138144251952
138,144,251,952 is an even composite number composed of six prime numbers multiplied together.
138144251952 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138144251952:
24 × 37 × 72 × 23 × 31 × 113
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 23 × 31 × 113)See below for interesting mathematical facts about the number 138144251952 from the Numbermatics database.
Names of 138144251952
- Cardinal: 138144251952 can be written as One hundred thirty-eight billion, one hundred forty-four million, two hundred fifty-one thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.38144251952 × 1011
Factors of 138144251952
Divisors of 138144251952
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 31 36 42 46 48 49 54 56 62 63 69 72 81 84 92 93 98 108 112 113 124 126 138 144 147 161 162 168 184 186 189 196 207 216 217 226 243 248 252 276 279 294 322 324 336 339 368 372 378 392 414 432 434 441 452 483 486 496 504 552 558 567 588 621 644 648 651 678 713 729 744 756 784 791 828 837 868 882 904 966 972 1008 1017 1104 1116 1127 1134 1176 1242 1288 1296 1302 1323 1356 1426 1449 1458 1488 1512 1519 1582 1656 1674 1701 1736 1764 1808 1863 1932 1944 1953 2034 2139 2187 2232 2254 2268 2352 2373 2484 2511 2576 2599 2604 2646 2712 2852 2898 2916 3024 3038 3051 3164 3312 3348 3381 3402 3472 3503 3528 3726 3864 3888 3906 3969 4068 4278 4347 4374 4464 4508 4536 4557 4746 4968 4991 5022 5103 5198 5208 5292 5424 5537 5589 5704 5796 5832 5859 6076 6102 6328 6417 6696 6762 6804 7006 7056 7119 7452 7533 7728 7797 7812 7938 8136 8556 8694 8748 9016 9072 9114 9153 9492 9936 9982 10044 10143 10206 10396 10416 10509 10584 11074 11178 11408 11592 11664 11718 11907 12152 12204 12656 12834 13041 13392 13524 13608 13671 14012 14238 14904 14973 15066 15309 15594 15624 15876 16272 16611 16767 17112 17388 17496 17577 18032 18193 18228 18306 18984 19251 19964 20088 20286 20412 20792 21018 21168 21357 22148 22356 22599 23184 23391 23436 23814 24304 24408 24521 25668 26082 27048 27216 27342 27459 28024 28476 29808 29946 30132 30429 30618 31188 31248 31527 31752 33222 33534 34224 34776 34937 34992 35154 35721 36386 36456 36612 37968 38502 39123 39928 40176 40572 40824 41013 41584 42036 42714 44296 44712 44919 45198 46782 46872 47628 48816 49042 49833 50301 51336 52164 52731 54096 54579 54684 54918 56048 56952 57753 59892 60264 60858 61236 62376 63054 63504 64071 66444 67068 67797 69552 69874 70173 70308 71442 72772 72912 73224 73563 77004 78246 79856 80569 81144 81648 82026 82377 84072 85428 88592 89424 89838 90396 91287 93564 93744 94581 95256 98084 99666 100602 102672 104328 104811 105462 107163 109158 109368 109836 113904 115506 117369 119784 120528 121716 122472 123039 124752 126108 127351 128142 132888 134136 134757 135594 139748 140346 140616 142884 145544 146448 147126 149499 154008 156492 158193 161138 162288 163737 164052 164754 168144 170856 171647 173259 179676 180792 182574 187128 189162 190512 192213 196168 199332 201204 208656 209622 210519 210924 214326 218316 218736 219672 220689 231012 234738 239568 241707 243432 244944 246078 247131 252216 254702 256284 265776 268272 269514 271188 273861 279496 280692 281232 283743 285768 291088 294252 298998 308016 312984 314433 316386 322276 327474 328104 329508 341712 343294 346518 352107 359352 361584 365148 369117 374256 378324 382053 384426 392336 398664 402408 404271 419244 421038 421848 428652 436632 439344 441378 448497 462024 469476 474579 483414 486864 491211 492156 494262 504432 509404 512568 514941 519777 539028 542376 547722 558992 561384 563983 567486 571536 576639 588504 597996 625968 628866 631557 632772 644552 654948 656208 659016 662067 686588 693036 704214 718704 725121 730296 738234 756648 764106 768852 797328 804816 808542 821583 838488 842076 843696 851229 857304 873264 882756 896994 924048 938952 943299 949158 966828 982422 984312 988524 1018808 1025136 1029882 1039554 1078056 1084752 1095444 1107351 1122768 1127966 1134972 1146159 1153278 1177008 1195992 1212813 1257732 1263114 1265544 1289104 1309896 1318032 1324134 1345491 1373176 1386072 1408428 1450242 1460592 1473633 1476468 1513296 1528212 1537704 1544823 1559331 1617084 1643166 1676976 1684152 1691949 1702458 1714608 1729917 1765512 1793988 1877904 1886598 1894671 1898316 1933656 1964844 1968624 1977048 1986201 2037616 2059764 2079108 2156112 2175363 2190888 2214702 2255932 2269944 2292318 2306556 2391984 2425626 2464749 2515464 2526228 2531088 2553687 2619792 2648268 2690982 2746352 2772144 2816856 2829897 2900484 2947266 2952936 3056424 3075408 3089646 3118662 3234168 3286332 3322053 3368304 3383898 3404916 3438477 3459834 3531024 3587976 3638439 3773196 3789342 3796632 3867312 3929688 3947881 3954096 3972402 4036473 4119528 4158216 4350726 4381776 4420899 4429404 4511864 4539888 4584636 4613112 4634469 4851252 4929498 5030928 5052456 5075847 5107374 5296536 5381964 5633712 5659794 5684013 5800968 5894532 5905872 5958603 6112848 6179292 6237324 6468336 6526089 6572664 6644106 6767796 6809832 6876954 6919668 7175952 7276878 7546392 7578684 7593264 7661061 7859376 7895762 7944804 8072946 8239056 8316432 8489691 8701452 8841798 8858808 9023728 9169272 9226224 9268938 9702504 9858996 10104912 10151694 10214748 10315431 10593072 10763928 10915317 11319588 11368026 11601936 11789064 11843643 11917206 12109419 12358584 12474648 13052178 13145328 13262697 13288212 13535592 13619664 13753908 13839336 13903407 14553756 15092784 15157368 15227541 15322122 15791524 15889608 16145892 16979382 17402904 17683596 17717616 17875809 18338544 18537876 19405008 19578267 19717992 20303388 20429496 20630862 21527856 21830634 22639176 22736052 23578128 23687286 23834412 24218838 24717168 24949296 25469073 26104356 26525394 26576424 27071184 27507816 27678672 27806814 29107512 30314736 30455082 30644244 30946293 31583048 31779216 32291784 33958764 34805808 35367192 35530929 35751618 37075752 39156534 39435984 39788091 40606776 40858992 41261724 41710221 43661268 45278352 45472104 45682623 47374572 47668824 48437676 50938146 52208712 53050788 53152848 53627427 55015632 55613628 58215024 58734801 60910164 61288488 61892586 63166096 64583568 67917528 70734384 71061858 71503236 74151504 76407219 78313068 79576182 81213552 82523448 83420442 87322536 90944208 91365246 92838879 94749144 95337648 96875352 101876292 104417424 106101576 106592787 107254854 111227256 117469602 121820328 122576976 123785172 125130663 135835056 137047869 142123716 143006472 152814438 156626136 159152364 165046896 166840884 174645072 176204403 182730492 185677758 189498288 193750704 203752584 212203152 213185574 214509708 222454512 234939204 243640656 247570344 250261326 274095738 278516637 284247432 286012944 305628876 313252272 318304728 319778361 333681768 352408806 365460984 371355516 375391989 407505168 411143607 426371148 429019416 469878408 495140688 500522652 548191476 557033274 568494864 611257752 636609456 639556722 667363536 704817612 730921968 742711032 750783978 822287214 852742296 858038832 939756816 959335083 1001045304 1096382952 1114066548 1222515504 1233430821 1279113444 1409635224 1485422064 1501567956 1644574428 1705484592 1918670166 2002090608 2192765904 2228133096 2466861642 2558226888 2819270448 2878005249 3003135912 3289148856 3837340332 4456266192 4933723284 5116453776 5756010498 6006271824 6578297712 7674680664 8634015747 9867446568 11512020996 15349361328 17268031494 19734893136 23024041992 34536062988 46048083984 69072125976 138144251952
- Sum of all divisors σ(n): 507430379520
- Sum of proper divisors (its aliquot sum) s(n): 369286127568
- 138144251952 is an abundant number, because the sum of its proper divisors (369286127568) is greater than itself. Its abundance is 231141875616
Bases of 138144251952
- Binary: 100000001010100000101000000000001100002
- Hexadecimal: 0x202A0A0030
- Base-36: 1RGNIR00
Squares and roots of 138144251952
- 138144251952 squared (1381442519522) is 19083834347377655810304
- 138144251952 cubed (1381442519523) is 2636322020294370374753772493713408
-
The
square root of 138144251952 is 371677.6183092009 -
The
cube root of 138144251952 is 5169.4492134851
Scales and comparisons
How big is 138144251952?- 138,144,251,952 seconds is equal to 4,392 years, 29 weeks, 19 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,144,251,952 would take you about eight thousand, seven hundred eighty-five 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 138144251952 cubic inches would be around 430.8 feet tall.
Recreational maths with 138144251952
- 138144251952 backwards is 259152441831
- The number of decimal digits it has is: 12
- The sum of 138144251952's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138144251952 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138144251952/
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The information we have on file for 138144251952 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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