138281400400

Names of 138281400400

• Cardinal: 138281400400 can be written as One hundred thirty-eight billion, two hundred eighty-one million, four hundred thousand, four hundred.

Scientific notation

• Scientific notation: 1.382814004 × 10¹¹

Factors of 138281400400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1324

Divisors of 138281400400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 11 13 16 20 22 23 25 26 40 44 46 50 52 55 65 80 88 89 92 100 104 110 115 130 143 176 178 184 200 208 220 230 253 260 275 286 299 325 356 368 400 440 445 460 506 520 550 572 575 598 650 712 715 880 890 920 979 1012 1040 1100 1144 1150 1157 1181 1196 1265 1300 1424 1430 1495 1780 1840 1958 2024 2047 2200 2225 2288 2300 2314 2362 2392 2530 2600 2860 2990 3289 3560 3575 3916 4048 4094 4400 4450 4600 4628 4724 4784 4895 5060 5200 5720 5785 5905 5980 6325 6578 7120 7150 7475 7832 8188 8900 9200 9256 9448 9790 10120 10235 11440 11570 11810 11960 12650 12727 12991 13156 14300 14950 15353 15664 16376 16445 17800 18512 18896 19580 20240 20470 22517 23140 23620 23920 24475 25300 25454 25982 26312 26611 27163 28600 28925 29525 29900 30706 32752 32890 35600 39160 40940 45034 46280 47240 48950 50600 50908 51175 51964 52624 53222 54326 57200 57850 59050 59800 61412 63635 64955 65780 76765 78320 81880 82225 90068 92560 94480 97900 101200 101816 102350 103928 105109 106444 108652 112585 115700 118100 119600 122824 127270 129910 131560 133055 135815 153530 163760 164450 168883 180136 195800 203632 204700 207856 210218 212888 217304 225170 231400 236200 245648 254540 259820 263120 266110 271630 292721 298793 307060 318175 324775 328900 337766 353119 360272 383825 391600 409400 420436 425776 434608 450340 462800 472400 509080 519640 525545 532220 543260 562925 585442 597586 614120 636350 649550 657800 665275 675532 679075 706238 767650 818800 840872 844415 900680 1018160 1039280 1051090 1064440 1086520 1125850 1156199 1170884 1195172 1228240 1272700 1299100 1315600 1330550 1351064 1358150 1366417 1412476 1463605 1493965 1535300 1681744 1688830 1765595 1801360 2102180 2128880 2173040 2251700 2312398 2341768 2390344 2417507 2545400 2598200 2627725 2661100 2702128 2716300 2732834 2824952 2927210 2987930 3070600 3377660 3531190 3884309 4204360 4222075 4503400 4624796 4683536 4780688 4835014 5090800 5196400 5255450 5322200 5432600 5465668 5649904 5780995 5854420 5975860 6141200 6755320 6832085 7062380 7318025 7469825 7768618 8408720 8444150 8827975 9006800 9249592 9670028 10510900 10644400 10865200 10931336 11561990 11708840 11951720 12087535 13510640 13664170 14124760 14636050 14939650 15030587 15537236 16888300 17655950 18499184 19340056 19421545 21021800 21862672 23123980 23417680 23903440 24175070 26592577 27328340 28249520 28904975 29272100 29879300 30061174 31074472 31427591 33776600 34160425 35311900 38680112 38843090 42043600 46247960 48350140 53185154 54656680 57809950 58544200 59758600 60122348 60437675 62148944 62855182 67553200 68320850 70623800 75152935 77686180 92495920 96700280 97107725 106370308 109313360 115619900 117088400 119517200 120244696 120875350 125710364 132962885 136641700 141247600 150305870 155372360 157137955 193400560 194215450 212740616 231239800 240489392 241750700 251420728 265925770 273283400 300611740 310744720 314275910 345703501 375764675 388430900 425481232 462479600 483501400 502841456 531851540 546566800 601223480 628551820 664814425 691407002 751529350 776861800 785689775 967002800 1063703080 1202446960 1257103640 1329628850 1382814004 1503058700 1553723600 1571379550 1728517505 2127406160 2514207280 2659257700 2765628008 3006117400 3142759100 3457035010 5318515400 5531256016 6012234800 6285518200 6914070020 8642587525 10637030800 12571036400 13828140040 17285175050 27656280080 34570350100 69140700200 138281400400
• Sum of all divisors σ(n): 412196117760
• Sum of proper divisors (its aliquot sum) s(n): 273914717360
• 138281400400 is an abundant number, because the sum of its proper divisors (273914717360) is greater than itself. Its abundance is 135633316960

Bases of 138281400400

• Binary: 10000000110010001101101011100001010000₂
• Hexadecimal: 0x203236B850
• Base-36: 1RIX6BF4

Squares and roots of 138281400400

• 138281400400 squared (138281400400²) is 19121745696585120160000
• 138281400400 cubed (138281400400³) is 2644181773016463913527072064000000
• The square root of 138281400400 is 371862.0717416605
• The cube root of 138281400400 is 5171.1593761887

Scales and comparisons

• 138,281,400,400 seconds is equal to 4,396 years, 47 weeks, 6 days, 4 hours, 6 minutes, 40 seconds.
• To count from 1 to 138,281,400,400 would take you about eight thousand, seven hundred ninety-three 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 138281400400 cubic inches would be around 430.9 feet tall.

Recreational maths with 138281400400

• 138281400400 backwards is 004004182831
• The number of decimal digits it has is: 12
• The sum of 138281400400's digits is 31
• More coming soon!