13768701900800

Names of 13768701900800

• Cardinal: 13768701900800 can be written as Thirteen trillion, seven hundred sixty-eight billion, seven hundred one million, nine hundred thousand, eight hundred.

Scientific notation

• Scientific notation: 1.37687019008 × 10¹³

Factors of 13768701900800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 8643

Divisors of 13768701900800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 37 40 44 50 55 56 64 70 74 77 80 88 100 110 112 121 128 140 148 154 160 175 176 185 200 220 224 242 256 259 275 280 296 308 320 350 352 370 385 400 407 440 448 484 512 518 550 560 592 605 616 640 700 704 740 770 800 814 847 880 896 925 968 1024 1036 1100 1120 1184 1210 1232 1280 1295 1400 1408 1480 1540 1600 1628 1694 1760 1792 1850 1925 1936 2035 2048 2072 2200 2240 2368 2420 2464 2560 2590 2800 2816 2849 2960 3025 3080 3200 3256 3388 3520 3584 3700 3850 3872 4070 4144 4235 4400 4477 4480 4736 4840 4928 5120 5180 5600 5632 5698 5920 6050 6160 6400 6475 6512 6776 7040 7168 7400 7700 7744 8140 8288 8470 8581 8800 8954 8960 9472 9680 9856 10175 10240 10360 11200 11264 11396 11840 12100 12320 12800 12950 13024 13552 14080 14245 14336 14800 15400 15488 16280 16576 16940 17162 17600 17908 17920 18944 19360 19712 20350 20720 21175 22385 22400 22528 22792 23680 24200 24640 25600 25900 26048 27104 28160 28490 29600 30800 30976 31339 32560 33152 33880 34324 35200 35816 35840 37888 38720 39424 40700 41440 42350 42905 44770 44800 45584 47360 48400 49280 51200 51800 52096 54208 56320 56980 59200 60067 61600 61952 62678 65120 66304 67760 68648 70400 71225 71632 71680 75776 77440 78848 81400 82880 84700 85810 89540 89600 91168 94391 94720 96800 98560 103600 104192 108416 111925 112640 113960 118400 120134 123200 123904 125356 130240 132608 135520 137296 140800 142450 143264 154880 156695 157696 162800 165760 169400 171620 179080 179200 182336 188782 189440 193600 197120 207200 208384 214525 216832 223850 227920 236800 240268 246400 247808 250712 260480 265216 271040 274592 281600 284900 286528 300335 309760 313390 317497 325600 331520 338800 343240 358160 358400 364672 377564 378880 387200 394240 414400 416768 429050 433664 447700 455840 471955 473600 480536 492800 501424 520960 530432 542080 549184 563200 569800 573056 600670 619520 626780 634994 651200 660737 663040 677600 686480 716320 729344 755128 774400 783475 788480 828800 833536 858100 867328 895400 911680 943910 947200 961072 985600 1002848 1038301 1041920 1084160 1098368 1139600 1146112 1201340 1239040 1253560 1269988 1302400 1321474 1326080 1355200 1372960 1432640 1458688 1501675 1510256 1548800 1566950 1587485 1657600 1716200 1734656 1790800 1823360 1887820 1894400 1922144 1971200 2005696 2076602 2083840 2168320 2196736 2222479 2279200 2292224 2359775 2402680 2507120 2539976 2604800 2642948 2652160 2710400 2745920 2865280 2917376 3003350 3020512 3097600 3133900 3174970 3303685 3315200 3432400 3492467 3581600 3646720 3775640 3844288 3942400 4011392 4153204 4167680 4336640 4393472 4444958 4558400 4584448 4719550 4805360 5014240 5079952 5191505 5209600 5285896 5420800 5491840 5730560 5834752 6006700 6041024 6195200 6267800 6349940 6607370 6630400 6864800 6984934 7163200 7268107 7293440 7551280 7688576 7937425 8022784 8306408 8673280 8786944 8889916 9116800 9168896 9439100 9610720 10028480 10159904 10383010 10419200 10571792 10841600 10983680 11112395 11461120 12013400 12082048 12535600 12699880 13214740 13260800 13729600 13969868 14326400 14536214 14586880 15102560 15377152 15874850 16045568 16518425 16612816 17462335 17573888 17779832 18233600 18878200 19221440 20056960 20319808 20766020 20838400 21143584 21683200 21967360 22224790 22922240 24026800 24164096 24447269 25071200 25399760 25957525 26429480 27459200 27939736 28652800 29072428 29173760 30205120 30754304 31749700 32091136 33036850 33225632 34924670 35559664 36340535 36467200 37756400 38417137 38442880 40113920 40639616 41532040 42287168 43366400 43934720 44449580 45844480 48053600 48328192 48894538 50142400 50799520 51915050 52858960 54918400 55561975 55879472 57305600 58144856 60410240 61508608 63499400 64182272 66073700 66451264 69849340 71119328 72681070 72934400 75512800 76834274 76885760 80227840 81279232 83064080 84574336 87311675 87869440 88899160 96107200 96656384 97789076 100284800 101599040 103830100 105717920 109836800 111123950 111758944 114611200 116289712 120820480 122236345 123017216 126998800 132147400 132902528 139698680 142238656 145362140 145868800 151025600 153668548 153771520 160455680 162558464 166128160 169148672 174623350 177798320 181702675 192085685 192214400 193312768 195578152 200569600 203198080 207660200 211435840 219673600 222247900 223517888 229222400 232579424 241640960 244472690 253997600 264294800 265805056 268919959 279397360 284477312 290724280 302051200 307337096 307543040 320911360 325116928 332256320 338297344 349246700 355596640 363405350 384171370 384428800 391156304 401139200 406396160 415320400 422871680 439347200 444495800 447035776 465158848 483281920 488945380 507995200 528589600 531610112 537839918 558794720 568954624 581448560 604102400 611181725 614674192 615086080 650233856 664512640 676594688 698493400 711193280 726810700 768342740 768857600 782312608 802278400 812792320 830640800 845743360 888991600 894071552 930317696 960428425 966563840 977890760 1015990400 1057179200 1063220224 1075679836 1117589440 1137909248 1162897120 1208204800 1222363450 1229348384 1329025280 1344599795 1353189376 1396986800 1422386560 1453621400 1536685480 1537715200 1564625216 1604556800 1625584640 1661281600 1691486720 1777983200 1788143104 1860635392 1920856850 1955781520 2031980800 2114358400 2126440448 2151359672 2235178880 2275818496 2325794240 2416409600 2444726900 2458696768 2658050560 2689199590 2793973600 2844773120 2907242800 3073370960 3075430400 3129250432 3251169280 3322563200 3382973440 3555966400 3576286208 3721270784 3841713700 3911563040 4063961600 4228716800 4302719344 4470357760 4551636992 4651588480 4832819200 4889453800 4917393536 5316101120 5378399180 5587947200 5689546240 5814485600 6146741920 6258500864 6645126400 6722998975 6765946880 7111932800 7152572416 7442541568 7683427400 7823126080 8127923200 8457433600 8605438688 8940715520 9303176960 9778907600 9834787072 10632202240 10756798360 11175894400 11379092480 11628971200 12293483840 12517001728 13290252800 13445997950 14223865600 14885083136 15366854800 15646252160 16255846400 16914867200 17210877376 17881431040 18606353920 19557815200 19669574144 21513596720 22351788800 22758184960 23257942400 24586967680 25034003456 26580505600 26891995900 28447731200 30733709600 31292504320 33829734400 34421754752 35762862080 37212707840 39115630400 39339148288 43027193440 44703577600 46515884800 49173935360 50068006912 53161011200 53783991800 56895462400 61467419200 62585008640 68843509504 74425415680 78231260800 78678296576 86054386880 89407155200 93031769600 98347870720 107567983600 113790924800 122934838400 125170017280 137687019008 156462521600 172108773760 178814310400 186063539200 196695741440 215135967200 245869676800 250340034560 275374038016 312925043200 344217547520 372127078400 393391482880 430271934400 491739353600 550748076032 625850086400 688435095040 860543868800 983478707200 1251700172800 1376870190080 1721087737600 1966957414400 2753740380160 3442175475200 6884350950400 13768701900800
• Sum of all divisors σ(n): 44048318539680
• Sum of proper divisors (its aliquot sum) s(n): 30279616638880
• 13768701900800 is an abundant number, because the sum of its proper divisors (30279616638880) is greater than itself. Its abundance is 16510914738080

Bases of 13768701900800

• Binary: 11001000010111000110100101011111100000000000₂
• Hexadecimal: 0xC85C695F800
• Base-36: 4VP95M48W

Squares and roots of 13768701900800

• 13768701900800 squared (13768701900800²) is 189577152033093533040640000
• 13768701900800 cubed (13768701900800³) is 2610231293546305512880847571648512000000
• The square root of 13768701900800 is 3710620.1504330783
• The cube root of 13768701900800 is 23967.9560201997

Scales and comparisons

• 13,768,701,900,800 seconds is equal to 437,802 years, 6 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 13,768,701,900,800 would take you about one million, ninety-four thousand, five hundred five 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 13768701900800 cubic inches would be around 1997.3 feet tall.

Recreational maths with 13768701900800

• 13768701900800 backwards is 00800910786731
• 13768701900800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13768701900800's digits is 50
• More coming soon!