137438290404480
137,438,290,404,480 is an even composite number composed of five prime numbers multiplied together.
137438290404480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137438290404480:
27 × 3 × 5 × 132 × 7513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 751 × 751 × 751)See below for interesting mathematical facts about the number 137438290404480 from the Numbermatics database.
Names of 137438290404480
- Cardinal: 137438290404480 can be written as One hundred thirty-seven trillion, four hundred thirty-eight billion, two hundred ninety million, four hundred four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3743829040448 × 1014
Factors of 137438290404480
Divisors of 137438290404480
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 260 312 320 338 384 390 416 480 507 520 624 640 676 751 780 832 845 960 1014 1040 1248 1352 1502 1560 1664 1690 1920 2028 2080 2253 2496 2535 2704 3004 3120 3380 3755 4056 4160 4506 4992 5070 5408 6008 6240 6760 7510 8112 8320 9012 9763 10140 10816 11265 12016 12480 13520 15020 16224 18024 19526 20280 21632 22530 24032 24960 27040 29289 30040 32448 36048 39052 40560 45060 48064 48815 54080 58578 60080 64896 72096 78104 81120 90120 96128 97630 108160 117156 120160 126919 144192 146445 156208 162240 180240 195260 234312 240320 253838 288384 292890 312416 324480 360480 380757 390520 468624 480640 507676 564001 585780 624832 634595 720960 761514 781040 937248 1015352 1128002 1171560 1249664 1269190 1441920 1523028 1562080 1692003 1874496 1903785 2030704 2256004 2343120 2538380 2820005 3046056 3124160 3384006 3748992 3807570 4061408 4512008 4686240 5076760 5640010 6092112 6248320 6768012 7332013 7615140 8122816 8460015 9024016 9372480 10153520 11280020 12184224 13536024 14664026 15230280 16245632 16920030 18048032 18744960 20307040 21996039 22560040 24368448 27072048 29328052 30460560 33840060 36096064 36660065 40614080 43992078 45120080 48736896 54144096 58656104 60921120 67680120 72192128 73320130 81228160 87984156 90240160 95316169 108288192 109980195 117312208 121842240 135360240 146640260 175968312 180480320 190632338 216576384 219960390 234624416 243684480 270720480 285948507 293280520 351936624 360960640 381264676 423564751 439920780 469248832 476580845 541440960 571897014 586561040 703873248 762529352 847129502 879841560 938497664 953161690 1082881920 1143794028 1173122080 1270694253 1407746496 1429742535 1525058704 1694259004 1759683120 1906323380 2117823755 2287588056 2346244160 2541388506 2815492992 2859485070 3050117408 3388518008 3519366240 3812646760 4235647510 4575176112 4692488320 5082777012 5506341763 5718970140 6100234816 6353471265 6777036016 7038732480 7625293520 8471295020 9150352224 10165554024 11012683526 11437940280 12200469632 12706942530 13554072032 14077464960 15250587040 16519025289 16942590040 18300704448 20331108048 22025367052 22875880560 25413885060 27108144064 27531708815 30501174080 33038050578 33885180080 36601408896 40662216096 44050734104 45751761120 50827770120 54216288128 55063417630 61002348160 66076101156 67770360160 71582442919 81324432192 82595126445 88101468208 91503522240 101655540240 110126835260 132152202312 135540720320 143164885838 162648864384 165190252890 176202936416 183007044480 203311080480 214747328757 220253670520 264304404624 271081440640 286329771676 330380505780 352405872832 357912214595 406622160960 429494657514 440507341040 528608809248 572659543352 660761011560 704811745664 715824429190 813244321920 858989315028 881014682080 1057217618496 1073736643785 1145319086704 1321522023120 1431648858380 1717978630056 1762029364160 2114435236992 2147473287570 2290638173408 2643044046240 2863297716760 3435957260112 3524058728320 4294946575140 4581276346816 5286088092480 5726595433520 6871914520224 8589893150280 9162552693632 10572176184960 11453190867040 13743829040448 17179786300560 22906381734080 27487658080896 34359572601120 45812763468160 68719145202240 137438290404480
- Sum of all divisors σ(n): 475008079299840
- Sum of proper divisors (its aliquot sum) s(n): 337569788895360
- 137438290404480 is an abundant number, because the sum of its proper divisors (337569788895360) is greater than itself. Its abundance is 200131498490880
Bases of 137438290404480
- Binary: 111110011111111110110000111101001100100100000002
- Hexadecimal: 0x7CFFD87A6480
- Base-36: 1CPUA1JZPC
Squares and roots of 137438290404480
- 137438290404480 squared (1374382904044802) is 18889283669306179242004070400
- 137438290404480 cubed (1374382904044803) is 2596110854474704220015498988621422395392000
-
The
square root of 137438290404480 is 11723407.7982675327 -
The
cube root of 137438290404480 is 51606.2832127625
Scales and comparisons
How big is 137438290404480?- 137,438,290,404,480 seconds is equal to 4,370,112 years, 26 weeks, 3 days, 18 hours, 8 minutes.
-
To count from 1 to 137,438,290,404,480 would take you about ten million, nine hundred twenty-five thousand, two hundred eighty-one 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 137438290404480 cubic inches would be around 4300.5 feet tall.
Recreational maths with 137438290404480
- 137438290404480 backwards is 084404092834731
- The number of decimal digits it has is: 15
- The sum of 137438290404480's digits is 57
- More coming soon!
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