138005136720
138,005,136,720 is an even composite number composed of seven prime numbers multiplied together.
138005136720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138005136720:
24 × 34 × 5 × 112 × 37 × 67 × 71
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 37 × 67 × 71)See below for interesting mathematical facts about the number 138005136720 from the Numbermatics database.
Names of 138005136720
- Cardinal: 138005136720 can be written as One hundred thirty-eight billion, five million, one hundred thirty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3800513672 × 1011
Factors of 138005136720
Divisors of 138005136720
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 37 40 44 45 48 54 55 60 66 67 71 72 74 80 81 88 90 99 108 110 111 120 121 132 134 135 142 144 148 162 165 176 180 185 198 201 213 216 220 222 240 242 264 268 270 284 296 297 324 330 333 335 355 360 363 370 396 402 405 407 426 432 440 444 484 495 528 536 540 555 568 592 594 603 605 639 648 660 666 670 710 720 726 737 740 781 792 804 810 814 852 880 888 891 968 990 999 1005 1065 1072 1080 1089 1110 1136 1188 1206 1210 1221 1278 1296 1320 1332 1340 1420 1452 1474 1480 1485 1562 1584 1608 1620 1628 1665 1704 1776 1782 1809 1815 1917 1936 1980 1998 2010 2035 2130 2160 2178 2211 2220 2343 2376 2412 2420 2442 2479 2556 2627 2640 2664 2680 2840 2904 2948 2960 2970 2997 3015 3124 3195 3216 3240 3256 3267 3330 3408 3564 3618 3630 3663 3685 3834 3905 3960 3996 4020 4070 4260 4356 4422 4440 4455 4477 4686 4752 4757 4824 4840 4884 4958 4995 5112 5254 5328 5360 5427 5445 5680 5751 5808 5896 5940 5994 6030 6105 6248 6390 6480 6512 6534 6633 6660 7029 7128 7236 7260 7326 7370 7437 7668 7810 7881 7920 7992 8040 8107 8140 8520 8591 8712 8844 8880 8910 8954 9045 9372 9514 9585 9648 9680 9768 9801 9916 9990 10224 10508 10854 10890 10989 11055 11502 11715 11792 11880 11988 12060 12210 12395 12496 12780 13068 13135 13266 13320 13431 14058 14256 14271 14472 14520 14652 14740 14874 14985 15336 15620 15762 15984 16080 16214 16280 16335 17040 17182 17424 17688 17820 17908 18090 18315 18744 19028 19170 19536 19602 19832 19899 19980 21016 21087 21708 21780 21978 22110 22311 22385 23004 23430 23643 23760 23785 23976 24120 24321 24420 24790 25560 25773 26136 26270 26532 26640 26862 27135 27269 28116 28542 28755 28897 28944 29040 29304 29480 29748 29970 30672 31240 31524 32428 32560 32670 32967 33165 34364 35145 35376 35640 35816 36180 36630 37185 37488 38056 38340 39204 39405 39664 39798 39960 40293 40535 42032 42174 42813 42955 43416 43560 43956 44220 44622 44770 46008 46860 47286 47570 47952 48240 48642 48840 49005 49580 51120 51546 52272 52327 52540 53064 53724 54270 54538 54945 56232 57084 57510 57794 58608 58960 59496 59697 59940 62480 63048 63261 64856 65340 65934 66330 66933 67155 68728 70290 70929 71280 71355 71632 72360 72963 73260 74370 76112 76680 77319 78408 78810 79596 79920 80586 81070 81807 84348 85626 85910 86691 86832 87120 87912 88440 89244 89540 92016 93720 94572 95140 97284 97680 98010 99160 99495 103092 104654 105080 105435 106128 107448 108540 109076 109890 111555 112464 114168 115020 115588 118215 118992 119394 119880 120879 121605 126096 126522 128439 128865 129712 130680 131868 132660 133866 134310 136345 137456 140580 141858 142710 144485 144720 145926 146520 148740 153360 154638 156816 156981 157620 159192 161172 162140 163614 164835 168696 171252 171820 173382 175824 176009 176880 178488 179080 187440 189144 190280 194568 196020 198320 198990 200799 201465 206184 209308 210160 210870 212787 214065 214896 217080 218152 218889 219780 223110 228336 230040 231176 231957 236430 238788 239760 241758 243210 245421 253044 256878 257730 260073 261360 261635 263736 265320 267732 268620 272690 281160 283716 285420 288970 291852 293040 297480 298485 299959 309276 313962 315240 316305 317867 318384 322344 324280 327228 329670 334665 337392 342504 343640 346764 352018 354645 356976 358160 362637 364815 378288 380560 385317 386595 389136 392040 397980 401598 402930 409035 412368 418616 421740 425574 428130 433455 434160 436304 437778 439560 446220 460080 462352 463914 470943 472860 477576 483516 486420 490842 506088 513756 515460 520146 523270 527472 528027 530640 535464 537240 545380 562320 567432 570840 575597 577940 583704 594960 596970 599918 604395 618552 627924 630480 632610 635734 642195 644688 648560 654456 656667 659340 669330 685008 687280 693528 695871 704036 709290 725274 729630 736263 770634 773190 780219 784080 784905 795960 803196 805860 818070 837232 843480 851148 856260 866910 875556 879120 880045 892440 899877 927828 941886 945720 953601 955152 967032 972840 981684 1003995 1012176 1027512 1030920 1040292 1046540 1056054 1063935 1070928 1074480 1090760 1094445 1134864 1141680 1151194 1155880 1159785 1167408 1193940 1199836 1208790 1227105 1237104 1255848 1265220 1271468 1284390 1300365 1308912 1313334 1318680 1338660 1387056 1391742 1408072 1412829 1418580 1450548 1459260 1472526 1499795 1541268 1546380 1560438 1569810 1584081 1589335 1591920 1606392 1611720 1636140 1686960 1702296 1712520 1726791 1733820 1751112 1760090 1784880 1799754 1813185 1855656 1883772 1891440 1907202 1926585 1934064 1936099 1945680 1963368 2007990 2055024 2061840 2080584 2093080 2112108 2127870 2181520 2188890 2208789 2302388 2311760 2319570 2340657 2354715 2387880 2399672 2417580 2454210 2511696 2530440 2542936 2568780 2600730 2626668 2637360 2640135 2677320 2699631 2783484 2816144 2825658 2837160 2860803 2877985 2901096 2918520 2945052 2999590 3082536 3092760 3120876 3139620 3168162 3178670 3212784 3223440 3272280 3283335 3404592 3425040 3453582 3467640 3479355 3502224 3520180 3599508 3626370 3681315 3711312 3767544 3814404 3853170 3872198 3901095 3926736 4015980 4161168 4186160 4224216 4238487 4255740 4377780 4417578 4499385 4604776 4639140 4681314 4709430 4752243 4768005 4775760 4799344 4835160 4908420 5060880 5085872 5137560 5180373 5201460 5253336 5280270 5354640 5399262 5566968 5651316 5674320 5721606 5755970 5802192 5808297 5837040 5890104 5999180 6165072 6185520 6241752 6279240 6336324 6357340 6544560 6566670 6907164 6935280 6958710 7040360 7064145 7199016 7252740 7362630 7535088 7628808 7706340 7744396 7802190 7920405 8031960 8098893 8448432 8476974 8511480 8582409 8633955 8755560 8835156 8998770 9209552 9278280 9362628 9418860 9504486 9536010 9670320 9680495 9816840 10275120 10360746 10402920 10506672 10560540 10798524 11043945 11133936 11302632 11443212 11511940 11616594 11703285 11780208 11998360 12483504 12558480 12672648 12714680 13133340 13498155 13814328 13917420 14080720 14128290 14256729 14304015 14398032 14505480 14725260 15257616 15412680 15488792 15541119 15604380 15840810 16063920 16197786 16953948 17022960 17164818 17267910 17424891 17511120 17670312 17997540 18556560 18725256 18837720 19008972 19072020 19360990 19633680 20721492 20805840 21121080 21192435 21297089 21597048 22087890 22605264 22886424 23023880 23233188 23406570 23761215 23996720 24296679 25345296 25429360 25747227 25901865 26266680 26996310 27628656 27834840 28256580 28513458 28608030 29010960 29041485 29450520 30825360 30977584 31082238 31208760 31681620 32395572 33907896 34329636 34535820 34849782 35340624 35995080 37450512 37675440 38017944 38144040 38721980 40494465 41442984 42242160 42384870 42594178 42912045 43194096 44175780 45772848 46047760 46466376 46623357 46813140 47522430 48593358 51494454 51803730 52274673 52533360 53992620 55669680 56513160 57026916 57216060 58082970 58901040 62164476 62417520 63363240 63891267 64791144 67815792 68659272 69071640 69699564 71283645 71990160 76035888 76288080 77443960 77705595 80988930 82885968 84769740 85188356 85824090 87124455 88351560 92932752 93246714 93626280 95044860 97186716 102988908 103607460 104549346 106485445 107985240 113026320 114053832 114432120 116165940 121483395 124328952 126726480 127782534 128736135 129582288 137318544 138143280 139399128 142567290 154887920 155411190 156824019 161977860 169539480 170376712 171648180 174248910 176703120 186493428 187252560 190089720 191673801 194373432 205977816 207214920 209098692 212970890 215970480 228107664 228864240 232331880 233116785 242966790 248657904 255565068 257472270 261373365 278798256 285134580 310822380 313648038 319456335 323955720 339078960 340753424 343296360 348497820 372986856 380179440 383347602 388746864 411955632 414429840 418197384 425941780 464663760 466233570 485933580 511130136 514944540 522746730 570269160 575021403 621644760 627296076 638912670 647911440 686592720 696995640 745973712 766695204 784120095 836394768 851883560 932467140 958369005 971867160 1022260272 1029889080 1045493460 1140538320 1150042806 1243289520 1254592152 1277825340 1393991280 1533390408 1568240190 1703767120 1725064209 1864934280 1916738010 1943734320 2059778160 2090986920 2300085612 2509184304 2555650680 2875107015 3066780816 3136480380 3450128418 3729868560 3833476020 4181973840 4600171224 5111301360 5750214030 6272960760 6900256836 7666952040 8625321045 9200342448 11500428060 12545921520 13800513672 15333904080 17250642090 23000856120 27601027344 34501284180 46001712240 69002568360 138005136720
- Sum of all divisors σ(n): 556897106304
- Sum of proper divisors (its aliquot sum) s(n): 418891969584
- 138005136720 is an abundant number, because the sum of its proper divisors (418891969584) is greater than itself. Its abundance is 280886832864
Bases of 138005136720
- Binary: 100000001000011011111101000101010100002
- Hexadecimal: 0x2021BF4550
- Base-36: 1RECP100
Squares and roots of 138005136720
- 138005136720 squared (1380051367202) is 19045417761105892358400
- 138005136720 cubed (1380051367203) is 2628365482010934973318595240448000
-
The
square root of 138005136720 is 371490.4261485079 -
The
cube root of 138005136720 is 5167.7133693635
Scales and comparisons
How big is 138005136720?- 138,005,136,720 seconds is equal to 4,388 years, 7 weeks, 16 hours, 12 minutes.
-
To count from 1 to 138,005,136,720 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 138005136720 cubic inches would be around 430.6 feet tall.
Recreational maths with 138005136720
- 138005136720 backwards is 027631500831
- 138005136720 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138005136720's digits is 36
- More coming soon!
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The information we have on file for 138005136720 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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