138075685020
138,075,685,020 is an even composite number composed of eight prime numbers multiplied together.
138075685020 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 138075685020:
22 × 33 × 5 × 7 × 13 × 61 × 73 × 631
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 61 × 73 × 631)See below for interesting mathematical facts about the number 138075685020 from the Numbermatics database.
Names of 138075685020
- Cardinal: 138075685020 can be written as One hundred thirty-eight billion, seventy-five million, six hundred eighty-five thousand and twenty.
Scientific notation
- Scientific notation: 1.3807568502 × 1011
Factors of 138075685020
Divisors of 138075685020
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 35 36 39 42 45 52 54 60 61 63 65 70 73 78 84 90 91 105 108 117 122 126 130 135 140 146 156 180 182 183 189 195 210 219 234 244 252 260 270 273 292 305 315 351 364 365 366 378 390 420 427 438 455 468 511 540 546 549 585 610 630 631 657 702 730 732 756 780 793 819 854 876 910 915 945 949 1022 1092 1095 1098 1170 1220 1260 1262 1281 1314 1365 1404 1460 1533 1586 1638 1647 1708 1755 1820 1830 1890 1893 1898 1971 2044 2135 2190 2196 2340 2379 2457 2524 2555 2562 2628 2730 2745 2847 3066 3155 3172 3276 3285 3294 3510 3660 3780 3786 3796 3843 3942 3965 4095 4270 4380 4417 4453 4599 4745 4758 4914 5110 5124 5460 5490 5551 5679 5694 6132 6310 6405 6570 6588 6643 7020 7137 7572 7665 7686 7884 7930 8190 8203 8235 8540 8541 8834 8906 9198 9465 9490 9516 9828 9855 10220 10980 11102 11358 11388 11529 11895 12285 12620 12810 13140 13251 13286 13359 13797 14235 14274 15330 15372 15860 16380 16406 16470 16653 17037 17082 17668 17812 18396 18930 18980 19215 19710 19929 21411 22085 22204 22265 22716 22995 23058 23790 24570 24609 25620 25623 26502 26572 26718 27594 27755 28395 28470 28548 30660 31171 32812 32940 33215 33306 34074 34164 35685 37860 38430 38491 39420 39753 39858 40077 41015 42705 42822 44170 44530 45990 46063 46116 47580 49140 49218 49959 51246 53004 53436 55188 55510 56790 56940 57421 57645 57889 59787 62342 66255 66430 66612 66795 68148 68985 71370 73827 76860 76982 79506 79716 80154 82030 83265 85185 85410 85644 88340 89060 91980 92126 93513 98436 99645 99918 102492 107055 111020 113580 114842 115290 115473 115778 119259 119574 120231 123045 124684 128115 132510 132860 133590 137970 138189 142740 147654 149877 153964 155855 159012 160308 164060 166530 170370 170820 172263 173667 179361 184252 187026 192455 198765 199290 199836 200385 214110 221481 229684 230315 230580 230946 231556 238518 239148 240462 246090 249795 256230 265020 267180 269437 275940 276378 280539 287105 289445 295308 298935 299754 311710 322441 333060 340740 344526 346419 347334 358722 369135 374052 384910 397530 398580 400770 405223 414567 428220 442962 460630 461892 467565 477036 480924 492180 499590 500383 512460 516789 521001 538874 552756 561078 574210 577365 578890 596295 597870 598819 599508 601155 623420 644882 689052 690945 692838 694668 717444 738270 749385 769820 795060 801540 808311 810446 829134 841617 861315 868335 885924 896805 921260 935130 967323 999180 1000766 1033578 1039257 1042002 1077748 1107405 1122156 1148420 1154730 1157780 1192590 1195740 1197638 1202310 1215669 1243701 1289764 1347185 1381890 1385676 1402695 1476540 1498770 1501149 1550367 1563003 1612205 1616622 1620892 1658268 1683234 1722630 1732095 1736670 1793610 1796457 1870260 1934646 2001532 2026115 2067156 2072835 2078514 2084004 2214810 2309460 2385180 2395276 2404620 2424933 2431338 2487402 2501915 2583945 2605005 2694370 2763780 2805390 2809843 2901969 2994095 2997540 3002298 3100734 3126006 3224410 3233244 3366468 3445260 3464190 3473340 3502681 3587220 3592914 3647007 3869292 4041555 4052230 4145670 4157028 4191733 4208085 4429620 4503447 4836615 4849866 4862676 4974804 5003830 5167890 5196285 5210010 5388740 5389371 5610780 5619686 5803938 5988190 6004596 6078345 6201468 6218505 6252012 6448820 6928380 7005362 7185828 7274799 7294014 7505745 7751835 7815015 8083110 8104460 8291340 8383466 8416170 8429529 8705907 8982285 9006894 9673230 9699732 10007660 10335780 10392570 10420020 10508043 10778742 10941021 11239372 11607876 11976380 12124665 12156690 12437010 12575199 13510341 14010724 14049215 14509845 14549598 14588028 15011490 15503670 15630030 16166220 16168113 16766932 16832340 16859058 17411814 17513405 17964570 18013788 18235035 19346460 19668901 20785140 20958665 21016086 21557484 21882042 22517235 24249330 24313380 24874020 25150398 25288587 26946855 27020682 28098430 29019690 29099196 30022980 31007340 31260060 31524129 32336226 33718116 34823628 35026810 35929140 36373995 36470070 36527959 37725597 39337802 41917330 42032172 42147645 43529535 43764084 45034470 48498660 50300796 50577174 52540215 53893710 54041364 54705105 56196860 58039380 59006703 62875995 63048258 64672452 67551705 70053620 72747990 72940140 73055918 75451194 75865761 78675604 80840565 83834660 84295290 87059070 90068940 94572387 98344505 101154348 105080430 107787420 109410210 109583877 113176791 118013406 125751990 126096516 126442935 135103410 145495980 146111836 150902388 151731522 157620645 161681130 168590580 174118140 177020109 182639795 188627985 189144774 196689010 210160860 218820420 219167754 226353582 236026812 251503980 252885870 255695713 270206820 295033515 303463044 315241290 323362260 328751631 354040218 365279590 377255970 378289548 379328805 393378020 438335508 452707164 472861935 505771740 511391426 531060327 547919385 565883955 590067030 630482580 657503262 708080436 730559180 754511940 758657610 767087139 885100545 945723870 986254893 1022782852 1062120654 1095838770 1131767910 1180134060 1278478565 1315006524 1517315220 1534174278 1643758155 1770201090 1891447740 1972509786 2124241308 2191677540 2263535820 2301261417 2556957130 2655301635 3068348556 3287516310 3540402180 3835435695 3945019572 4602522834 4931274465 5113914260 5310603270 6575032620 6903784251 7670871390 9205045668 9862548930 10621206540 11506307085 13807568502 15341742780 19725097860 23012614170 27615137004 34518921255 46025228340 69037842510 138075685020
- Sum of all divisors σ(n): 545591746560
- Sum of proper divisors (its aliquot sum) s(n): 407516061540
- 138075685020 is an abundant number, because the sum of its proper divisors (407516061540) is greater than itself. Its abundance is 269440376520
Bases of 138075685020
- Binary: 100000001001011111001111000000100111002
- Hexadecimal: 0x2025F3C09C
- Base-36: 1RFIP4F0
Squares and roots of 138075685020
- 138075685020 squared (1380756850202) is 19064894793742252400400
- 138075685020 cubed (1380756850203) is 2632398408480193109502969322008000
-
The
square root of 138075685020 is 371585.3670692645 -
The
cube root of 138075685020 is 5168.5937986383
Scales and comparisons
How big is 138075685020?- 138,075,685,020 seconds is equal to 4,390 years, 19 weeks, 5 days, 4 hours, 57 minutes.
-
To count from 1 to 138,075,685,020 would take you about eight thousand, seven hundred eighty 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 138075685020 cubic inches would be around 430.7 feet tall.
Recreational maths with 138075685020
- 138075685020 backwards is 020586570831
- 138075685020 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138075685020's digits is 45
- More coming soon!
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