138996035200
138,996,035,200 is an even composite number composed of seven prime numbers multiplied together.
138996035200 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 138996035200:
27 × 52 × 11 × 19 × 37 × 41 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 19 × 37 × 41 × 137)See below for interesting mathematical facts about the number 138996035200 from the Numbermatics database.
Names of 138996035200
- Cardinal: 138996035200 can be written as One hundred thirty-eight billion, nine hundred ninety-six million, thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.389960352 × 1011
Factors of 138996035200
Divisors of 138996035200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 37 38 40 41 44 50 55 64 74 76 80 82 88 95 100 110 128 137 148 152 160 164 176 185 190 200 205 209 220 274 275 296 304 320 328 352 370 380 400 407 410 418 440 451 475 548 550 592 608 640 656 685 703 704 740 760 779 800 814 820 836 880 902 925 950 1025 1045 1096 1100 1184 1216 1312 1370 1406 1408 1480 1507 1517 1520 1558 1600 1628 1640 1672 1760 1804 1850 1900 2035 2050 2090 2192 2200 2255 2368 2432 2603 2624 2740 2812 2960 3014 3034 3040 3116 3200 3256 3280 3344 3425 3515 3520 3608 3700 3800 3895 4070 4100 4180 4384 4400 4510 4736 5069 5206 5225 5248 5480 5617 5624 5920 6028 6068 6080 6232 6512 6560 6688 6850 7030 7040 7216 7400 7535 7585 7600 7733 7790 8140 8200 8360 8569 8768 8800 9020 10138 10175 10412 10450 10960 11234 11248 11275 11840 12056 12136 12160 12464 13015 13024 13120 13376 13700 14060 14432 14800 15070 15170 15200 15466 15580 16280 16400 16687 16720 17138 17536 17575 17600 18040 19475 20276 20350 20824 20900 21920 22468 22496 22550 23680 24112 24272 24928 25345 26030 26048 26240 26752 27400 28085 28120 28633 28823 28864 29600 30140 30340 30400 30932 31160 32560 32800 33374 33440 34276 35150 35200 36080 37675 37925 38665 38950 40552 40700 41648 41800 42845 43840 44936 44992 45100 48224 48544 49856 50690 52060 52096 54800 55759 56170 56240 57266 57646 57728 59200 60280 60680 60800 61787 61864 62320 65075 65120 65600 66748 66880 68552 70300 72160 75350 75850 77330 77900 81104 81400 83296 83435 83600 85690 87680 89872 89984 90200 96311 96448 97088 99712 101380 104120 106723 109600 111518 112340 112480 114532 115292 118400 120560 121360 123574 123728 124640 126725 130150 130240 131200 133496 133760 137104 140425 140600 143165 144115 144320 150700 151700 154660 155800 162208 162800 166592 166870 167200 171380 179744 180400 192622 192896 193325 194176 202760 207829 208240 213446 214225 219200 223036 224680 224960 229064 230584 241120 242720 247148 247456 249280 253450 260300 260480 266992 274208 278795 280850 281200 286330 288230 288640 301400 303400 308935 309320 311600 317053 324416 325600 333184 333740 334400 342760 359488 360800 385244 386650 405520 415658 416480 417175 426892 428450 438400 446072 449360 449920 458128 461168 481555 482240 485440 494296 494912 498560 506900 520600 533615 533984 548416 557590 561700 562400 572660 576460 602800 606800 617870 618640 623200 634106 648832 651200 667480 668800 685520 715825 718976 720575 721600 770488 773300 811040 831316 832960 834350 853784 856900 892144 898720 916256 922336 963110 964480 970880 988592 989824 1013800 1039145 1041200 1059421 1067230 1067968 1096832 1115180 1123400 1124800 1145320 1152920 1173953 1205600 1213600 1235740 1237280 1246400 1268212 1302400 1334960 1371040 1393975 1431650 1441150 1443200 1540976 1544675 1546600 1585265 1622080 1662632 1665920 1668700 1707568 1713800 1784288 1797440 1832512 1844672 1926220 1977184 2027600 2078290 2082400 2118842 2134460 2135936 2230360 2246800 2249600 2286119 2290640 2305840 2347906 2407775 2411200 2427200 2471480 2474560 2492800 2536424 2668075 2669920 2742080 2787950 2863300 2882300 3081952 3089350 3093200 3170530 3244160 3325264 3337400 3415136 3427600 3568576 3594880 3665024 3689344 3852440 3948751 3954368 4055200 4156580 4164800 4237684 4268920 4460720 4493600 4572238 4581280 4611680 4695812 4815550 4822400 4854400 4942960 4949120 5072848 5195725 5297105 5336150 5339840 5484160 5575900 5726600 5764600 5869765 6163904 6178700 6186400 6341060 6650528 6674800 6830272 6855200 7137152 7704880 7897502 7908736 7926325 8110400 8313160 8329600 8475368 8537840 8921440 8987200 9144476 9162560 9223360 9391624 9631100 9885920 10145696 10391450 10594210 10672300 10679680 11151800 11430595 11453200 11529200 11739530 12327808 12357400 12372800 12682120 13301056 13349600 13660544 13710400 15409760 15795004 15852650 16220800 16626320 16950736 17075680 17842880 17974400 18288952 18325120 18446720 18783248 19262200 19743755 19771840 20291392 20782900 21188420 21344600 22303600 22861190 22906400 23058400 23479060 24714800 24745600 25364240 26485525 26602112 26699200 27420800 29348825 30819520 31590008 31705300 33252640 33901472 34151360 35685760 36577904 37566496 38524400 39487510 39543680 40582784 41565800 42376840 42689200 43436261 44607200 45722380 45812800 46116800 46958120 49429600 50728480 52971050 53398400 57152975 58697650 61639040 63180016 63410600 66505280 67802944 68302720 73155808 75132992 77048800 78975020 83131600 84753680 85378400 86872522 89214400 91444760 91625600 92233600 93916240 98718775 98859200 101456960 105942100 114305950 117395300 126360032 126821200 133010560 135605888 146311616 150265984 154097600 157950040 166263200 169507360 170756800 173745044 178428800 182889520 187832480 197437550 197718400 202913920 211884200 217181305 228611900 234790600 252720064 253642400 292623232 308195200 315900080 332526400 339014720 341513600 347490088 365779040 375664960 394875100 423768400 434362610 457223800 469581200 505440128 507284800 631800160 665052800 678029440 694980176 731558080 751329920 789750200 847536800 868725220 914447600 939162400 1014569600 1085906525 1263600320 1389960352 1463116160 1579500400 1695073600 1737450440 1828895200 1878324800 2171813050 2527200640 2779920704 3159000800 3390147200 3474900880 3657790400 3756649600 4343626100 5559841408 6318001600 6949801760 7315580800 8687252200 12636003200 13899603520 17374504400 27799207040 34749008800 69498017600 138996035200
- Sum of all divisors σ(n): 417854505600
- Sum of proper divisors (its aliquot sum) s(n): 278858470400
- 138996035200 is an abundant number, because the sum of its proper divisors (278858470400) is greater than itself. Its abundance is 139862435200
Bases of 138996035200
- Binary: 100000010111001100111100101110100000002
- Hexadecimal: 0x205CCF2E80
- Base-36: 1RUQNF5S
Squares and roots of 138996035200
- 138996035200 squared (1389960352002) is 19319897801319639040000
- 138996035200 cubed (1389960352003) is 2685389194852627154455134208000000
-
The
square root of 138996035200 is 372821.7203972965 -
The
cube root of 138996035200 is 5180.0522149545
Scales and comparisons
How big is 138996035200?- 138,996,035,200 seconds is equal to 4,419 years, 33 weeks, 3 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,996,035,200 would take you about eight thousand, eight hundred thirty-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 138996035200 cubic inches would be around 431.7 feet tall.
Recreational maths with 138996035200
- 138996035200 backwards is 002530699831
- The number of decimal digits it has is: 12
- The sum of 138996035200's digits is 46
- More coming soon!
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