138728432700
138,728,432,700 is an even composite number composed of seven prime numbers multiplied together.
138728432700 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138728432700:
22 × 35 × 52 × 11 × 132 × 37 × 83
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 37 × 83)See below for interesting mathematical facts about the number 138728432700 from the Numbermatics database.
Names of 138728432700
- Cardinal: 138728432700 can be written as One hundred thirty-eight billion, seven hundred twenty-eight million, four hundred thirty-two thousand, seven hundred.
Scientific notation
- Scientific notation: 1.387284327 × 1011
Factors of 138728432700
Divisors of 138728432700
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 25 26 27 30 33 36 37 39 44 45 50 52 54 55 60 65 66 74 75 78 81 83 90 99 100 108 110 111 117 130 132 135 143 148 150 156 162 165 166 169 180 185 195 198 220 222 225 234 243 249 260 270 275 286 297 300 324 325 330 332 333 338 351 370 390 396 405 407 415 429 444 450 468 481 486 495 498 507 540 550 555 572 585 594 650 660 666 675 676 702 715 740 747 780 810 814 825 830 845 858 891 900 913 925 962 972 975 990 996 999 1014 1053 1079 1100 1110 1170 1188 1215 1221 1245 1287 1300 1332 1350 1404 1430 1443 1485 1494 1521 1620 1628 1650 1660 1665 1690 1716 1755 1782 1826 1850 1859 1924 1950 1980 1998 2025 2028 2035 2075 2106 2145 2158 2220 2241 2340 2405 2430 2442 2475 2490 2535 2574 2673 2700 2739 2775 2860 2886 2925 2970 2988 2997 3042 3071 3159 3237 3300 3330 3380 3510 3564 3575 3652 3663 3700 3718 3735 3861 3900 3996 4050 4070 4150 4212 4225 4290 4316 4329 4455 4482 4563 4565 4810 4860 4884 4950 4980 4995 5070 5148 5265 5291 5346 5395 5478 5550 5577 5772 5850 5940 5994 6075 6084 6105 6142 6225 6253 6318 6435 6474 6660 6723 7020 7150 7215 7326 7425 7436 7470 7605 7722 8100 8140 8217 8300 8325 8450 8580 8658 8775 8910 8964 8991 9126 9130 9213 9295 9620 9711 9900 9990 10140 10175 10530 10582 10692 10725 10790 10956 10989 11100 11154 11205 11583 11700 11869 11988 12025 12150 12210 12284 12450 12506 12636 12675 12870 12948 12987 13365 13446 13689 13695 14027 14300 14430 14652 14850 14940 14985 15210 15355 15444 15795 15873 16185 16434 16650 16731 16900 17316 17550 17820 17982 18252 18260 18315 18426 18590 18675 18759 19305 19422 19980 20169 20350 21060 21164 21450 21580 21645 21978 22275 22308 22410 22815 22825 23166 23738 24050 24300 24420 24651 24900 24975 25012 25350 25740 25974 26325 26455 26730 26892 26975 27378 27390 27639 27885 28054 28860 29133 29700 29970 30420 30525 30710 31265 31590 31746 32175 32370 32868 32967 33300 33462 33615 33781 34749 35100 35607 35964 36075 36630 36852 37180 37350 37518 38025 38610 38844 38961 39923 40338 40700 41067 41085 42081 42900 43290 43956 44550 44820 44955 45630 45650 46065 46332 46475 47476 47619 48100 48555 49302 49950 50193 50700 51948 52650 52910 53460 53950 54756 54780 54945 55278 55770 56025 56108 56277 57915 58266 59345 59940 61050 61420 62530 63180 63492 64350 64740 64935 65934 66825 66924 67230 67562 68445 68475 68783 69498 70135 71214 72150 73260 73953 74700 74925 75036 76050 76775 77220 77922 78975 79365 79846 80676 80925 82134 82170 82917 83655 84162 86580 87399 89100 89910 91260 91300 91575 92130 92950 93795 95238 96525 97110 98604 98901 99900 100386 100845 101343 105300 105820 106821 107900 108225 109890 110556 111540 112050 112554 114075 115830 116532 116883 118690 119769 122100 123255 125060 126243 128700 129870 131868 132275 133650 134460 135124 136890 136950 137566 138195 138996 139425 140270 142428 142857 144300 145665 147906 149850 150579 152100 153550 154297 155844 156325 157950 158730 159692 161850 164268 164340 164835 165834 167310 168075 168324 168831 168905 173745 174798 178035 179820 183150 184260 185900 187590 190476 193050 194220 194805 197802 199615 200772 201690 202686 205335 205425 206349 210405 213642 216450 219780 221859 224100 224775 225108 228150 230325 231660 233766 237380 238095 239538 242775 246510 248751 250965 252486 259740 262197 264550 267300 273780 273900 274725 275132 276390 278850 280540 281385 285714 289575 291330 295812 296725 299700 301158 304029 307100 308594 312650 315900 317460 320463 323700 324675 329670 331668 334620 336150 337662 337810 342225 343915 347490 349596 350675 356070 359307 366300 369765 375180 378729 386100 389610 395604 396825 399230 403380 405372 410670 410850 412698 414585 418275 420810 427284 428571 432900 436995 439153 443718 449550 451737 456300 460650 462891 467532 468975 476190 479076 485550 493020 494505 497502 501930 504225 504972 506493 506715 518999 524394 529100 534105 549450 552780 557700 562770 571428 579150 582660 584415 593450 598845 602316 608058 616275 617188 619047 625300 631215 640926 649350 659340 672300 675324 675620 684450 687830 690975 694980 701350 712140 714285 718614 728325 739530 746253 752895 757458 771485 779220 793650 798460 821340 821700 824175 825396 829170 836550 841620 844155 844525 857142 868725 873990 878306 887436 890175 899100 903474 912087 921300 925782 937950 952380 961389 971100 974025 989010 995004 998075 1003860 1008450 1012986 1013430 1026675 1031745 1037998 1048788 1052025 1068210 1077921 1098900 1109295 1125540 1136187 1158300 1168830 1186900 1190475 1197690 1216116 1232550 1238094 1243755 1254825 1262430 1281852 1285713 1298700 1310985 1317459 1368900 1375660 1381950 1388673 1402700 1406925 1428570 1437228 1456650 1479060 1492506 1505790 1514916 1519479 1520145 1542970 1556997 1587300 1602315 1648350 1658340 1673100 1688310 1689050 1714284 1719575 1737450 1747980 1756612 1780350 1796535 1806948 1824174 1848825 1851564 1857141 1875900 1893645 1922778 1948050 1978020 1996150 2016900 2025972 2026860 2053350 2063490 2072925 2075996 2104050 2136420 2142855 2155842 2184975 2195765 2218590 2258685 2272374 2314455 2337660 2380950 2395380 2465100 2472525 2476188 2487510 2509650 2524860 2532465 2533575 2571426 2594995 2621970 2634918 2670525 2736261 2763900 2777346 2813850 2857140 2884167 2913300 2922075 2985012 2994225 3011580 3038958 3040290 3085940 3095235 3113994 3156075 3204630 3233763 3296700 3376620 3378100 3408561 3439150 3474900 3560700 3571425 3593070 3648348 3697650 3714282 3731265 3764475 3787290 3845556 3857425 3896100 3952377 3992300 4106700 4126980 4145850 4166019 4208100 4220775 4285710 4311684 4369950 4391530 4437180 4517370 4544748 4560435 4628910 4670991 4761900 4806945 4945050 4975020 5019300 5064930 5067150 5142852 5158725 5189990 5243940 5269836 5341050 5389605 5472522 5546475 5554692 5571423 5627700 5680935 5708989 5768334 5844150 5988450 6077916 6080580 6190470 6218775 6227988 6312150 6409260 6428565 6467526 6554925 6587295 6817122 6878300 6943365 7142850 7186140 7395300 7428564 7462530 7528950 7574580 7597395 7600725 7714850 7784985 7904754 8011575 8208783 8291700 8332038 8441550 8571420 8739900 8783060 8982675 9034740 9120870 9257820 9285705 9341982 9468225 9613890 9701289 9890100 10129860 10134300 10317450 10379980 10682100 10714275 10779210 10945044 10978825 11092950 11142846 11293425 11361870 11417978 11536668 11572275 11688300 11857131 11976900 12380940 12437550 12498057 12624300 12662325 12857130 12935052 12974975 13109850 13174590 13634244 13681305 13886730 14012973 14285700 14420835 14925060 15057900 15194790 15201450 15429700 15476175 15569970 15809508 16023150 16168815 16417566 16664076 16714269 16883100 17042805 17126967 17965350 18241740 18571410 18656325 18683964 18936450 19227780 19402578 19761885 20634900 20830095 21428550 21558420 21957650 22185900 22285692 22586850 22723740 22802175 22835956 23144550 23354955 23714262 24034725 24875100 24996114 25324650 25714260 25949950 26219700 26349180 26948025 27362610 27773460 27857115 28025946 28404675 28544945 28841670 30389580 30402900 30952350 31139940 32046300 32142825 32337630 32835132 32936475 33428538 34085610 34253934 34716825 35571393 35930700 37142820 37312650 37494171 37872900 37986975 38805156 38924925 39523770 41043915 41660190 42038919 42857100 43915300 45173700 45604350 46289100 46428525 46709910 47428524 48069450 48506445 49992228 50649300 51380901 51899900 53896050 54725220 55714230 56051892 56809350 57089890 57683340 59285655 61904700 62490285 64285650 64675260 65872950 66857076 68171220 68406525 68507868 69433650 70064865 71142786 72104175 74625300 74988342 75973950 77849850 79047540 80844075 82087830 83320380 83571345 84077838 85214025 85634835 91208700 92857050 93419820 96138900 97012890 98809425 102761802 104150475 106714179 107792100 111428460 113618700 114179780 116774775 118571310 124980570 126116757 128571300 131745900 136813050 138867300 139285575 140129730 142285572 142724725 144208350 149976684 151947900 154142703 155699700 161688150 164175660 167142690 168155676 170428050 171269670 177856965 185714100 187470855 194025780 197618850 205219575 205523604 208300950 210194595 213428358 233549550 237142620 242532225 249961140 252233514 256904505 273626100 278571150 280259460 285449450 288416700 296428275 308285406 312451425 323376300 334285380 340856100 342539340 350324325 355713930 374941710 395237700 410439150 416601900 417856725 420389190 426856716 428174175 462428109 467099100 485064450 504467028 513809010 533570895 557142300 570898900 592856550 616570812 624902850 630583785 700648650 711427860 749883420 770713515 820878300 835713450 840778380 856348350 889284825 924856218 937354275 970128900 1027618020 1050972975 1067141790 1185713100 1249805700 1261167570 1284522525 1387284327 1401297300 1541427030 1671426900 1712696700 1778569650 1849712436 1874708550 2101945950 2134283580 2312140545 2522335140 2569045050 2667854475 2774568654 3082854060 3152918925 3557139300 3749417100 3853567575 4203891900 4624281090 5138090100 5335708950 5549137308 6305837850 6936421635 7707135150 9248562180 10671417900 11560702725 12611675700 13872843270 15414270300 23121405450 27745686540 34682108175 46242810900 69364216350 138728432700
- Sum of all divisors σ(n): 553676812416
- Sum of proper divisors (its aliquot sum) s(n): 414948379716
- 138728432700 is an abundant number, because the sum of its proper divisors (414948379716) is greater than itself. Its abundance is 276219947016
Bases of 138728432700
- Binary: 100000010011001101101111100100001111002
- Hexadecimal: 0x204CDBE43C
- Base-36: 1RQBBRR0
Squares and roots of 138728432700
- 138728432700 squared (1387284327002) is 19245578039398429290000
- 138728432700 cubed (1387284327003) is 2669908877811282946243473783000000
-
The
square root of 138728432700 is 372462.6594707179 -
The
cube root of 138728432700 is 5176.7257760253
Scales and comparisons
How big is 138728432700?- 138,728,432,700 seconds is equal to 4,411 years, 7 weeks, 3 hours, 45 minutes.
-
To count from 1 to 138,728,432,700 would take you about eight thousand, eight hundred twenty-two 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 138728432700 cubic inches would be around 431.4 feet tall.
Recreational maths with 138728432700
- 138728432700 backwards is 007234827831
- 138728432700 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138728432700's digits is 45
- More coming soon!
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The information we have on file for 138728432700 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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