138332313600
138,332,313,600 is an even composite number composed of five prime numbers multiplied together.
138332313600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138332313600:
211 × 3 × 52 × 132 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 73 × 73)See below for interesting mathematical facts about the number 138332313600 from the Numbermatics database.
Names of 138332313600
- Cardinal: 138332313600 can be written as One hundred thirty-eight billion, three hundred thirty-two million, three hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 1.383323136 × 1011
Factors of 138332313600
Divisors of 138332313600
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 73 75 78 80 96 100 104 120 128 130 146 150 156 160 169 192 195 200 208 219 240 256 260 292 300 312 320 325 338 365 384 390 400 416 438 480 507 512 520 584 600 624 640 650 676 730 768 780 800 832 845 876 949 960 975 1014 1024 1040 1095 1168 1200 1248 1280 1300 1352 1460 1536 1560 1600 1664 1690 1752 1825 1898 1920 1950 2028 2048 2080 2190 2336 2400 2496 2535 2560 2600 2704 2847 2920 3072 3120 3200 3328 3380 3504 3650 3796 3840 3900 4056 4160 4225 4380 4672 4745 4800 4992 5070 5120 5200 5329 5408 5475 5694 5840 6144 6240 6400 6656 6760 7008 7300 7592 7680 7800 8112 8320 8450 8760 9344 9490 9600 9984 10140 10240 10400 10658 10816 10950 11388 11680 12337 12480 12675 12800 13312 13520 14016 14235 14600 15184 15360 15600 15987 16224 16640 16900 17520 18688 18980 19200 19968 20280 20800 21316 21632 21900 22776 23360 23725 24674 24960 25350 25600 26624 26645 27040 28032 28470 29200 30368 30720 31200 31974 32448 33280 33800 35040 37011 37376 37960 38400 39936 40560 41600 42632 43264 43800 45552 46720 47450 49348 49920 50700 51200 53290 54080 56064 56940 58400 60736 61685 62400 63948 64896 66560 67600 69277 70080 71175 74022 74752 75920 76800 79872 79935 81120 83200 85264 86528 87600 91104 93440 94900 98696 99840 101400 106580 108160 112128 113880 116800 121472 123370 124800 127896 129792 133120 133225 135200 138554 140160 142350 148044 149504 151840 153600 159870 162240 166400 170528 173056 175200 182208 185055 186880 189800 197392 199680 202800 207831 213160 216320 224256 227760 233600 242944 246740 249600 255792 259584 266450 270400 277108 280320 284700 296088 303680 308425 319740 324480 332800 341056 346112 346385 350400 364416 370110 373760 379600 394784 399360 399675 405600 415662 426320 432640 448512 455520 467200 485888 493480 499200 511584 519168 532900 540800 554216 560640 569400 592176 607360 616850 639480 648960 665600 682112 692770 700800 728832 740220 747520 759200 789568 799350 811200 831324 852640 865280 900601 911040 925275 934400 971776 986960 998400 1023168 1038336 1039155 1065800 1081600 1108432 1121280 1138800 1184352 1214720 1233700 1278960 1297920 1364224 1385540 1401600 1457664 1480440 1518400 1579136 1598700 1622400 1662648 1705280 1730560 1731925 1801202 1822080 1850550 1868800 1943552 1973920 1996800 2046336 2078310 2131600 2163200 2216864 2242560 2277600 2368704 2429440 2467400 2557920 2595840 2701803 2728448 2771080 2803200 2915328 2960880 3036800 3158272 3197400 3244800 3325296 3410560 3463850 3602404 3644160 3701100 3737600 3947840 4092672 4156620 4263200 4326400 4433728 4503005 4555200 4737408 4858880 4934800 5115840 5191680 5195775 5403606 5456896 5542160 5606400 5830656 5921760 6073600 6316544 6394800 6489600 6650592 6821120 6927700 7204808 7288320 7402200 7895680 8185344 8313240 8526400 8652800 8867456 9006010 9110400 9474816 9717760 9869600 10231680 10391550 10807212 10913792 11084320 11212800 11843520 12147200 12633088 12789600 12979200 13301184 13509015 13642240 13855400 14409616 14576640 14804400 15791360 16370688 16626480 17052800 17734912 18012020 18220800 18949632 19739200 20463360 20783100 21614424 22168640 22515025 23687040 24294400 25266176 25579200 25958400 26602368 27018030 27284480 27710800 28819232 29153280 29608800 31582720 32741376 33252960 34105600 35469824 36024040 36441600 37899264 39478400 40926720 41566200 43228848 44337280 45030050 47374080 48588800 51158400 53204736 54036060 54568960 55421600 57638464 59217600 63165440 66505920 67545075 68211200 70939648 72048080 72883200 75798528 78956800 81853440 83132400 86457696 88674560 90060100 94748160 102316800 106409472 108072120 110843200 115276928 118435200 126330880 133011840 135090150 136422400 141879296 144096160 145766400 157913600 163706880 166264800 172915392 177349120 180120200 189496320 204633600 212818944 216144240 221686400 230553856 236870400 266023680 270180300 272844800 288192320 315827200 332529600 345830784 354698240 360240400 378992640 409267200 425637888 432288480 443372800 461107712 473740800 532047360 540360600 576384640 631654400 665059200 691661568 709396480 720480800 818534400 864576960 886745600 922215424 947481600 1064094720 1080721200 1152769280 1330118400 1383323136 1440961600 1729153920 1773491200 1844430848 1894963200 2128189440 2161442400 2305538560 2660236800 2766646272 2881923200 3458307840 3546982400 4322884800 4611077120 5320473600 5533292544 5763846400 6916615680 8645769600 9222154240 10640947200 11527692800 13833231360 17291539200 23055385600 27666462720 34583078400 46110771200 69166156800 138332313600
- Sum of all divisors σ(n): 502066967220
- Sum of proper divisors (its aliquot sum) s(n): 363734653620
- 138332313600 is an abundant number, because the sum of its proper divisors (363734653620) is greater than itself. Its abundance is 225402340020
Bases of 138332313600
- Binary: 100000001101010011111110011000000000002
- Hexadecimal: 0x20353F9800
- Base-36: 1RJRHKAO
Squares and roots of 138332313600
- 138332313600 squared (1383323136002) is 19135828985928744960000
- 138332313600 cubed (1383323136003) is 2647103496277465135061139456000000
-
The
square root of 138332313600 is 371930.5225441979 -
The
cube root of 138332313600 is 5171.7939468671
Scales and comparisons
How big is 138332313600?- 138,332,313,600 seconds is equal to 4,398 years, 28 weeks, 10 hours, 40 minutes.
-
To count from 1 to 138,332,313,600 would take you about eight thousand, seven hundred ninety-seven 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 138332313600 cubic inches would be around 431 feet tall.
Recreational maths with 138332313600
- 138332313600 backwards is 006313233831
- The number of decimal digits it has is: 12
- The sum of 138332313600's digits is 33
- More coming soon!
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The information we have on file for 138332313600 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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