3848530134400
3,848,530,134,400 is an even composite number composed of seven prime numbers multiplied together.
3848530134400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 3848530134400:
27 × 52 × 7 × 19 × 43 × 113 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 43 × 113 × 1861)See below for interesting mathematical facts about the number 3848530134400 from the Numbermatics database.
Names of 3848530134400
- Cardinal: 3848530134400 can be written as Three trillion, eight hundred forty-eight billion, five hundred thirty million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.8485301344 × 1012
Factors of 3848530134400
Divisors of 3848530134400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 43 50 56 64 70 76 80 86 95 100 112 113 128 133 140 152 160 172 175 190 200 215 224 226 266 280 301 304 320 344 350 380 400 430 448 452 475 532 560 565 602 608 640 665 688 700 760 791 800 817 860 896 904 950 1064 1075 1120 1130 1204 1216 1330 1376 1400 1505 1520 1582 1600 1634 1720 1808 1861 1900 2128 2147 2150 2240 2260 2408 2432 2660 2752 2800 2825 3010 3040 3164 3200 3268 3325 3440 3616 3722 3800 3955 4085 4256 4294 4300 4480 4520 4816 4859 5320 5504 5600 5650 5719 6020 6080 6328 6536 6650 6880 7232 7444 7525 7600 7910 8170 8512 8588 8600 9040 9305 9632 9718 10640 10735 11200 11300 11438 12040 12160 12656 13027 13072 13300 13760 14464 14888 15029 15050 15200 15820 16340 17024 17176 17200 18080 18610 19264 19436 19775 20425 21280 21470 22400 22600 22876 24080 24295 25312 26054 26144 26600 27520 28595 29776 30058 30100 30400 31640 32680 34013 34352 34400 35359 36160 37220 38528 38872 39550 40850 42560 42940 45200 45752 46525 48160 48590 50624 52108 52288 53200 53675 57190 59552 60116 60200 60800 63280 65135 65360 68026 68704 68800 70718 72320 74440 75145 77744 79100 80023 81700 85120 85880 90400 91504 92321 93050 96320 97180 101248 104216 104576 106400 107350 114380 119104 120232 120400 121475 126560 130270 130720 136052 137408 137600 141436 142975 148880 150290 155488 158200 160046 163400 170065 171760 176795 180800 183008 184642 186100 192640 194360 208432 210293 212800 214700 228760 238208 240464 240800 242950 247513 253120 260540 261440 272104 274816 282872 285950 297760 300580 310976 316400 320092 325675 326800 340130 343520 353590 361600 366016 369284 372200 375725 388720 400115 416864 420586 425600 429400 457520 461605 480928 481600 485900 495026 506240 521080 522880 544208 560161 565744 571900 595520 601160 621952 632800 640184 646247 651350 653600 680260 687040 707180 732032 738568 744400 751450 777440 800230 833728 841172 850325 858800 883975 915040 923210 961856 963200 971800 990052 1042160 1051465 1088416 1120322 1131488 1143800 1191040 1202320 1237565 1265600 1280368 1292494 1302700 1307200 1360520 1374080 1414360 1472051 1477136 1488800 1502900 1520437 1554880 1600460 1667456 1682344 1700650 1717600 1767950 1830080 1846420 1923712 1943600 1980104 2000575 2084320 2102930 2176832 2240644 2262976 2287600 2308025 2404640 2475130 2531200 2560736 2584988 2605400 2614400 2721040 2800805 2828720 2944102 2954272 2977600 3005800 3040874 3109760 3200920 3231235 3364688 3401300 3435200 3535900 3660160 3692840 3887200 3960208 3995567 4001150 4168640 4205860 4353664 4481288 4525952 4575200 4616050 4809280 4950260 5121472 5169976 5210800 5257325 5442080 5601610 5657440 5888204 5908544 5955200 6011600 6081748 6187825 6401840 6462470 6729376 6802600 6870400 7071800 7360255 7385680 7602185 7774400 7920416 7991134 8002300 8337280 8411720 8962576 9042599 9150400 9232100 9618560 9900520 10242944 10339952 10421600 10514650 10643059 10884160 11203220 11314880 11776408 11817088 12023200 12163496 12375650 12803680 12924940 13458752 13605200 14004025 14143600 14720510 14771360 15204370 15548800 15840832 15982268 16004600 16156175 16823440 17925152 18085198 18300800 18464200 19801040 19977835 20679904 20843200 21029300 21286118 21768320 22406440 22629760 23552816 24046400 24326992 24751300 25607360 25849880 26917504 27210400 27968969 28008050 28287200 29441020 29542720 30408740 31681664 31964536 32009200 32312350 33646880 35850304 36170396 36801275 36928400 38010925 39602080 39955670 41359808 41686400 42058600 42572236 44812880 45212995 47105632 48092800 48653984 49502600 51214720 51699760 53215295 54420800 55937938 56016100 56574400 58882040 59085440 60817480 63298193 63929072 64018400 64624700 67293760 71700608 72340792 73602550 73856800 76021850 79204160 79911340 82719616 84117200 85144472 89625760 90425990 94211264 97307968 99005200 99889175 103399520 106430590 108841600 111875876 112032200 113148800 117764080 121634960 126596386 127858144 128036800 129249400 134587520 139844845 144681584 147205100 147713600 152043700 158408320 159822680 168234400 170288944 171809381 179251520 180851980 188422528 194615936 198010400 199778350 206799040 212861180 223751752 224064400 226064975 235528160 243269920 253192772 255716288 256073600 258498800 266076475 279689690 289363168 294410200 295427200 304087400 316490965 319645360 336468800 340577888 343618762 358503040 361703960 396020800 399556700 413598080 425722360 447503504 448128800 452129950 471056320 486539840 506385544 511432576 516997600 532152950 559379380 578726336 588820400 608174800 632981930 639290720 672937600 681155776 687237524 699224225 723407920 792041600 799113400 851444720 859046905 895007008 896257600 904259900 942112640 973079680 1012771088 1033995200 1064305900 1118758760 1157452672 1177640800 1202665667 1216349600 1265963860 1278581440 1362311552 1374475048 1398448450 1446815840 1582454825 1598226800 1702889440 1718093810 1790014016 1792515200 1808519800 2025542176 2067990400 2128611800 2237517520 2355281600 2405331334 2432699200 2531927720 2557162880 2748950096 2796896900 2893631680 3164909650 3196453600 3405778880 3436187620 3580028032 3617039600 4051084352 4257223600 4295234525 4475035040 4710563200 4810662668 4865398400 5063855440 5497900192 5593793800 5787263360 6013328335 6329819300 6392907200 6811557760 6872375240 7234079200 8102168704 8514447200 8590469050 8950070080 9621325336 10127710880 10995800384 11187587600 12026656670 12659638600 12785814400 13744750480 14468158400 17028894400 17180938100 17900140160 19242650672 20255421760 21991600768 22375175200 24053313340 25319277200 27489500960 28936316800 30066641675 34057788800 34361876200 38485301344 40510843520 44750350400 48106626680 50638554400 54979001920 60133283350 68723752400 76970602688 89500700800 96213253360 101277108800 109958003840 120266566700 137447504800 153941205376 192426506720 202554217600 240533133400 274895009600 384853013440 481066266800 549790019200 769706026880 962132533600 1924265067200 3848530134400
- Sum of all divisors σ(n): 11812968921600
- Sum of proper divisors (its aliquot sum) s(n): 7964438787200
- 3848530134400 is an abundant number, because the sum of its proper divisors (7964438787200) is greater than itself. Its abundance is 4115908652800
Bases of 3848530134400
- Binary: 1110000000000011100100010110000101100000002
- Hexadecimal: 0x3800E458580
- Base-36: 1D3ZNH4SG
Squares and roots of 3848530134400
- 3848530134400 squared (38485301344002) is 14811184195384882063360000
- 3848530134400 cubed (38485301344003) is 57001288702087736027031010115584000000
-
The
square root of 3848530134400 is 1961767.0948407713 -
The
cube root of 3848530134400 is 15671.0572488171
Scales and comparisons
How big is 3848530134400?- 3,848,530,134,400 seconds is equal to 122,371 years, 18 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 3,848,530,134,400 would take you about three hundred five thousand, nine hundred twenty-eight 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 3848530134400 cubic inches would be around 1305.9 feet tall.
Recreational maths with 3848530134400
- 3848530134400 backwards is 0044310358483
- 3848530134400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3848530134400's digits is 43
- More coming soon!
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