138330982400
138,330,982,400 is an even composite number composed of six prime numbers multiplied together.
138330982400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138330982400:
211 × 52 × 13 × 37 × 41 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 41 × 137)See below for interesting mathematical facts about the number 138330982400 from the Numbermatics database.
Names of 138330982400
- Cardinal: 138330982400 can be written as One hundred thirty-eight billion, three hundred thirty million, nine hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.383309824 × 1011
Factors of 138330982400
Divisors of 138330982400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 41 50 52 64 65 74 80 82 100 104 128 130 137 148 160 164 185 200 205 208 256 260 274 296 320 325 328 370 400 410 416 481 512 520 533 548 592 640 650 656 685 740 800 820 832 925 962 1024 1025 1040 1066 1096 1184 1280 1300 1312 1370 1480 1517 1600 1640 1664 1781 1850 1924 2048 2050 2080 2132 2192 2368 2405 2560 2600 2624 2665 2740 2960 3034 3200 3280 3328 3425 3562 3700 3848 4100 4160 4264 4384 4736 4810 5069 5120 5200 5248 5330 5480 5617 5920 6068 6400 6560 6656 6850 7124 7400 7585 7696 8200 8320 8528 8768 8905 9472 9620 10138 10240 10400 10496 10660 10960 11234 11840 12025 12136 12800 13120 13312 13325 13700 14248 14800 15170 15392 16400 16640 17056 17536 17810 18944 19240 19721 20276 20800 20992 21320 21920 22468 23680 24050 24272 25345 25600 26240 26624 26650 27400 28085 28496 29600 30340 30784 32800 33280 34112 35072 35620 37888 37925 38480 39442 40552 41600 41984 42640 43840 44525 44936 47360 48100 48544 50690 51200 52480 53300 54800 56170 56992 59200 60680 61568 65600 65897 66560 68224 70144 71240 73021 75776 75850 76960 78884 81104 83200 83968 85280 87680 89050 89872 94720 96200 97088 98605 101380 104960 106600 109600 112340 113984 118400 121360 123136 126725 131200 131794 133120 136448 140288 140425 142480 146042 151700 153920 157768 162208 166400 170560 175360 178100 179744 189440 192400 194176 197210 202760 207829 209920 213200 219200 224680 227968 236800 242720 246272 253450 262400 263588 272896 280576 280850 284960 292084 303400 307840 315536 324416 329485 332800 341120 350720 356200 359488 365105 378880 384800 388352 394420 405520 415658 419840 426400 438400 449360 455936 473600 485440 492544 493025 506900 524800 527176 545792 561700 569920 584168 606800 615680 631072 648832 658970 665600 682240 701440 712400 718976 730210 769600 776704 788840 811040 831316 852800 876800 898720 911872 947200 970880 985088 986050 1013800 1039145 1049600 1054352 1091584 1123400 1139840 1168336 1213600 1231360 1262144 1297664 1317940 1364480 1402880 1424800 1437952 1460420 1539200 1553408 1577680 1622080 1647425 1662632 1705600 1753600 1797440 1823744 1825525 1894400 1941760 1972100 2027600 2078290 2099200 2108704 2246800 2279680 2336672 2427200 2462720 2524288 2595328 2635880 2701777 2728960 2849600 2875904 2920840 3078400 3106816 3155360 3244160 3294850 3325264 3411200 3507200 3594880 3647488 3651050 3883520 3944200 4055200 4156580 4217408 4493600 4559360 4673344 4854400 4925440 5048576 5190656 5195725 5271760 5403554 5457920 5699200 5751808 5841680 6156800 6310720 6488320 6589700 6650528 6822400 7014400 7189760 7302100 7767040 7888400 8110400 8313160 8434816 8987200 9118720 9346688 9708800 10097152 10381312 10391450 10543520 10807108 11398400 11503616 11683360 12313600 12621440 12976640 13179400 13301056 13508885 13644800 14379520 14604200 15534080 15776800 16220800 16626320 16869632 17974400 18237440 18693376 19417600 20194304 20782900 21087040 21614216 22796800 23366720 24627200 25242880 25953280 26358800 26602112 27017770 27289600 28759040 29208400 31553600 32441600 33252640 33739264 35948800 37386752 38835200 40388608 41565800 42174080 43228432 45593600 46733440 50485760 51906560 52717600 53204224 54035540 57518080 58416800 63107200 64883200 66505280 67478528 67544425 71897600 74773504 77670400 83131600 84348160 86456864 91187200 93466880 100971520 105435200 106408448 108071080 116833600 126214400 129766400 133010560 134957056 135088850 143795200 149547008 166263200 168696320 172913728 186933760 201943040 210870400 212816896 216142160 233667200 252428800 259532800 266021120 270177700 287590400 332526400 337392640 345827456 373867520 421740800 425633792 432284320 467334400 504857600 532042240 540355400 665052800 674785280 691654912 747735040 843481600 864568640 934668800 1009715200 1064084480 1080710800 1330105600 1383309824 1686963200 1729137280 1869337600 2128168960 2161421600 2660211200 2766619648 3373926400 3458274560 3738675200 4322843200 5320422400 5533239296 6916549120 8645686400 10640844800 13833098240 17291372800 27666196480 34582745600 69165491200 138330982400
- Sum of all divisors σ(n): 391431353040
- Sum of proper divisors (its aliquot sum) s(n): 253100370640
- 138330982400 is an abundant number, because the sum of its proper divisors (253100370640) is greater than itself. Its abundance is 114769388240
Bases of 138330982400
- Binary: 100000001101010010101101001000000000002
- Hexadecimal: 0x20352B4800
- Base-36: 1RJQP14W
Squares and roots of 138330982400
- 138330982400 squared (1383309824002) is 19135460691749109760000
- 138330982400 cubed (1383309824003) is 2647027076166237927426228224000000
-
The
square root of 138330982400 is 371928.7329583451 -
The
cube root of 138330982400 is 5171.7773570723
Scales and comparisons
How big is 138330982400?- 138,330,982,400 seconds is equal to 4,398 years, 25 weeks, 6 days, 53 minutes, 20 seconds.
-
To count from 1 to 138,330,982,400 would take you about eight thousand, seven hundred ninety-six 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 138330982400 cubic inches would be around 431 feet tall.
Recreational maths with 138330982400
- 138330982400 backwards is 004289033831
- 138330982400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138330982400's digits is 41
- More coming soon!
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