138316300320
138,316,300,320 is an even composite number composed of eight prime numbers multiplied together.
138316300320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138316300320:
25 × 3 × 5 × 112 × 17 × 19 × 73 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 19 × 73 × 101)See below for interesting mathematical facts about the number 138316300320 from the Numbermatics database.
Names of 138316300320
- Cardinal: 138316300320 can be written as One hundred thirty-eight billion, three hundred sixteen million, three hundred thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3831630032 × 1011
Factors of 138316300320
Divisors of 138316300320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 19 20 22 24 30 32 33 34 38 40 44 48 51 55 57 60 66 68 73 76 80 85 88 95 96 101 102 110 114 120 121 132 136 146 152 160 165 170 176 187 190 202 204 209 219 220 228 240 242 255 264 272 285 292 303 304 323 330 340 352 363 365 374 380 404 408 418 438 440 456 480 484 505 510 528 544 561 570 584 605 606 608 627 646 660 680 726 730 748 760 803 808 816 836 876 880 912 935 968 969 1010 1020 1045 1056 1095 1111 1122 1140 1168 1210 1212 1241 1254 1292 1320 1360 1387 1452 1460 1496 1515 1520 1606 1615 1616 1632 1672 1717 1752 1760 1815 1824 1870 1919 1936 1938 2020 2040 2057 2090 2190 2222 2244 2280 2299 2336 2409 2420 2424 2482 2508 2584 2640 2720 2774 2805 2904 2920 2992 3030 3040 3135 3212 3230 3232 3333 3344 3434 3504 3553 3630 3723 3740 3838 3872 3876 4015 4040 4080 4114 4161 4180 4380 4444 4488 4560 4598 4818 4840 4845 4848 4964 5016 5151 5168 5280 5548 5555 5610 5757 5808 5840 5984 6060 6171 6205 6270 6424 6460 6666 6688 6868 6897 6935 7008 7106 7260 7373 7446 7480 7676 7752 8030 8080 8160 8228 8322 8360 8585 8760 8833 8888 8976 9120 9196 9595 9636 9680 9690 9696 9928 10032 10285 10302 10336 10659 11096 11110 11220 11495 11514 11616 11680 12045 12120 12221 12342 12410 12540 12848 12920 13332 13651 13736 13794 13870 14212 14520 14746 14892 14960 15257 15352 15504 16060 16160 16456 16644 16665 16720 17170 17520 17666 17765 17776 17952 18392 18615 18887 19190 19272 19360 19380 19856 20064 20570 20604 20805 21109 21318 22119 22192 22220 22440 22990 23028 23579 24090 24240 24442 24684 24820 25080 25696 25755 25840 26499 26664 27302 27472 27588 27740 28424 28785 29040 29492 29784 29920 30514 30704 30855 31008 32120 32623 32912 33288 33330 33440 34340 34485 35040 35332 35530 35552 36663 36784 36865 37230 37774 38380 38544 38760 39083 39712 40953 41140 41208 41610 42218 42636 44165 44238 44384 44440 44880 45771 45980 46056 47158 48180 48480 48884 49368 49640 50160 51510 51680 52998 53295 53328 54604 54944 55176 55480 56661 56848 57570 58080 58984 59568 61028 61105 61408 61710 63327 64240 65246 65824 66576 66660 68255 68680 68970 70664 70737 71060 73326 73568 73730 74460 75548 76285 76760 77088 77520 78166 81103 81906 82280 82416 83220 84436 85272 88330 88476 88880 89760 91542 91960 92112 94316 94435 96360 97768 97869 98736 99280 100320 103020 105545 105996 106590 106656 109208 110352 110595 110960 113322 113696 115140 117249 117895 117968 119136 122056 122210 123420 125341 126654 128480 130492 132495 133152 133320 136510 137360 137940 140087 141328 141474 142120 146652 147460 148920 150161 151096 152570 153520 155040 156332 162206 163115 163812 164560 164832 166440 167827 168872 170544 176660 176952 177760 183084 183315 183920 184224 188632 188870 192720 195415 195536 195738 197472 198560 204765 206040 207757 211090 211992 213180 218416 220704 221190 221920 226644 228855 230280 232199 234498 235790 235936 243309 244112 244420 246840 250682 253308 259369 260984 264990 266640 273020 274720 275880 280174 282656 282948 283305 284240 293304 294920 297840 300322 302192 305140 307040 312664 316635 324412 326230 327624 329120 332880 335654 337744 341088 353320 353685 353904 358853 366168 366630 367840 376023 377264 377740 385440 390830 391072 391476 405515 409530 412080 415514 420261 422180 423984 426360 436832 442380 450483 453288 457710 460560 464398 468996 471580 486618 488224 488840 489345 493680 501364 503481 506616 518738 521968 529980 533280 546040 551760 560348 565896 566610 568480 586245 586608 589840 595680 600644 604384 610280 623271 625328 626705 633270 648824 652460 655248 665760 671308 675488 696597 700435 706640 707370 707808 717706 732336 733260 750805 752046 754528 755480 778107 781660 782952 811030 819060 824160 831028 839135 840522 844360 847968 852720 884760 892133 900966 906576 915420 921120 928796 937992 943160 973236 977680 978690 987360 1002728 1006962 1013232 1037476 1038785 1043936 1059960 1076559 1092080 1103520 1120696 1131792 1133220 1160995 1172490 1173216 1179680 1201288 1216545 1220560 1246542 1250656 1253410 1266540 1296845 1297648 1304920 1310496 1342616 1378751 1393194 1400870 1413280 1414740 1435412 1464672 1466520 1501610 1504092 1510960 1540957 1556214 1563320 1565904 1622060 1638120 1662056 1678270 1681044 1688720 1705440 1769520 1784266 1794265 1801932 1813152 1830840 1857592 1875984 1880115 1886320 1946472 1955360 1957380 2005456 2013924 2026464 2074952 2077570 2101305 2119920 2153118 2184160 2241392 2252415 2263584 2266440 2321990 2344980 2381479 2402576 2433090 2441120 2493084 2506820 2517405 2533080 2593690 2595296 2609840 2676399 2685232 2757502 2786388 2801740 2829480 2853059 2870824 2933040 3003220 3008184 3021920 3081914 3112428 3116355 3126640 3131808 3244120 3276240 3324112 3356540 3362088 3377440 3482985 3539040 3568532 3588530 3603864 3661680 3715184 3751968 3760230 3772640 3890535 3892944 3914760 3947383 4010912 4027848 4136253 4149904 4155140 4202610 4239840 4306236 4460665 4482784 4504830 4532880 4622871 4643980 4689960 4762958 4805152 4866180 4986168 5013640 5034810 5066160 5187380 5219680 5352798 5370464 5382795 5515004 5572776 5603480 5658960 5706118 5741648 5866080 6006440 6016368 6163828 6224856 6232710 6253280 6488240 6552480 6648224 6713080 6724176 6893755 6965970 7137064 7144437 7177060 7207728 7323360 7430368 7520460 7704785 7781070 7785888 7829520 7894766 8055696 8272506 8299808 8310280 8405220 8559177 8612472 8921330 9009660 9065760 9245742 9287960 9379920 9525916 9732360 9972336 10027280 10069620 10132320 10374760 10705596 10765590 11030008 11145552 11206960 11317920 11412236 11483296 11842149 11907395 12012880 12032736 12327656 12449712 12465420 12976480 13381995 13426160 13448352 13787510 13931940 14265295 14274128 14288874 14354120 14415456 15040920 15166261 15409570 15562140 15659040 15789532 16111392 16545012 16620560 16810440 16950527 17118354 17224944 17842660 18019320 18491484 18575920 18759840 19051832 19464720 19736915 19944672 20054560 20139240 20681265 20749520 21411192 21531180 22060016 22291104 22413920 22824472 23114355 23684298 23814790 24025760 24655312 24899424 24930840 26196269 26763990 26852320 27575020 27863880 28530590 28548256 28577748 28708240 30081840 30332522 30819140 31124280 31579064 33090024 33241120 33620880 33901054 34236708 34449888 35685320 35722185 36038640 36982968 37151840 38103664 38929440 39473830 40278480 41362530 41499040 42795885 42822384 43062360 44120032 45498783 45648944 46228710 47368596 47629580 49310624 49861680 50851581 52392538 53527980 55150040 55727760 57061180 57155496 57416480 59210745 60163680 60665044 61638280 62248560 63158128 66180048 67241760 67802108 68473416 71370640 71444370 72077280 73965936 75831305 76207328 78588807 78947660 80556960 82725060 84752635 85591770 85644768 86124720 90997566 91297888 92457420 94737192 95259160 99723360 101703162 104785076 107055960 110300080 111455520 114122360 114310992 118421490 121330088 123276560 124497120 126316256 130981345 132360096 135604216 136946832 142741280 142888740 147931872 151662610 157177614 157895320 165450120 169505270 171183540 172249440 181995132 184914840 189474384 190518320 203406324 209570152 214111920 220600160 227493915 228244720 228621984 236842980 242660176 246553120 254257905 261962690 271208432 273893664 285777480 288158959 303325220 314355228 315790640 330900240 339010540 342367080 363990264 369829680 378948768 381036640 392944035 406812648 419140304 428223840 454987830 456489440 473685960 485320352 508515810 523925380 542416864 571554960 576317918 606650440 628710456 631581280 661800480 678021080 684734160 727980528 739659360 785888070 813625296 838280608 864476877 909975660 947371920 1017031620 1047850760 1143109920 1152635836 1213300880 1257420912 1356042160 1369468320 1440794795 1455961056 1571776140 1627250592 1728953754 1819951320 1894743840 2034063240 2095701520 2305271672 2426601760 2514841824 2712084320 2881589590 3143552280 3457907508 3639902640 4068126480 4191403040 4322384385 4610543344 5763179180 6287104560 6915815016 7279805280 8136252960 8644768770 9221086688 11526358360 12574209120 13831630032 17289537540 23052716720 27663260064 34579075080 46105433440 69158150160 138316300320
- Sum of all divisors σ(n): 546434138880
- Sum of proper divisors (its aliquot sum) s(n): 408117838560
- 138316300320 is an abundant number, because the sum of its proper divisors (408117838560) is greater than itself. Its abundance is 269801538240
Bases of 138316300320
- Binary: 100000001101000100101101000000001000002
- Hexadecimal: 0x20344B4020
- Base-36: 1RJHYCDC
Squares and roots of 138316300320
- 138316300320 squared (1383163003202) is 19131398934212432102400
- 138316300320 cubed (1383163003203) is 2646184320526254681353167392768000
-
The
square root of 138316300320 is 371908.9946747727 -
The
cube root of 138316300320 is 5171.5943777323
Scales and comparisons
How big is 138316300320?- 138,316,300,320 seconds is equal to 4,398 years, 1 week, 4 days, 2 hours, 32 minutes.
-
To count from 1 to 138,316,300,320 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 138316300320 cubic inches would be around 431 feet tall.
Recreational maths with 138316300320
- 138316300320 backwards is 023003613831
- 138316300320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138316300320's digits is 30
- More coming soon!
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The information we have on file for 138316300320 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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