138014048480
138,014,048,480 is an even composite number composed of eight prime numbers multiplied together.
138014048480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138014048480:
25 × 5 × 7 × 11 × 17 × 29 × 31 × 733
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 17 × 29 × 31 × 733)See below for interesting mathematical facts about the number 138014048480 from the Numbermatics database.
Names of 138014048480
- Cardinal: 138014048480 can be written as One hundred thirty-eight billion, fourteen million, forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3801404848 × 1011
Factors of 138014048480
Divisors of 138014048480
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 28 29 31 32 34 35 40 44 55 56 58 62 68 70 77 80 85 88 110 112 116 119 124 136 140 145 154 155 160 170 176 187 203 217 220 224 232 238 248 272 280 290 308 310 319 340 341 352 374 385 406 434 440 464 476 493 496 527 544 560 580 595 616 620 638 680 682 733 748 770 812 868 880 899 928 935 952 986 992 1015 1054 1085 1120 1160 1190 1232 1240 1276 1309 1360 1364 1466 1496 1540 1595 1624 1705 1736 1760 1798 1870 1904 1972 2030 2108 2170 2233 2320 2380 2387 2464 2465 2480 2552 2618 2635 2720 2728 2932 2992 3080 3190 3248 3410 3451 3472 3596 3665 3689 3740 3808 3944 4060 4216 4340 4466 4495 4640 4760 4774 4930 4960 5104 5131 5236 5270 5423 5456 5797 5864 5984 6160 6293 6380 6496 6545 6820 6902 6944 7192 7330 7378 7480 7888 8063 8120 8432 8680 8932 8990 9520 9548 9860 9889 10208 10262 10472 10540 10846 10912 11165 11594 11728 11935 12320 12461 12586 12760 13090 13640 13804 14384 14660 14756 14960 15283 15776 16126 16240 16864 17255 17360 17864 17980 18445 19040 19096 19720 19778 20524 20944 21080 21257 21692 22330 22723 23188 23456 23870 24922 25172 25520 25655 26180 27115 27280 27608 28768 28985 29320 29512 29920 30566 31465 32252 32480 34510 34720 35728 35960 36890 37961 38192 39440 39556 40315 40579 41048 41888 42160 42514 43384 44660 45446 46376 47740 49445 49844 50344 51040 51310 52360 54230 54560 55216 56441 57970 58640 59024 61132 62305 62930 64504 69020 69223 71456 71920 73780 75922 76384 76415 78880 79112 80630 81158 82096 84320 85028 86768 87227 89320 90892 92752 95480 98890 99688 100688 102620 104720 106285 106981 108460 110432 112882 113615 115940 117280 118048 122264 124610 125860 129008 137071 138040 138446 143840 147560 148799 151844 152830 158224 159061 161260 162316 164192 168113 170056 173536 174454 178640 181784 185504 189805 190960 197780 199376 201376 202895 205240 209440 212570 213962 216920 225764 227230 231880 233827 244528 249220 249953 251720 258016 274142 276080 276892 282205 295120 297598 303688 305660 316448 318122 322520 324632 336226 340112 346115 348908 357280 361369 363568 379610 381920 386291 395560 398752 405790 410480 425140 427924 433840 436135 451528 454460 463760 467654 489056 498440 499906 503440 534905 548284 552160 553784 564410 590240 595196 607376 611320 636244 645040 649264 658967 672452 680224 685355 692230 697816 722738 727136 743995 759220 772582 791120 795305 811580 820960 840565 850280 855848 867680 872270 903056 908920 927520 935308 959497 996880 999812 1006880 1069810 1096568 1107568 1128820 1169135 1176791 1190392 1214752 1222640 1249765 1272488 1290080 1298528 1317934 1344904 1370710 1384460 1395632 1445476 1487990 1518440 1545164 1582240 1590610 1623160 1636789 1681130 1700560 1711696 1744540 1749671 1806112 1806845 1817840 1870616 1918994 1931455 1993760 1999624 2139620 2193136 2215136 2257640 2338270 2353582 2380784 2445280 2499530 2529583 2544976 2635868 2689808 2704037 2741420 2768920 2791264 2890952 2975980 3036880 3090328 3181220 3246320 3273578 3294835 3362260 3401120 3423392 3489080 3499342 3613690 3635680 3741232 3837988 3862910 3975059 3999248 4249201 4279240 4386272 4515280 4612769 4676540 4707164 4761568 4797485 4999060 5059166 5089952 5271736 5379616 5408074 5482840 5537840 5781904 5883955 5951960 6073760 6180656 6362440 6492640 6547156 6589670 6724520 6978160 6998684 7227380 7248637 7482464 7675976 7725820 7950118 7998496 8183945 8498402 8558480 8748355 9030560 9225538 9353080 9414328 9594970 9998120 10118332 10543472 10816148 10965680 11075680 11202439 11563808 11767910 11903920 12361312 12647915 12724880 13094312 13179340 13449040 13520185 13956320 13997368 14454760 14497274 15351952 15451640 15900236 16367890 16996804 17116960 17496710 18451076 18706160 18828656 19189940 19875295 19996240 20236664 21086944 21246005 21632296 21931360 22404878 23063845 23535820 23807840 25295830 25449760 26188624 26358680 26898080 27040370 27825413 27994736 28909520 28994548 29744407 30703904 30903280 31800472 32735780 33993608 34993420 36243185 36902152 37412320 37657312 38379880 39750590 39992480 40473328 42492010 43264592 44809756 46127690 47071640 50591660 50740459 52377248 52717360 54080740 55650826 55989472 56012195 57819040 57989096 59488814 61806560 63600944 65471560 67987216 69986840 72486370 73804304 76759760 78417073 79501180 80946656 84984020 86529184 89619512 92255380 94143280 101183320 101480918 105434720 108161480 111301652 112024390 115978192 118977628 123226829 127201888 130943120 135974432 139127065 139973680 144972740 147608608 148722035 153519520 156834146 159002360 169968040 179239024 184510760 188286560 202366640 202961836 216322960 222603304 224048780 231956384 237955256 246453658 253702295 261886240 278254130 279947360 289945480 297444070 313668292 318004720 339936080 358478048 369021520 392085365 404733280 405923672 432645920 445206608 448097560 475910512 492907316 507404590 556508260 579890960 594888140 616134145 627336584 636009440 679872160 738043040 784170730 811847344 862587803 890413216 896195120 951821024 985814632 1014809180 1113016520 1159781920 1189776280 1232268290 1254673168 1568341460 1623694688 1725175606 1792390240 1971629264 2029618360 2226033040 2379552560 2464536580 2509346336 3136682920 3450351212 3943258528 4059236720 4312939015 4452066080 4759105120 4929073160 6273365840 6900702424 8118473440 8625878030 9858146320 12546731680 13801404848 17251756060 19716292640 27602809696 34503512120 69007024240 138014048480
- Sum of all divisors σ(n): 460259573760
- Sum of proper divisors (its aliquot sum) s(n): 322245525280
- 138014048480 is an abundant number, because the sum of its proper divisors (322245525280) is greater than itself. Its abundance is 184231476800
Bases of 138014048480
- Binary: 100000001000100100011101000000111000002
- Hexadecimal: 0x20224740E0
- Base-36: 1REI01CW
Squares and roots of 138014048480
- 138014048480 squared (1380140484802) is 19047877577839790310400
- 138014048480 cubed (1380140484803) is 2628874699469085793572579848192000
-
The
square root of 138014048480 is 371502.4205573901 -
The
cube root of 138014048480 is 5167.8246029769
Scales and comparisons
How big is 138014048480?- 138,014,048,480 seconds is equal to 4,388 years, 21 weeks, 5 days, 19 hours, 41 minutes, 20 seconds.
-
To count from 1 to 138,014,048,480 would take you about eight thousand, seven hundred seventy-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 138014048480 cubic inches would be around 430.7 feet tall.
Recreational maths with 138014048480
- 138014048480 backwards is 084840410831
- The number of decimal digits it has is: 12
- The sum of 138014048480's digits is 41
- More coming soon!
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