eight hundred thirty-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 138946993920 cubic inches would be around 431.6 feet tall.
Recreational maths with 138946993920
- 138946993920 backwards is 029399649831
- 138946993920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138946993920's digits is 63
- More coming soon!
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The information we have on file for 138946993920 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!
Keywords: Divisors of 138946993920, math, Factors of 138946993920, curriculum, school, college, exams, university, Prime factorization of 138946993920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, nine hundred forty-six million, nine hundred ninety-three thousand, nine hundred twenty.