138980332400
138,980,332,400 is an even composite number composed of six prime numbers multiplied together.
138980332400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138980332400:
24 × 52 × 7 × 13 × 372 × 2789
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 37 × 37 × 2789)See below for interesting mathematical facts about the number 138980332400 from the Numbermatics database.
Names of 138980332400
- Cardinal: 138980332400 can be written as One hundred thirty-eight billion, nine hundred eighty million, three hundred thirty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.389803324 × 1011
Factors of 138980332400
Divisors of 138980332400
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 37 40 50 52 56 65 70 74 80 91 100 104 112 130 140 148 175 182 185 200 208 259 260 280 296 325 350 364 370 400 455 481 518 520 560 592 650 700 728 740 910 925 962 1036 1040 1295 1300 1369 1400 1456 1480 1820 1850 1924 2072 2275 2405 2590 2600 2738 2789 2800 2960 3367 3640 3700 3848 4144 4550 4810 5180 5200 5476 5578 6475 6734 6845 7280 7400 7696 9100 9583 9620 10360 10952 11156 12025 12950 13468 13690 13945 14800 16835 17797 18200 19166 19240 19523 20720 21904 22312 24050 25900 26936 27380 27890 33670 34225 35594 36257 36400 38332 38480 39046 44624 47915 48100 51800 53872 54760 55780 67340 68450 69725 71188 72514 76664 78092 84175 88985 95830 96200 97615 103193 103600 109520 111560 124579 134680 136900 139450 142376 145028 153328 156184 168350 177970 181285 191660 192400 195230 206386 223120 239575 249158 253799 269360 273800 278900 284752 290056 312368 336700 355940 362570 383320 390460 412772 444925 479150 488075 498316 507598 515965 547600 557800 580112 622895 673400 711880 722351 725140 766640 780920 825544 889850 906425 958300 976150 996632 1015196 1031930 1115600 1245790 1268995 1341509 1346800 1423760 1444702 1450280 1561840 1651088 1779700 1812850 1916600 1952300 1993264 2030392 2063860 2491580 2537990 2579825 2683018 2889404 2900560 3114475 3559400 3611755 3625700 3818141 3833200 3904600 4060784 4127720 4983160 5075980 5159650 5366036 5778808 6228950 6344975 6707545 7118800 7223510 7251400 7636282 7809200 8255440 9390563 9966320 10151960 10319300 10732072 11557616 12457900 12689950 13415090 14447020 14502800 15272564 18058775 18781126 19090705 20303920 20638600 21464144 24915800 25379900 26726987 26830180 28894040 30545128 33537725 36117550 37562252 38181410 41277200 46952815 49635833 49831600 50759800 53453974 53660360 57788080 61090256 67075450 72235100 75124504 76362820 93905630 95453525 99271666 101519600 106907948 107320720 133634935 134150900 144470200 150249008 152725640 187811260 190907050 198543332 213815896 234764075 248179165 267269870 268301800 288940400 305451280 347450831 375622520 381814100 397086664 427631792 469528150 496358330 534539740 536603600 668174675 694901662 751245040 763628200 794173328 939056300 992716660 1069079480 1240895825 1336349350 1389803324 1527256400 1737254155 1878112600 1985433320 2138158960 2481791650 2672698700 2779606648 3474508310 3756225200 3970866640 4963583300 5345397400 5559213296 6949016620 8686270775 9927166600 10690794800 13898033240 17372541550 19854333200 27796066480 34745083100 69490166200 138980332400
- Sum of all divisors σ(n): 422512644960
- Sum of proper divisors (its aliquot sum) s(n): 283532312560
- 138980332400 is an abundant number, because the sum of its proper divisors (283532312560) is greater than itself. Its abundance is 144551980160
Bases of 138980332400
- Binary: 100000010110111101111110010011011100002
- Hexadecimal: 0x205BDF9370
- Base-36: 1RUHAUSW
Squares and roots of 138980332400
- 138980332400 squared (1389803324002) is 19315532794014489760000
- 138980332400 cubed (1389803324003) is 2684479168195234517261196224000000
-
The
square root of 138980332400 is 372800.6604071403 -
The
cube root of 138980332400 is 5179.8571389171
Scales and comparisons
How big is 138980332400?- 138,980,332,400 seconds is equal to 4,419 years, 7 weeks, 3 days, 15 hours, 53 minutes, 20 seconds.
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To count from 1 to 138,980,332,400 would take you about eight thousand, eight hundred thirty-eight 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 138980332400 cubic inches would be around 431.7 feet tall.
Recreational maths with 138980332400
- 138980332400 backwards is 004233089831
- The number of decimal digits it has is: 12
- The sum of 138980332400's digits is 41
- More coming soon!
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