138315959100
138,315,959,100 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138315959100 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138315959100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138315959100:
22 × 33 × 52 × 112 × 67 × 71 × 89
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 67 × 71 × 89)See below for interesting mathematical facts about the number 138315959100 from the Numbermatics database.
Names of 138315959100
- Cardinal: 138315959100 can be written as One hundred thirty-eight billion, three hundred fifteen million, nine hundred fifty-nine thousand, one hundred.
Scientific notation
- Scientific notation: 1.383159591 × 1011
Factors of 138315959100
Divisors of 138315959100
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 67 71 75 89 90 99 100 108 110 121 132 134 135 142 150 165 178 180 198 201 213 220 225 242 267 268 270 275 284 297 300 330 335 355 356 363 396 402 426 445 450 484 495 534 540 550 594 603 605 639 660 670 675 710 726 737 781 801 804 825 852 890 900 979 990 1005 1065 1068 1089 1100 1188 1206 1210 1278 1335 1340 1350 1420 1452 1474 1485 1562 1602 1650 1675 1775 1780 1809 1815 1917 1958 1980 2010 2130 2178 2211 2225 2343 2403 2412 2420 2475 2556 2670 2700 2937 2948 2970 3015 3025 3124 3195 3204 3267 3300 3350 3550 3618 3630 3685 3834 3905 3916 4005 4020 4260 4356 4422 4450 4686 4757 4806 4895 4950 5025 5325 5340 5445 5874 5940 5963 6030 6050 6319 6390 6534 6633 6675 6700 7029 7100 7236 7260 7370 7425 7668 7810 8010 8107 8591 8811 8844 8900 9045 9075 9372 9514 9585 9612 9790 9900 10050 10650 10769 10890 11055 11715 11748 11926 12015 12060 12100 12638 12780 13068 13266 13350 14058 14271 14685 14740 14850 15075 15620 15975 16020 16214 16335 17182 17622 17889 18090 18150 18425 18957 19028 19170 19525 19580 19899 20025 20100 21087 21300 21538 21780 22110 23430 23785 23852 24030 24321 24475 25276 25773 26433 26532 26700 27225 28116 28542 29370 29700 29815 30150 31595 31950 32307 32428 32670 33165 34364 35145 35244 35778 36180 36300 36850 37914 38340 39050 39798 40050 40535 42174 42813 42955 43076 44055 44220 45225 46860 47570 47925 48060 48642 48950 51546 52327 52866 53667 53845 54450 55275 56871 57084 58575 58740 59630 60075 60300 63190 63900 64614 65340 65593 66330 69509 70290 71355 71556 72963 73425 73700 75828 77319 78100 79596 80100 81070 81675 84348 85626 85910 88110 89445 90450 94785 95140 95850 96921 97284 97900 99495 103092 104654 105435 105732 107334 107690 108900 110550 113742 117150 118925 119260 120150 121605 126380 128439 128865 129228 131186 132165 132660 139018 140580 142710 145926 146850 149075 154638 156981 157975 161001 161535 162140 163350 165825 170613 171252 171820 175725 176220 178890 180900 189570 191700 193842 196779 198990 202675 208527 209308 210870 214065 214668 214775 215380 218889 220275 221100 227484 231957 234300 237850 240300 243210 256878 257730 261635 262372 264330 268335 269225 278036 284355 285420 290763 291852 293700 298150 309276 313962 315950 322002 323070 326700 327965 331650 341226 347545 351450 356775 357780 364815 379140 386595 387684 393558 397980 405350 417054 421740 423373 428130 429550 437778 440550 447225 463914 470943 473925 475700 484605 486420 497475 513756 515460 523270 527175 528660 536670 538450 568710 575597 581526 590337 596300 608025 625581 627924 631900 642195 644004 644325 646140 655930 660825 663300 682452 695090 702900 713550 721523 729630 764599 773190 784905 787116 805005 807675 810700 834108 846746 853065 856260 859100 875556 881100 894450 927828 941886 947850 969210 983895 994950 1042635 1046540 1054350 1070325 1073340 1076900 1094445 1137420 1151194 1159785 1163052 1180674 1216050 1251162 1270119 1284390 1288650 1308175 1311860 1321650 1341675 1390180 1412829 1421775 1427100 1443046 1453815 1459260 1529198 1546380 1569810 1610010 1615350 1639825 1693492 1706130 1726791 1737725 1771011 1788900 1824075 1876743 1883772 1895700 1932975 1938420 1967790 1989900 2085270 2108700 2116865 2140650 2164569 2188890 2293797 2302388 2319570 2354715 2361348 2423025 2432100 2502324 2540238 2568780 2577300 2616350 2643300 2683350 2825658 2843550 2877985 2886092 2907630 2951685 3058396 3127905 3139620 3210975 3220020 3230700 3279650 3412260 3453582 3475450 3542022 3607615 3648150 3753486 3810357 3822995 3865950 3924525 3935580 4025025 4170540 4233730 4265325 4281300 4329138 4377780 4587594 4639140 4657103 4709430 4846050 4919475 5080476 5180373 5213175 5232700 5366700 5472225 5651316 5687100 5755970 5798925 5815260 5903370 6255810 6350595 6421950 6493707 6559300 6881391 6907164 6950900 7064145 7084044 7215230 7269075 7296300 7506972 7620714 7645990 7731900 7849050 8050050 8467460 8530650 8633955 8658276 8855055 9175188 9314206 9383715 9418860 9692100 9838950 10360746 10426350 10584325 10822845 10944450 11431071 11468985 11511940 11597850 11773575 11806740 12511620 12701190 12843900 12987414 13762782 13971309 14128290 14389925 14430460 14538150 14758425 15241428 15291980 15541119 15639525 15698100 16100100 17061300 17267910 17710110 18038075 18628412 18767430 19051785 19114975 19481121 19677900 20644173 20721492 20852700 21168650 21645690 21888900 22862142 22937970 23195700 23285515 23547150 25402380 25901865 25974828 27525564 27942618 28256580 28779850 29076300 29516850 31082238 31279050 31752975 32468535 34406955 34535820 35320725 35420220 36076150 37534860 38103570 38229950 38962242 41288346 41913927 42337300 43169775 43291380 44275275 45724284 45875940 46571030 46918575 47094300 51228133 51803730 54114225 55885236 57155355 57344925 57559700 59033700 62164476 62558100 63505950 64937070 68813910 69856545 70641450 72152300 76207140 76459900 77705595 77924484 82576692 83827854 86339550 88550550 93142060 93837150 95258925 97405605 102456266 103220865 103607460 108228450 114310710 114689850 116427575 125741781 127011900 129509325 129874140 137627820 139713090 141282900 153684399 155411190 162342675 167655708 172034775 172679100 177101100 187674300 190517850 194811210 204912532 206441730 209569635 216456900 228621420 229379700 232855150 251483562 256140665 259018650 279426180 285776775 307368798 310822380 324685350 344069550 349282725 381035700 388527975 389622420 412883460 419139270 461053197 465710300 487028025 502967124 512281330 516104325 518037300 571553550 614737596 628708905 649370700 688139100 698565450 768421995 777055950 838278540 922106394 974056050 1024562660 1032208650 1047848175 1143107100 1257417810 1280703325 1383159591 1397130900 1536843990 1554111900 1844212788 1948112100 2064417300 2095696350 2305265985 2514835620 2561406650 2766319182 3073687980 3143544525 3842109975 4191392700 4610531970 5122813300 5532638364 6287089050 6915797955 7684219950 9221063940 11526329925 12574178100 13831595910 15368439900 23052659850 27663191820 34578989775 46105319700 69157979550 138315959100
- Sum of all divisors σ(n): 508692441600
- Sum of proper divisors (its aliquot sum) s(n): 370376482500
- 138315959100 is an abundant number, because the sum of its proper divisors (370376482500) is greater than itself. Its abundance is 232060523400
Bases of 138315959100
- Binary: 100000001101000100011000001011001111002
- Hexadecimal: 0x2034460B3C
- Base-36: 1RJHR130
Squares and roots of 138315959100
- 138315959100 squared (1383159591002) is 19131304541752872810000
- 138315959100 cubed (1383159591003) is 2646164736526734597895462071000000
-
The
square root of 138315959100 is 371908.5359332317 -
The
cube root of 138315959100 is 5171.5901250329
Scales and comparisons
How big is 138315959100?- 138,315,959,100 seconds is equal to 4,398 years, 1 week, 3 hours, 45 minutes.
-
To count from 1 to 138,315,959,100 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 138315959100 cubic inches would be around 431 feet tall.
Recreational maths with 138315959100
- 138315959100 backwards is 001959513831
- 138315959100 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138315959100's digits is 45
- More coming soon!
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