138142950400
138,142,950,400 is an even composite number composed of six prime numbers multiplied together.
138142950400 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 138142950400:
210 × 52 × 7 × 13 × 19 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 19 × 3121)See below for interesting mathematical facts about the number 138142950400 from the Numbermatics database.
Names of 138142950400
- Cardinal: 138142950400 can be written as One hundred thirty-eight billion, one hundred forty-two million, nine hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.381429504 × 1011
Factors of 138142950400
Divisors of 138142950400
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 50 52 56 64 65 70 76 80 91 95 100 104 112 128 130 133 140 152 160 175 182 190 200 208 224 247 256 260 266 280 304 320 325 350 364 380 400 416 448 455 475 494 512 520 532 560 608 640 650 665 700 728 760 800 832 896 910 950 988 1024 1040 1064 1120 1216 1235 1280 1300 1330 1400 1456 1520 1600 1664 1729 1792 1820 1900 1976 2080 2128 2240 2275 2432 2470 2560 2600 2660 2800 2912 3040 3121 3200 3325 3328 3458 3584 3640 3800 3952 4160 4256 4480 4550 4864 4940 5120 5200 5320 5600 5824 6080 6175 6242 6400 6650 6656 6916 7168 7280 7600 7904 8320 8512 8645 8960 9100 9728 9880 10400 10640 11200 11648 12160 12350 12484 12800 13300 13312 13832 14560 15200 15605 15808 16640 17024 17290 17920 18200 19456 19760 20800 21280 21847 22400 23296 24320 24700 24968 25600 26600 27664 29120 30400 31210 31616 33280 34048 34580 35840 36400 39520 40573 41600 42560 43225 43694 44800 46592 48640 49400 49936 53200 55328 58240 59299 60800 62420 63232 66560 68096 69160 72800 78025 79040 81146 83200 85120 86450 87388 89600 93184 97280 98800 99872 106400 109235 110656 116480 118598 121600 124840 126464 136192 138320 145600 156050 158080 162292 166400 170240 172900 174776 179200 197600 199744 202865 212800 218470 221312 232960 237196 243200 249680 252928 276640 284011 291200 296495 312100 316160 324584 332800 340480 345800 349552 395200 399488 405730 415093 425600 436940 442624 465920 474392 486400 499360 546175 553280 568022 582400 592990 624200 632320 649168 680960 691600 699104 770887 790400 798976 811460 830186 851200 873880 885248 948784 998720 1014325 1092350 1106560 1136044 1164800 1185980 1248400 1264640 1298336 1383200 1398208 1420055 1482475 1541774 1580800 1597952 1622920 1660372 1702400 1747760 1770496 1897568 1997440 2028650 2075465 2184700 2213120 2272088 2329600 2371960 2496800 2596672 2766400 2796416 2840110 2964950 3083548 3161600 3195904 3245840 3320744 3404800 3495520 3795136 3854435 3994880 4057300 4150930 4369400 4426240 4544176 4743920 4993600 5193344 5396209 5532800 5592832 5680220 5929900 6167096 6323200 6491680 6641488 6991040 7100275 7590272 7708870 7989760 8114600 8301860 8738800 8852480 9088352 9487840 9987200 10377325 10386688 10792418 11065600 11185664 11360440 11859800 12334192 12983360 13282976 13982080 14200550 15180544 15417740 15979520 16229200 16603720 17477600 18176704 18975680 19272175 19974400 20754650 20773376 21584836 22131200 22371328 22720880 23719600 24668384 25966720 26565952 26981045 27964160 28401100 30361088 30835480 32458400 33207440 34955200 36353408 37951360 38544350 39948800 41509300 41546752 43169672 44262400 45441760 47439200 49336768 51933440 53131904 53962090 55928320 56802200 60722176 61670960 64916800 66414880 69910400 72706816 75902720 77088700 79897600 83018600 86339344 90883520 94878400 98673536 103866880 106263808 107924180 111856640 113604400 123341920 129833600 132829760 134905225 139820800 145413632 151805440 154177400 166037200 172678688 181767040 189756800 197347072 207733760 212527616 215848360 227208800 246683840 259667200 265659520 269810450 279641600 290827264 303610880 308354800 332074400 345357376 363534080 379513600 394694144 425055232 431696720 454417600 493367680 519334400 531319040 539620900 559283200 616709600 664148800 690714752 727068160 759027200 789388288 863393440 908835200 986735360 1038668800 1062638080 1079241800 1233419200 1328297600 1381429504 1454136320 1518054400 1726786880 1817670400 1973470720 2125276160 2158483600 2466838400 2656595200 2762859008 3453573760 3635340800 3946941440 4316967200 4933676800 5313190400 5525718016 6907147520 7270681600 8633934400 9867353600 10626380800 13814295040 17267868800 19734707200 27628590080 34535737600 69071475200 138142950400
- Sum of all divisors σ(n): 443772568960
- Sum of proper divisors (its aliquot sum) s(n): 305629618560
- 138142950400 is an abundant number, because the sum of its proper divisors (305629618560) is greater than itself. Its abundance is 167486668160
Bases of 138142950400
- Binary: 100000001010011111011000100100000000002
- Hexadecimal: 0x2029F62400
- Base-36: 1RGMQUPS
Squares and roots of 138142950400
- 138142950400 squared (1381429504002) is 19083474745216860160000
- 138142950400 cubed (1381429504003) is 2636247505188145350326616064000000
-
The
square root of 138142950400 is 371675.8673898535 -
The
cube root of 138142950400 is 5169.4329784553
Scales and comparisons
How big is 138142950400?- 138,142,950,400 seconds is equal to 4,392 years, 26 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,142,950,400 would take you about eight thousand, seven hundred eighty-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 138142950400 cubic inches would be around 430.8 feet tall.
Recreational maths with 138142950400
- 138142950400 backwards is 004059241831
- The number of decimal digits it has is: 12
- The sum of 138142950400's digits is 37
- More coming soon!
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