13142131151678100
13,142,131,151,678,100 is an even composite number composed of seven prime numbers multiplied together.
13142131151678100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13142131151678100:
22 × 33 × 52 × 112 × 132 × 23 × 32172
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 13 × 23 × 3217 × 3217)See below for interesting mathematical facts about the number 13142131151678100 from the Numbermatics database.
Names of 13142131151678100
- Cardinal: 13142131151678100 can be written as Thirteen quadrillion, one hundred forty-two trillion, one hundred thirty-one billion, one hundred fifty-one million, six hundred seventy-eight thousand, one hundred.
Scientific notation
- Scientific notation: 1.31421311516781 × 1016
Factors of 13142131151678100
Divisors of 13142131151678100
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 23 25 26 27 30 33 36 39 44 45 46 50 52 54 55 60 65 66 69 75 78 90 92 99 100 108 110 115 117 121 130 132 135 138 143 150 156 165 169 180 195 198 207 220 225 230 234 242 253 260 270 275 276 286 297 299 300 325 330 338 345 351 363 390 396 414 429 450 460 468 484 495 506 507 540 550 572 575 585 594 598 605 621 650 660 675 676 690 702 715 726 759 780 825 828 845 858 897 900 975 990 1012 1014 1035 1089 1100 1150 1170 1188 1196 1210 1242 1265 1287 1300 1350 1380 1404 1430 1452 1485 1495 1518 1521 1573 1650 1690 1716 1725 1755 1794 1815 1859 1950 1980 2028 2070 2145 2178 2277 2300 2340 2420 2475 2484 2530 2535 2574 2691 2700 2783 2860 2925 2970 2990 3025 3036 3042 3105 3146 3217 3267 3289 3300 3380 3450 3510 3575 3588 3630 3718 3795 3861 3887 3900 4140 4225 4290 4356 4485 4554 4563 4719 4950 5060 5070 5148 5175 5382 5445 5566 5577 5850 5940 5980 6050 6084 6210 6292 6325 6434 6435 6534 6578 6831 6900 7020 7150 7260 7425 7436 7475 7590 7605 7722 7774 7865 8073 8349 8450 8580 8775 8970 9075 9108 9126 9295 9438 9651 9867 9900 10140 10350 10725 10764 10890 11132 11154 11385 11661 11700 12100 12420 12650 12675 12868 12870 13068 13156 13455 13662 13915 14157 14300 14850 14950 15180 15210 15444 15525 15548 15730 16085 16146 16335 16445 16698 16731 16900 17550 17940 18150 18252 18590 18876 18975 19302 19305 19435 19734 20449 20700 21450 21780 22308 22425 22770 22815 23322 23595 25047 25300 25350 25740 26910 27225 27324 27830 27885 28314 28953 29601 29700 29900 30420 31050 31460 32170 32175 32292 32670 32890 33396 33462 34155 34983 35100 35387 36179 36300 37180 37950 38025 38604 38610 38870 39325 39468 40365 40898 41745 41821 42471 42757 42900 44850 45540 45630 46475 46644 47190 48255 49335 50094 50193 50700 53820 54450 55660 55770 56628 56925 57906 58305 59202 61347 62100 64340 64350 65340 65780 66924 67275 68310 69575 69966 70774 70785 72358 73991 75141 75900 76050 77220 77740 78650 80425 80730 81675 81796 82225 83490 83642 83655 84942 85514 86859 88803 89700 91260 92950 94380 96510 96525 97175 98670 100188 100386 102245 104949 106161 108537 108900 111540 113850 114075 115812 116610 117975 118404 122694 125235 125463 128271 128700 134550 136620 139150 139425 139932 141548 141570 144716 144765 147982 148005 150282 152100 157300 160850 161460 163350 164450 166980 167284 167310 169884 170775 171028 173718 174915 176935 177606 180895 184041 185900 193020 193050 194350 197340 200772 201825 204490 208725 209105 209898 212322 212355 213785 217074 221973 227700 228150 233220 235950 241275 245388 246675 250470 250926 250965 256542 269100 278300 278850 283140 289530 291525 295964 296010 300564 306735 318483 321700 325611 326700 328900 334620 341550 347436 349830 353870 353925 355212 361790 368082 369955 375705 376389 384813 386100 388700 389257 403650 408980 417450 418210 418275 419796 424644 424710 427570 434148 434295 443946 444015 456300 460031 470327 471900 482550 493350 500940 501852 501930 511225 513084 524745 530805 542685 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1331927754300 1361737763100 1392469924950 1413892539180 1440075734350 1442921733825 1448168721948 1465120529730 1497678763724 1531716917445 1555281793098 1574096436900 1627911699700 1670963909940 1690523688150 1701907686050 1728090881220 1731506080590 1758144635676 1767365673975 1769983993492 1810210902435 1838060300934 1872098454655 1904656688649 1923895645100 1997891631450 2011345447150 2042289223260 2042606644650 2077807296708 2088704887425 2116285209610 2160113601525 2172253082922 2197680794595 2212479991865 2246518145586 2356487565300 2361144655350 2413614536580 2441867549550 2539542251532 2552861529075 2592136321830 2597259120885 2654975990238 2784939849900 2880151468700 2885843467650 2930241059460 3017018170725 3063433834890 3110563586196 3174427814415 3369777218379 3381047376300 3403815372100 3463012161180 3534731347950 3620421804870 3662801324325 3676120601868 3744196909310 3809313377298 3888204482745 3982463985357 3995783262900 4022690894300 4085213289300 4177409774850 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18380603009340 18720984546550 19046566886490 19441022413725 19469823928412 19912319926785 20218663310274 21162852096100 21722530829220 21976807945950 22124799918650 22465181455860 22855880263788 22975753761675 23894783912142 24337279910515 25921363218300 25972591208850 26549759902380 27153163536525 28081476819825 28569850329735 29204735892618 30634338348900 31744278144150 33187199877975 33697772183790 36204218048700 37441969093100 38093133772980 38882044827450 39824639853570 40437326620548 43807103838927 43953615891900 44249599837300 45951507523350 47616417216225 47789567824284 48674559821030 50546658275685 51945182417700 54306327073050 56162953639650 57139700659470 58409471785236 59736959780355 63488556288300 66374399755950 67395544367580 73011839731545 77764089654900 79649279707140 84244430459475 87614207677854 91903015046700 95232834432450 97349119642060 99561599633925 101093316551370 108612654146100 112325907279300 114279401318940 119473919560710 121686399552575 131421311516781 132748799511900 142849251648675 146023679463090 168488860918950 175228415355708 190465668864900 199123199267850 202186633102740 219035519194635 238947839121420 243372799105150 252733291378425 262842623033562 285698503297350 292047358926180 298684798901775 336977721837900 365059198657725 398246398535700 438071038389270 486745598210300 505466582756850 525685246067124 571397006594700 597369597803550 657106557583905 730118397315450 876142076778540 1010933165513700 1095177595973175 1194739195607100 1314213115167810 1460236794630900 2190355191946350 2628426230335620 3285532787919525 4380710383892700 6571065575839050 13142131151678100
- Sum of all divisors σ(n): 52489307151207360
- Sum of proper divisors (its aliquot sum) s(n): 39347175999529260
- 13142131151678100 is an abundant number, because the sum of its proper divisors (39347175999529260) is greater than itself. Its abundance is 26205044847851160
Bases of 13142131151678100
- Binary: 1011101011000010110010110110101110001100101010100101002
- Hexadecimal: 0x2EB0B2DAE32A94
- Base-36: 3LEHVPBXRX0
Squares and roots of 13142131151678100
- 13142131151678100 squared (131421311516781002) is 172715611207907943068446019610000
- 13142131151678100 cubed (131421311516781003) is 2269851214436570172100241335673251117007541000000
-
The
square root of 13142131151678100 is 114639134.4684619467 -
The
cube root of 13142131151678100 is 235987.2823731783
Scales and comparisons
How big is 13142131151678100?- 13,142,131,151,678,100 seconds is equal to 417,879,119 years, 17 weeks, 5 days, 17 hours, 15 minutes.
-
To count from 1 to 13,142,131,151,678,100 would take you about one billion, two hundred fifty-three million, six hundred thirty-seven thousand, three hundred fifty-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 13142131151678100 cubic inches would be around 19665.6 feet tall.
Recreational maths with 13142131151678100
- 13142131151678100 backwards is 00187615113124131
- 13142131151678100 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13142131151678100's digits is 45
- More coming soon!
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The information we have on file for 13142131151678100 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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