135413829120
135,413,829,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 135413829120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
135413829120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135413829120:
29 × 3 × 5 × 17 × 412 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 41 × 41 × 617)See below for interesting mathematical facts about the number 135413829120 from the Numbermatics database.
Names of 135413829120
- Cardinal: 135413829120 can be written as One hundred thirty-five billion, four hundred thirteen million, eight hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3541382912 × 1011
Factors of 135413829120
Divisors of 135413829120
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 41 48 51 60 64 68 80 82 85 96 102 120 123 128 136 160 164 170 192 204 205 240 246 255 256 272 320 328 340 384 408 410 480 492 510 512 544 615 617 640 656 680 697 768 816 820 960 984 1020 1088 1230 1234 1280 1312 1360 1394 1536 1632 1640 1681 1851 1920 1968 2040 2091 2176 2460 2468 2560 2624 2720 2788 3085 3264 3280 3362 3485 3702 3840 3936 4080 4182 4352 4920 4936 5043 5248 5440 5576 6170 6528 6560 6724 6970 7404 7680 7872 8160 8364 8405 8704 9255 9840 9872 10086 10455 10489 10496 10880 11152 12340 13056 13120 13448 13940 14808 15744 16320 16728 16810 18510 19680 19744 20172 20910 20978 20992 21760 22304 24680 25215 25297 26112 26240 26896 27880 28577 29616 31467 31488 32640 33456 33620 37020 39360 39488 40344 41820 41956 43520 44608 49360 50430 50594 52445 52480 53792 55760 57154 59232 62934 62976 65280 66912 67240 74040 75891 78720 78976 80688 83640 83912 85731 89216 98720 100860 101188 104890 104960 107584 111520 114308 118464 125868 126485 130560 133824 134480 142885 148080 151782 157335 157440 157952 161376 167280 167824 171462 178432 197440 201720 202376 209780 215168 223040 228616 236928 251736 252970 267648 268960 285770 296160 303564 314670 314880 315904 322752 334560 335648 342924 356864 379455 394880 403440 404752 419560 428655 430049 430336 446080 457232 473856 503472 505940 535296 537920 571540 592320 607128 629340 645504 669120 671296 685848 758910 789760 806880 809504 839120 857310 860098 860672 892160 914464 947712 1006944 1011880 1037177 1070592 1075840 1143080 1184640 1214256 1258680 1290147 1291008 1338240 1342592 1371696 1517820 1579520 1613760 1619008 1678240 1714620 1720196 1784320 1828928 2013888 2023760 2074354 2150245 2151680 2286160 2369280 2428512 2517360 2580294 2582016 2676480 2685184 2743392 3035640 3111531 3227520 3238016 3356480 3429240 3440392 3657856 4027776 4047520 4148708 4300490 4303360 4572320 4738560 4857024 5034720 5160588 5185885 5352960 5370368 5486784 6071280 6223062 6450735 6455040 6476032 6712960 6858480 6880784 7315712 8055552 8095040 8297416 8600980 9144640 9714048 10069440 10321176 10371770 10973568 12142560 12446124 12901470 12910080 12952064 13425920 13716960 13761568 14631424 15557655 16111104 16190080 16594832 17201960 17632009 18289280 19428096 20138880 20642352 20743540 21947136 24285120 24892248 25802940 26851840 27433920 27523136 31115310 32380160 33189664 34403920 35264018 36578560 38856192 40277760 41284704 41487080 43894272 48570240 49784496 51605880 52896027 54867840 55046272 62230620 64760320 66379328 68807840 70528036 73157120 80555520 82569408 82974160 88160045 97140480 99568992 103211760 105792054 109735680 110092544 124461240 132758656 137615680 141056072 165138816 165948320 176320090 194280960 199137984 206423520 211584108 219471360 220185088 248922480 264480135 265517312 275231360 282112144 330277632 331896640 352640180 398275968 412847040 423168216 497844960 528960270 531034624 550462720 564224288 660555264 663793280 705280360 796551936 825694080 846336432 995689920 1057920540 1100925440 1128448576 1327586560 1410560720 1593103872 1651388160 1692672864 1991379840 2115841080 2256897152 2655173120 2821121440 3302776320 3385345728 3982759680 4231682160 4513794304 5642242880 6770691456 7965519360 8463364320 9027588608 11284485760 13541382912 16926728640 22568971520 27082765824 33853457280 45137943040 67706914560 135413829120
- Sum of all divisors σ(n): 470579639904
- Sum of proper divisors (its aliquot sum) s(n): 335165810784
- 135413829120 is an abundant number, because the sum of its proper divisors (335165810784) is greater than itself. Its abundance is 199751981664
Bases of 135413829120
- Binary: 11111100001110100101100001110000000002
- Hexadecimal: 0x1F874B0E00
- Base-36: 1Q7HWB9C
Squares and roots of 135413829120
- 135413829120 squared (1354138291202) is 18336905116940559974400
- 135413829120 cubed (1354138291203) is 2483070536095042605570513174528000
-
The
square root of 135413829120 is 367986.1806100875 -
The
cube root of 135413829120 is 5135.1642548859
Scales and comparisons
How big is 135413829120?- 135,413,829,120 seconds is equal to 4,305 years, 38 weeks, 3 days, 16 hours, 32 minutes.
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To count from 1 to 135,413,829,120 would take you about eight thousand, six hundred eleven 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 135413829120 cubic inches would be around 427.9 feet tall.
Recreational maths with 135413829120
- 135413829120 backwards is 021928314531
- The number of decimal digits it has is: 12
- The sum of 135413829120's digits is 39
- More coming soon!
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