135748814400

Names of 135748814400

• Cardinal: 135748814400 can be written as One hundred thirty-five billion, seven hundred forty-eight million, eight hundred fourteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.357488144 × 10¹¹

Factors of 135748814400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 173

Divisors of 135748814400

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 45 48 50 58 60 61 64 72 73 75 80 87 90 96 100 116 120 122 144 145 146 150 160 174 180 183 192 200 219 225 232 240 244 261 288 290 292 300 305 320 348 360 365 366 400 435 438 450 464 480 488 522 549 576 580 584 600 610 657 696 720 725 730 732 800 870 876 900 915 928 960 976 1044 1095 1098 1160 1168 1200 1220 1305 1314 1392 1440 1450 1460 1464 1525 1600 1740 1752 1769 1800 1825 1830 1856 1952 2088 2117 2175 2190 2196 2320 2336 2400 2440 2610 2628 2745 2784 2880 2900 2920 2928 3050 3285 3480 3504 3538 3600 3650 3660 3904 4176 4234 4350 4380 4392 4453 4575 4640 4672 4800 4880 5220 5256 5307 5329 5475 5490 5568 5800 5840 5856 6100 6351 6525 6570 6960 7008 7076 7200 7300 7320 8352 8468 8700 8760 8784 8845 8906 9150 9280 9760 10440 10512 10585 10614 10658 10950 10980 11600 11680 11712 12200 12702 13050 13140 13359 13725 13920 14016 14152 14400 14600 14640 15921 15987 16425 16704 16936 17400 17520 17568 17690 17812 18300 19053 19520 20880 21024 21170 21228 21316 21900 21960 22265 23200 23360 24400 25404 26100 26280 26535 26645 26718 27450 27840 28304 29200 29280 31755 31842 31974 32850 33872 34800 35040 35136 35380 35624 36600 38106 40077 41760 42048 42340 42456 42632 43800 43920 44225 44530 46400 47961 48800 50808 52200 52560 52925 53070 53290 53436 54900 56608 58400 58560 63510 63684 63948 65700 66795 67744 69600 70080 70760 71248 73200 76212 79605 79935 80154 83520 84680 84912 85264 87600 87840 88450 89060 95265 95922 97600 101616 104400 105120 105850 106140 106580 106872 109800 111325 113216 116800 127020 127368 127896 129137 131400 132675 133225 133590 135488 139200 141520 142496 146400 152424 154541 158775 159210 159870 160308 169360 169824 170528 175200 175680 176900 178120 190530 191844 200385 203232 208800 210240 211700 212280 213160 213744 219600 222650 239805 254040 254736 255792 258274 262800 265350 266450 267180 283040 284992 292800 304848 309082 317550 318420 319740 320616 325069 333975 338720 339648 341056 350400 353800 356240 381060 383688 387411 398025 399675 400770 406464 417600 423400 424560 426320 427488 439200 445300 463623 476325 479610 508080 509472 511584 516548 525600 530700 532900 534360 566080 609696 618164 635100 636840 639480 641232 645685 650138 667950 677440 707600 712480 762120 767376 772705 774822 796050 799350 801540 846800 849120 852640 854976 878400 890600 927246 952650 959220 975207 1001925 1016160 1018944 1023168 1033096 1051200 1061400 1065800 1068720 1162233 1199025 1219392 1236328 1270200 1273680 1278960 1282464 1291370 1300276 1335900 1390869 1415200 1424960 1524240 1534752 1545410 1549644 1592100 1598700 1603080 1625345 1693600 1698240 1705280 1781200 1854492 1905300 1918440 1937055 1950414 2003850 2032320 2066192 2122800 2131600 2137440 2318115 2324466 2398050 2472656 2540400 2547360 2557920 2564928 2582740 2600552 2671800 2781738 2830400 2925621 3048480 3069504 3090820 3099288 3184200 3197400 3206160 3228425 3250690 3387200 3562400 3708984 3810600 3836880 3863525 3874110 3900828 4007700 4132384 4245600 4263200 4274880 4636230 4648932 4796100 4876035 4945312 5080800 5094720 5115840 5165480 5201104 5343600 5563476 5811165 5851242 6096960 6181640 6198576 6368400 6394800 6412320 6456850 6501380 6954345 7124800 7417968 7621200 7673760 7727050 7748220 7801656 8015400 8126725 8264768 8491200 8526400 9272460 9297864 9427001 9592200 9685275 9752070 9890624 10161600 10330960 10402208 10687200 11126952 11590575 11622330 11702484 12363280 12397152 12736800 12789600 12824640 12913700 13002760 13908690 14628105 14835936 15242400 15347520 15454100 15496440 15603312 16030800 16253450 18544920 18595728 18854002 19184400 19370550 19504140 20661920 20804416 21374400 22253904 23181150 23244660 23404968 24380175 24726560 24794304 25473600 25579200 25827400 26005520 27817380 28281003 29055825 29256210 29671872 30484800 30908200 30992880 31206624 32061600 32506900 34771725 37089840 37191456 37708004 38368800 38741100 39008280 41323840 44507808 46362300 46489320 46809936 47135005 48760350 49453120 51654800 52011040 55634760 56562006 58111650 58512420 61816400 61985760 62413248 64123200 65013800 69543450 73140525 74179680 74382912 75416008 76737600 77482200 78016560 84843009 89015616 92724600 92978640 93619872 94270010 97520700 103309600 104022080 111269520 113124012 116223300 117024840 123632800 123971520 130027600 139086900 141405015 146281050 148359360 150832016 154964400 156033120 169686018 185449200 185957280 187239744 188540020 195041400 206619200 222539040 226248024 232446600 234049680 235675025 247265600 260055200 278173800 282810030 292562100 301664032 309928800 312066240 339372036 370898400 371914560 377080040 390082800 424215045 445078080 452496048 464893200 468099360 471350050 520110400 556347600 565620060 585124200 603328064 619857600 678744072 707025075 741796800 754160080 780165600 848430090 904992096 929786400 936198720 942700100 1112695200 1131240120 1170248400 1357488144 1414050150 1508320160 1560331200 1696860180 1809984192 1859572800 1885400200 2121075225 2225390400 2262480240 2340496800 2714976288 2828100300 3016640320 3393720360 3770800400 4242150450 4524960480 4680993600 5429952576 5656200600 6787440720 7541600800 8484300900 9049920960 11312401200 13574881440 15083201600 16968601800 22624802400 27149762880 33937203600 45249604800 67874407200 135748814400
• Sum of all divisors σ(n): 514347553980
• Sum of proper divisors (its aliquot sum) s(n): 378598739580
• 135748814400 is an abundant number, because the sum of its proper divisors (378598739580) is greater than itself. Its abundance is 242849925180

Bases of 135748814400

• Binary: 1111110011011010000101000011001000000₂
• Hexadecimal: 0x1F9B428640
• Base-36: 1QD1C7K0

Squares and roots of 135748814400

• 135748814400 squared (135748814400²) is 18427740611005647360000
• 135748814400 cubed (135748814400³) is 2501543940014748220824489984000000
• The square root of 135748814400 is 368441.0596011253
• The cube root of 135748814400 is 5139.3952060839

Scales and comparisons

• 135,748,814,400 seconds is equal to 4,316 years, 20 weeks, 2 days, 20 hours.
• To count from 1 to 135,748,814,400 would take you about eight thousand, six hundred thirty-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 135748814400 cubic inches would be around 428.3 feet tall.

Recreational maths with 135748814400

• 135748814400 backwards is 004418847531
• 135748814400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135748814400's digits is 45
• More coming soon!