138348038814720
138,348,038,814,720 is an even composite number composed of six prime numbers multiplied together.
138348038814720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 138348038814720:
210 × 3 × 5 × 7 × 271 × 21792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 271 × 2179 × 2179)See below for interesting mathematical facts about the number 138348038814720 from the Numbermatics database.
Names of 138348038814720
- Cardinal: 138348038814720 can be written as One hundred thirty-eight trillion, three hundred forty-eight billion, thirty-eight million, eight hundred fourteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3834803881472 × 1014
Factors of 138348038814720
Divisors of 138348038814720
- Number of divisors d(n): 528
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 271 280 320 336 384 420 448 480 512 542 560 640 672 768 813 840 896 960 1024 1084 1120 1280 1344 1355 1536 1626 1680 1792 1897 1920 2168 2179 2240 2560 2688 2710 3072 3252 3360 3584 3794 3840 4065 4336 4358 4480 5120 5376 5420 5691 6504 6537 6720 7168 7588 7680 8130 8672 8716 8960 9485 10752 10840 10895 11382 13008 13074 13440 15176 15253 15360 16260 17344 17432 17920 18970 21504 21680 21790 22764 26016 26148 26880 28455 30352 30506 32520 32685 34688 34864 35840 37940 43360 43580 45528 45759 52032 52296 53760 56910 60704 61012 65040 65370 69376 69728 75880 76265 86720 87160 91056 91518 104064 104592 107520 113820 121408 122024 130080 130740 138752 139456 151760 152530 173440 174320 182112 183036 208128 209184 227640 228795 242816 244048 260160 261480 277504 278912 303520 305060 346880 348640 364224 366072 416256 418368 455280 457590 485632 488096 520320 522960 557824 590509 607040 610120 693760 697280 728448 732144 832512 836736 910560 915180 971264 976192 1040640 1045920 1115648 1181018 1214080 1220240 1387520 1394560 1456896 1464288 1673472 1771527 1821120 1830360 1942528 1952384 2081280 2091840 2231296 2362036 2428160 2440480 2789120 2913792 2928576 2952545 3346944 3543054 3642240 3660720 3904768 4133563 4162560 4183680 4724072 4748041 4856320 4880960 5578240 5827584 5857152 5905090 6693888 7086108 7284480 7321440 7809536 8267126 8367360 8857635 9448144 9496082 9712640 9761920 11156480 11714304 11810180 12400689 14172216 14244123 14568960 14642880 15619072 16534252 16734720 17715270 18896288 18992164 19523840 20667815 23428608 23620360 23740205 24801378 28344432 28488246 29137920 29285760 33068504 33236287 33469440 35430540 37792576 37984328 39047680 41335630 46857216 47240720 47480410 49602756 56688864 56976492 58571520 62003445 66137008 66472574 70861080 71220615 75585152 75968656 78095360 82671260 94481440 94960820 99205512 99708861 113377728 113952984 117143040 124006890 132274016 132945148 141722160 142441230 151170304 151937312 165342520 166181435 188962880 189921640 198411024 199417722 226755456 227905968 234286080 248013780 264548032 265890296 283444320 284882460 302340608 303874624 330685040 332362870 377925760 379843280 396822048 398835444 453510912 455811936 496027560 498544305 529096064 531780592 566888640 569764920 604681216 607749248 661370080 664725740 755851520 759686560 793644096 797670888 907021824 911623872 992055120 997088610 1058192128 1063561184 1133777280 1139529840 1215498496 1286719111 1322740160 1329451480 1511703040 1519373120 1587288192 1595341776 1814043648 1823247744 1984110240 1994177220 2116384256 2127122368 2267554560 2279059680 2430996992 2573438222 2645480320 2658902960 3023406080 3038746240 3174576384 3190683552 3646495488 3860157333 3968220480 3988354440 4232768512 4254244736 4535109120 4558119360 4861993984 5146876444 5290960640 5317805920 6077492480 6349152768 6381367104 6433595555 7292990976 7720314666 7936440960 7976708880 8508489472 9007033777 9070218240 9116238720 10293752888 10581921280 10635611840 12154984960 12698305536 12762734208 12867191110 14585981952 15440629332 15872881920 15953417760 17016978944 18014067554 18232477440 19300786665 20587505776 21163842560 21271223680 24309969920 25525468416 25734382220 27021101331 30881258664 31745763840 31906835520 34033957888 36028135108 36464954880 38601573330 41175011552 42542447360 45035168885 51050936832 51468764440 54042202662 61762517328 63491527680 63813671040 72056270216 72929909760 77203146660 82350023104 85084894720 90070337770 102101873664 102937528880 108084405324 123525034656 127627342080 135105506655 144112540432 154406293320 164700046208 170169789440 180140675540 205875057760 216168810648 247050069312 255254684160 270211013310 288225080864 308812586640 329400092416 360281351080 411750115520 432337621296 494100138624 510509368320 540422026620 576450161728 617625173280 658800184832 720562702160 823500231040 864675242592 988200277248 1080844053240 1152900323456 1235250346560 1317600369664 1441125404320 1647000462080 1729350485184 1976400554496 2161688106480 2305800646912 2470500693120 2882250808640 3294000924160 3458700970368 3952801108992 4323376212960 4611601293824 4941001386240 5764501617280 6588001848320 6917401940736 8646752425920 9223202587648 9882002772480 11529003234560 13834803881472 17293504851840 19764005544960 23058006469120 27669607762944 34587009703680 46116012938240 69174019407360 138348038814720
- Sum of all divisors σ(n): 507810633458688
- Sum of proper divisors (its aliquot sum) s(n): 369462594643968
- 138348038814720 is an abundant number, because the sum of its proper divisors (369462594643968) is greater than itself. Its abundance is 231114555829248
Bases of 138348038814720
- Binary: 111110111010011101010011011010101111100000000002
- Hexadecimal: 0x7DD3A9B57C00
- Base-36: 1D1G7M9PMO
Squares and roots of 138348038814720
- 138348038814720 squared (1383480388147202) is 19140179843879271702488678400
- 138348038814720 cubed (1383480388147203) is 2648006343961730871313548615304555266048000
-
The
square root of 138348038814720 is 11762144.3119322423 -
The
cube root of 138348038814720 is 51719.8991093519
Scales and comparisons
How big is 138348038814720?- 138,348,038,814,720 seconds is equal to 4,399,039 years, 36 weeks, 1 day, 5 hours, 52 minutes.
-
To count from 1 to 138,348,038,814,720 would take you about ten million, nine hundred ninety-seven thousand, five hundred ninety-nine 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 138348038814720 cubic inches would be around 4310 feet tall.
Recreational maths with 138348038814720
- 138348038814720 backwards is 027418830843831
- 138348038814720 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138348038814720's digits is 60
- More coming soon!
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The information we have on file for 138348038814720 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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