135807974400

Names of 135807974400

• Cardinal: 135807974400 can be written as One hundred thirty-five billion, eight hundred seven million, nine hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.358079744 × 10¹¹

Factors of 135807974400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 358

Divisors of 135807974400

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 31 32 35 40 42 48 50 56 58 60 62 64 70 75 80 84 87 93 96 100 105 112 116 120 124 128 140 145 150 155 160 168 174 175 186 192 200 203 210 217 224 232 240 248 256 280 281 290 300 310 320 336 348 350 372 384 400 406 420 434 435 448 464 465 480 496 512 525 560 562 580 600 609 620 640 651 672 696 700 725 744 768 775 800 812 840 843 868 870 896 899 928 930 960 992 1015 1024 1050 1085 1120 1124 1160 1200 1218 1240 1280 1302 1344 1392 1400 1405 1450 1488 1536 1550 1600 1624 1680 1686 1736 1740 1792 1798 1856 1860 1920 1967 1984 2030 2100 2170 2175 2240 2248 2320 2325 2400 2436 2480 2560 2604 2688 2697 2784 2800 2810 2900 2976 3045 3072 3100 3200 3248 3255 3360 3372 3472 3480 3584 3596 3712 3720 3840 3934 3968 4060 4200 4215 4340 4350 4480 4495 4496 4640 4650 4800 4872 4960 5075 5120 5208 5376 5394 5425 5568 5600 5620 5800 5901 5952 6090 6200 6293 6400 6496 6510 6720 6744 6944 6960 7025 7168 7192 7424 7440 7680 7868 7936 8120 8149 8400 8430 8680 8700 8711 8960 8990 8992 9280 9300 9600 9744 9835 9920 10150 10416 10752 10788 10850 11136 11200 11240 11600 11802 11904 12180 12400 12586 12800 12992 13020 13440 13485 13488 13888 13920 14050 14384 14848 14880 15225 15360 15736 15872 16240 16275 16298 16800 16860 17360 17400 17422 17920 17980 17984 18560 18600 18879 19200 19488 19670 19840 20300 20832 21075 21504 21576 21700 22272 22400 22475 22480 23200 23604 23808 24360 24447 24800 25172 25600 25984 26040 26133 26880 26970 26976 27776 27840 28100 28768 29505 29696 29760 30450 31465 31472 31744 32480 32550 32596 33600 33720 34720 34800 34844 35840 35960 35968 37120 37200 37758 38400 38976 39340 39680 40600 40745 41664 42150 43152 43400 43555 44544 44800 44950 44960 46400 47208 47616 48720 48894 49175 49600 50344 51968 52080 52266 53760 53940 53952 55552 55680 56200 57043 57536 59010 59520 60900 60977 62930 62944 64960 65100 65192 67200 67425 67440 69440 69600 69688 71920 71936 74240 74400 75516 76800 77952 78680 79360 81200 81490 83328 84300 86304 86800 87110 89088 89600 89900 89920 92800 94395 94416 95232 97440 97788 98350 99200 100688 103936 104160 104532 107520 107880 107904 111104 111360 112400 114086 115072 118020 119040 121800 121954 122235 125860 125888 129920 130200 130384 130665 134400 134850 134880 138880 139200 139376 143840 143872 147525 148480 148800 151032 155904 157325 157360 158720 162400 162980 166656 168600 171129 172608 173600 174220 179200 179800 179840 182931 185600 188790 188832 194880 195576 196700 198400 201376 203725 207872 208320 209064 215760 215808 217775 222208 222720 224800 228172 230144 236040 238080 243600 243908 244470 251720 251776 252619 259840 260400 260768 261330 268800 269700 269760 277760 278400 278752 285215 287680 287744 295050 297600 302064 304885 311808 314650 314720 324800 325960 333312 337200 342258 345216 347200 348440 359600 359680 365862 371200 377580 377664 389760 391152 393400 396800 402752 407450 416640 418128 431520 431616 435550 445440 449600 456344 460288 471975 472080 476160 487200 487816 488940 503440 503552 505238 519680 520800 521536 522660 537600 539400 539520 555520 556800 557504 570430 575360 590100 595200 604128 609770 611175 623616 629300 629440 649600 651920 653325 666624 674400 684516 690432 694400 696880 719200 719360 731724 742400 755160 755328 757857 779520 782304 786800 793600 805504 814900 833280 836256 855645 863040 863232 871100 899200 912688 914655 920576 943950 944160 974400 975632 977880 1006880 1007104 1010476 1039360 1041600 1043072 1045320 1078800 1079040 1111040 1113600 1115008 1140860 1150720 1180200 1190400 1208256 1219540 1222350 1258600 1258880 1263095 1299200 1303840 1306650 1348800 1369032 1380864 1388800 1393760 1426075 1438400 1438720 1463448 1510320 1510656 1515714 1524425 1559040 1564608 1573600 1611008 1629800 1666560 1672512 1711290 1726080 1742200 1768333 1798400 1825376 1829310 1887900 1888320 1948800 1951264 1955760 2013760 2014208 2020952 2083200 2086144 2090640 2157600 2158080 2227200 2230016 2281720 2301440 2360400 2380800 2416512 2439080 2444700 2517200 2517760 2526190 2598400 2607680 2613300 2697600 2738064 2761728 2777600 2787520 2852150 2876800 2926896 3020640 3021312 3031428 3048850 3118080 3129216 3147200 3222016 3259600 3333120 3345024 3422580 3452160 3484400 3536666 3596800 3650752 3658620 3775800 3776640 3789285 3897600 3902528 3911520 4027520 4041904 4166400 4172288 4181280 4278225 4315200 4316160 4460032 4563440 4573275 4602880 4720800 4833024 4878160 4889400 5034400 5035520 5052380 5196800 5215360 5226600 5304999 5395200 5476128 5555200 5575040 5704300 5753600 5853792 6041280 6042624 6062856 6097700 6258432 6294400 6315475 6444032 6519200 6690048 6845160 6904320 6968800 7073332 7193600 7301504 7317240 7551600 7553280 7578570 7795200 7805056 7823040 8055040 8083808 8332800 8344576 8362560 8556450 8630400 8841665 8920064 9126880 9146550 9441600 9666048 9756320 9778800 10068800 10071040 10104760 10430720 10453200 10609998 10790400 10952256 11150080 11408600 11507200 11707584 12082560 12125712 12195400 12516864 12588800 12630950 13038400 13380096 13690320 13808640 13937600 14146664 14603008 14634480 15103200 15106560 15157140 15590400 15610112 15646080 16110080 16167616 16665600 16725120 17112900 17260800 17683330 18253760 18293100 18883200 18946425 19332096 19512640 19557600 20137600 20209520 20861440 20906400 21219996 21580800 21904512 22300160 22817200 23014400 23415168 24165120 24251424 24390800 25033728 25177600 25261900 26076800 26524995 26760192 27380640 27875200 28293328 29206016 29268960 30206400 30213120 30314280 31220224 31292160 32220160 32335232 33450240 34225800 34521600 35366660 36507520 36586200 37766400 37892850 39025280 39115200 40275200 40419040 41722880 41812800 42439992 43809024 44208325 44600320 45634400 46830336 48330240 48502848 48781600 50355200 50523800 52153600 53049990 54761280 55750400 56586656 58412032 58537920 60412800 60628560 62440448 62584320 64670464 66900480 68451600 69043200 70733320 73015040 73172400 75532800 75785700 78050560 78230400 80550400 80838080 83625600 84879984 87618048 88416650 91268800 93660672 96660480 97005696 97563200 101047600 104307200 106099980 109522560 111500800 113173312 117075840 120825600 121257120 125168640 129340928 132624975 133800960 136903200 141466640 146030080 146344800 151065600 151571400 156101120 156460800 161100800 161676160 167251200 169759968 175236096 176833300 182537600 187321344 194011392 195126400 202095200 208614400 212199960 219045120 223001600 226346624 234151680 241651200 242514240 258681856 265249950 273806400 282933280 292060160 292689600 303142800 312202240 312921600 323352320 334502400 339519936 353666600 365075200 388022784 390252800 404190400 424399920 438090240 452693248 468303360 483302400 485028480 530499900 547612800 565866560 585379200 606285600 625843200 646704640 669004800 679039872 707333200 730150400 776045568 780505600 808380800 848799840 876180480 905386496 936606720 970056960 1060999800 1095225600 1131733120 1170758400 1212571200 1293409280 1358079744 1414666400 1460300800 1561011200 1616761600 1697599680 1810772992 1940113920 2121999600 2190451200 2263466240 2341516800 2425142400 2716159488 2829332800 3233523200 3395199360 3880227840 4243999200 4380902400 4526932480 4683033600 4850284800 5432318976 5658665600 6467046400 6790398720 8487998400 9053864960 9700569600 11317331200 13580797440 16975996800 19401139200 22634662400 27161594880 33951993600 45269324800 67903987200 135807974400
• Sum of all divisors σ(n): 549730529280
• Sum of proper divisors (its aliquot sum) s(n): 413922554880
• 135807974400 is an abundant number, because the sum of its proper divisors (413922554880) is greater than itself. Its abundance is 278114580480

Bases of 135807974400

• Binary: 1111110011110110010010011110000000000₂
• Hexadecimal: 0x1F9EC93C00
• Base-36: 1QE0K7PC

Squares and roots of 135807974400

• 135807974400 squared (135807974400²) is 18443805910631055360000
• 135807974400 cubed (135807974400³) is 2504815920949551054175862784000000
• The square root of 135807974400 is 368521.3350675915
• The cube root of 135807974400 is 5140.1416888779

Scales and comparisons

• 135,807,974,400 seconds is equal to 4,318 years, 14 weeks, 1 day, 13 hours, 20 minutes.
• To count from 1 to 135,807,974,400 would take you about eight thousand, six 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 135807974400 cubic inches would be around 428.3 feet tall.

Recreational maths with 135807974400

• 135807974400 backwards is 004479708531
• 135807974400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135807974400's digits is 48
• More coming soon!