138340312320
138,340,312,320 is an even composite number composed of seven prime numbers multiplied together.
138340312320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138340312320:
28 × 3 × 5 × 72 × 31 × 37 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 31 × 37 × 641)See below for interesting mathematical facts about the number 138340312320 from the Numbermatics database.
Names of 138340312320
- Cardinal: 138340312320 can be written as One hundred thirty-eight billion, three hundred forty million, three hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3834031232 × 1011
Factors of 138340312320
Divisors of 138340312320
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 37 40 42 48 49 56 60 62 64 70 74 80 84 93 96 98 105 111 112 120 124 128 140 147 148 155 160 168 185 186 192 196 210 217 222 224 240 245 248 256 259 280 294 296 310 320 336 370 372 384 392 420 434 444 448 465 480 490 496 518 555 560 588 592 620 640 641 651 672 735 740 744 768 777 784 840 868 888 896 930 960 980 992 1036 1085 1110 1120 1147 1176 1184 1240 1280 1282 1295 1302 1344 1470 1480 1488 1519 1554 1568 1680 1736 1776 1792 1813 1860 1920 1923 1960 1984 2072 2170 2220 2240 2294 2352 2368 2480 2564 2590 2604 2688 2940 2960 2976 3038 3108 3136 3205 3255 3360 3441 3472 3552 3626 3720 3840 3846 3885 3920 3968 4144 4340 4440 4480 4487 4557 4588 4704 4736 4960 5128 5180 5208 5376 5439 5735 5880 5920 5952 6076 6216 6272 6410 6510 6720 6882 6944 7104 7252 7440 7595 7692 7770 7840 7936 8029 8288 8680 8880 8960 8974 9065 9114 9176 9408 9472 9615 9920 10256 10360 10416 10878 11470 11760 11840 11904 12152 12432 12544 12820 13020 13440 13461 13764 13888 14208 14504 14880 15190 15384 15540 15680 16058 16576 17205 17360 17760 17948 18130 18228 18352 18816 19230 19840 19871 20512 20720 20832 21756 22435 22785 22940 23520 23680 23717 23808 24087 24304 24864 25640 26040 26880 26922 27195 27528 27776 28416 29008 29760 30380 30768 31080 31360 31409 32116 33152 34410 34720 35520 35896 36260 36456 36704 37632 38460 39680 39742 40145 41024 41440 41664 43512 44870 45570 45880 47040 47360 47434 48174 48608 49728 51280 52080 53844 54390 55056 55552 56203 58016 59520 59613 60760 61536 62160 62720 62818 64232 66304 67305 68820 69440 71040 71151 71792 72520 72912 73408 76920 79484 80290 82048 82880 83328 87024 89740 91140 91760 94080 94227 94868 96348 97216 99355 99456 102560 104160 107688 108780 110112 112406 116032 118585 119040 119226 120435 121520 123072 124320 125636 128464 134610 137640 138880 139097 142080 142302 143584 145040 145824 146816 153840 157045 158968 160580 164096 165760 166019 166656 168609 174048 179480 182280 183520 188160 188454 189736 192696 194432 198710 198912 205120 208320 215376 217560 220224 224812 232064 237170 238452 240870 243040 246144 248640 251272 256928 269220 275280 277760 278194 281015 284604 287168 290080 291648 293632 298065 307680 314090 317936 321160 331520 332038 337218 348096 355755 358960 364560 367040 376908 379472 385392 388864 397420 410240 416640 417291 430752 435120 440448 449624 464128 471135 474340 476904 481740 486080 492288 497280 498057 502544 513856 538440 550560 556388 562030 569208 574336 580160 583296 596130 615360 628180 635872 642320 664076 674436 695485 696192 711510 717920 729120 734080 735227 753816 758944 770784 794840 820480 830095 833280 834582 843045 861504 870240 880896 899248 942270 948680 953808 963480 972160 973679 994560 996114 1005088 1027712 1076880 1101120 1112776 1124060 1138416 1148672 1160320 1162133 1166592 1192260 1230720 1256360 1271744 1284640 1328152 1348872 1390970 1392384 1423020 1435840 1458240 1468160 1470454 1507632 1517888 1541568 1589680 1660190 1669164 1686090 1723008 1740480 1798496 1884540 1897360 1907616 1926960 1944320 1947358 1992228 2010176 2055424 2086455 2153760 2202240 2205681 2225552 2248120 2276832 2320640 2324266 2384520 2461440 2490285 2512720 2543488 2569280 2656304 2697744 2781940 2846040 2871680 2916480 2921037 2940908 3015264 3035776 3083136 3179360 3320380 3338328 3372180 3446016 3480960 3486399 3596992 3676135 3769080 3794720 3815232 3853920 3894716 3984456 4020352 4172910 4307520 4404480 4411362 4451104 4496240 4553664 4648532 4769040 4868395 4980570 5025440 5086976 5138560 5146589 5312608 5395488 5563880 5692080 5743360 5810665 5832960 5842074 5881816 6030528 6071552 6166272 6358720 6640760 6676656 6744360 6961920 6972798 7193984 7352270 7538160 7589440 7630464 7707840 7789432 7968912 8040704 8345820 8615040 8822724 8902208 8992480 9107328 9297064 9538080 9736790 9961140 10050880 10277120 10293178 10625216 10790976 11028405 11127760 11384160 11621330 11684148 11763632 12061056 12717440 13281520 13353312 13488720 13945596 14387968 14605185 14704540 15076320 15178880 15260928 15415680 15439767 15578864 15937824 16691640 17230080 17431995 17645448 17804416 17984960 18214656 18594128 19076160 19473580 19922280 20101760 20586356 21250432 21581952 22056810 22255520 22768320 23242660 23368296 23527264 24122112 25434880 25732945 26563040 26706624 26977440 27891192 29210370 29409080 30152640 30357760 30831360 30879534 31157728 31875648 33383280 34863990 35290896 35608832 35969920 36026123 37188256 38152320 38947160 39844560 40203520 41172712 42500864 43163904 44113620 44511040 45536640 46485320 46736592 47054528 51465890 53126080 53413248 53954880 55782384 58420740 58818160 60305280 61759068 62315456 63751296 66766560 69727980 70581792 71939840 72052246 74376512 76304640 77198835 77894320 79689120 82345424 88227240 89022080 91073280 92970640 93473184 94109056 102931780 106252160 106826496 107909760 108078369 111564768 116841480 117636320 120610560 123518136 124630912 127502592 133533120 139455960 141163584 144104492 148753024 154397670 155788640 159378240 164690848 176454480 178044160 180130615 185941280 186946368 188218112 205863560 212504320 215819520 216156738 223129536 233682960 235272640 247036272 249261824 267066240 278911920 282327168 288208984 297506048 308795340 311577280 318756480 329381696 352908960 360261230 371882560 373892736 411727120 432313476 446259072 467365920 470545280 494072544 534132480 540391845 557823840 564654336 576417968 617590680 623154560 637512960 658763392 705817920 720522460 743765120 747785472 823454240 864626952 892518144 934731840 941090560 988145088 1080783690 1115647680 1152835936 1235181360 1246309120 1317526784 1411635840 1441044920 1487530240 1646908480 1729253904 1869463680 1976290176 2161567380 2231295360 2305671872 2470362720 2823271680 2882089840 3293816960 3458507808 3738927360 3952580352 4323134760 4462590720 4611343744 4940725440 5764179680 6587633920 6917015616 8646269520 9222687488 9881450880 11528359360 13834031232 17292539040 19762901760 23056718720 27668062464 34585078080 46113437440 69170156160 138340312320
- Sum of all divisors σ(n): 545727200256
- Sum of proper divisors (its aliquot sum) s(n): 407386887936
- 138340312320 is an abundant number, because the sum of its proper divisors (407386887936) is greater than itself. Its abundance is 269046575616
Bases of 138340312320
- Binary: 100000001101011011100110100101000000002
- Hexadecimal: 0x2035B9A500
- Base-36: 1RJW905C
Squares and roots of 138340312320
- 138340312320 squared (1383403123202) is 19138042012795143782400
- 138340312320 cubed (1383403123203) is 2647562709243361627036522119168000
-
The
square root of 138340312320 is 371941.2753648081 -
The
cube root of 138340312320 is 5171.8936269617
Scales and comparisons
How big is 138340312320?- 138,340,312,320 seconds is equal to 4,398 years, 41 weeks, 2 days, 32 minutes.
-
To count from 1 to 138,340,312,320 would take you about eight thousand, seven hundred ninety-seven 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 138340312320 cubic inches would be around 431 feet tall.
Recreational maths with 138340312320
- 138340312320 backwards is 023213043831
- 138340312320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138340312320's digits is 30
- More coming soon!
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