138483398400

Names of 138483398400

• Cardinal: 138483398400 can be written as One hundred thirty-eight billion, four hundred eighty-three million, three hundred ninety-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.384833984 × 10¹¹

Factors of 138483398400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 254

Divisors of 138483398400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 31 32 40 48 50 58 60 62 64 71 75 80 87 93 96 100 113 116 120 124 128 142 145 150 155 160 174 186 192 200 213 226 232 240 248 256 284 290 300 310 320 339 348 355 372 384 400 426 435 452 464 465 480 496 565 568 580 600 620 640 678 696 710 725 744 768 775 800 852 870 899 904 928 930 960 992 1065 1130 1136 1160 1200 1240 1280 1356 1392 1420 1450 1488 1550 1600 1695 1704 1740 1775 1798 1808 1856 1860 1920 1984 2059 2130 2175 2201 2260 2272 2320 2325 2400 2480 2697 2712 2784 2825 2840 2900 2976 3100 3200 3277 3390 3408 3480 3503 3550 3596 3616 3712 3720 3840 3968 4118 4260 4350 4402 4495 4520 4544 4640 4650 4800 4960 5325 5394 5424 5568 5650 5680 5800 5952 6177 6200 6400 6554 6603 6780 6816 6960 7006 7100 7192 7232 7424 7440 7936 8023 8236 8475 8520 8700 8804 8990 9040 9088 9280 9300 9600 9831 9920 10295 10509 10650 10788 10848 11005 11136 11300 11360 11600 11904 12354 12400 13108 13206 13485 13560 13632 13920 14012 14200 14384 14464 14880 16046 16385 16472 16950 17040 17400 17515 17608 17980 18080 18176 18560 18600 19200 19662 19840 20590 21018 21300 21576 21696 22010 22272 22475 22600 22720 23200 23808 24069 24708 24800 26216 26412 26970 27120 27264 27840 28024 28400 28768 28928 29760 30885 32092 32770 32944 33015 33900 34080 34800 35030 35216 35960 36160 37120 37200 39324 39680 40115 41180 42036 42600 43152 43392 44020 44950 45200 45440 46400 48138 49155 49416 49600 51475 52432 52545 52824 53940 54240 54528 55025 55680 56048 56800 57536 59520 61770 63829 64184 65540 65888 66030 67425 67800 68160 69600 70060 70432 71920 72320 74400 78648 80230 81925 82360 84072 85200 86304 86784 87575 88040 89900 90400 90880 92800 96276 98310 98832 99200 101587 102950 104864 105090 105648 107880 108480 110050 111360 112096 113600 115072 119040 120345 123540 127658 128368 131080 131776 132060 134850 135600 136320 139200 140120 140864 143840 144640 148800 154425 157296 160460 163850 164720 165075 168144 170400 172608 175150 176080 179800 180800 185600 191487 192552 196620 197664 198400 200575 203174 205900 209728 210180 211296 215760 216960 220100 224192 227200 230144 232667 240690 245775 247080 248713 255316 256736 262160 262725 263552 264120 269700 271200 272640 278400 280240 281728 287680 297600 304761 308850 314592 319145 320920 327700 329440 330150 336288 340800 345216 350300 352160 359600 361600 382974 385104 393240 395328 401150 406348 411800 419456 420360 422592 431520 433920 440200 448384 454400 465334 481380 491550 494160 497426 507935 510632 513472 524320 525450 527104 528240 539400 542400 556800 560480 563456 575360 595200 601725 609522 617700 629184 638290 641840 655400 658880 660300 672576 681600 690432 698001 700600 704320 719200 723200 746139 765948 770208 786480 790656 802300 812696 823600 838912 840720 845184 863040 880400 896768 930668 957435 962760 983100 988320 994852 1015870 1021264 1026944 1048640 1050900 1056480 1078800 1084800 1120960 1150720 1163335 1203450 1219044 1235400 1243565 1258368 1276580 1283680 1310800 1317760 1320600 1345152 1363200 1396002 1401200 1408640 1438400 1492278 1523805 1531896 1540416 1572960 1581312 1595725 1604600 1625392 1647200 1681440 1690368 1726080 1760800 1861336 1914870 1925520 1966200 1976640 1989704 2031740 2042528 2053888 2097280 2101800 2112960 2157600 2169600 2241920 2326670 2406900 2438088 2470800 2487130 2516736 2539675 2553160 2567360 2621600 2635520 2641200 2690304 2792004 2802400 2817280 2876800 2984556 3047610 3063792 3080832 3145920 3191450 3209200 3250784 3294400 3362880 3452160 3490005 3521600 3722672 3730695 3829740 3851040 3932400 3953280 3979408 4063480 4085056 4194560 4203600 4225920 4315200 4483840 4653340 4787175 4813800 4876176 4941600 4974260 5079350 5106320 5134720 5243200 5282400 5584008 5604800 5753600 5816675 5969112 6095220 6127584 6161664 6217825 6291840 6382900 6418400 6501568 6588800 6725760 6980010 7043200 7212677 7445344 7461390 7619025 7659480 7702080 7864800 7906560 7958816 8126960 8170112 8407200 8451840 8630400 9306680 9574350 9627600 9752352 9883200 9948520 10158700 10212640 10269440 10486400 10564800 11168016 11209600 11633350 11938224 12190440 12255168 12435650 12583680 12765800 12836800 13003136 13177600 13451520 13960020 14086400 14425354 14890688 14922780 15238050 15318960 15404160 15729600 15917632 16253920 16340224 16814400 17260800 17450025 18613360 18653475 19148700 19255200 19504704 19766400 19897040 20317400 20425280 20972800 21129600 21638031 22336032 22419200 23266700 23876448 24380880 24510336 24871300 25531600 25673600 26006272 27920040 28850708 29781376 29845560 30476100 30637920 30808320 31459200 31835264 32507840 33628800 34900050 36063385 37226720 37306950 38297400 38510400 39009408 39532800 39794080 40634800 40850560 42259200 43276062 44672064 46533400 47752896 48761760 49020672 49742600 51063200 51347200 55840080 57701416 59562752 59691120 60952200 61275840 62918400 63670528 65015680 67257600 69800100 72126770 74453440 74613900 76594800 77020800 78018816 79588160 81269600 81701120 86552124 89344128 93066800 95505792 97523520 99485200 102126400 108190155 111680160 115402832 119382240 121904400 122551680 130031360 139600200 144253540 148906880 149227800 153189600 154041600 159176320 162539200 173104248 178688256 180316925 186133600 191011584 195047040 198970400 204252800 216380310 223360320 230805664 238764480 243808800 245103360 279200400 288507080 297813760 298455600 306379200 318352640 325078400 346208496 360633850 372267200 390094080 397940800 408505600 432760620 446720640 461611328 477528960 487617600 540950775 558400800 577014160 596911200 612758400 650156800 692416992 721267700 744534400 795881600 865521240 893441280 923222656 955057920 975235200 1081901550 1116801600 1154028320 1193822400 1225516800 1384833984 1442535400 1489068800 1591763200 1731042480 1846445312 1950470400 2163803100 2233603200 2308056640 2387644800 2769667968 2885070800 3462084960 4327606200 4467206400 4616113280 4775289600 5539335936 5770141600 6924169920 8655212400 9232226560 11540283200 13848339840 17310424800 23080566400 27696679680 34620849600 46161132800 69241699200 138483398400
• Sum of all divisors σ(n): 499288043520
• Sum of proper divisors (its aliquot sum) s(n): 360804645120
• 138483398400 is an abundant number, because the sum of its proper divisors (360804645120) is greater than itself. Its abundance is 222321246720

Bases of 138483398400

• Binary: 10000000111110010000001111011100000000₂
• Hexadecimal: 0x203E40F700
• Base-36: 1RM9FU2O

Squares and roots of 138483398400

• 138483398400 squared (138483398400²) is 19177651632413122560000
• 138483398400 cubed (138483398400³) is 2655786371387876804864507904000000
• The square root of 138483398400 is 372133.5760180745
• The cube root of 138483398400 is 5173.6761177431

Scales and comparisons

• 138,483,398,400 seconds is equal to 4,403 years, 17 weeks, 6 days, 2 hours, 40 minutes.
• To count from 1 to 138,483,398,400 would take you about eight thousand, eight hundred 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 138483398400 cubic inches would be around 431.1 feet tall.

Recreational maths with 138483398400

• 138483398400 backwards is 004893384831
• The number of decimal digits it has is: 12
• The sum of 138483398400's digits is 51
• More coming soon!