138358438400
138,358,438,400 is an even composite number composed of six prime numbers multiplied together.
138358438400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138358438400:
29 × 52 × 72 × 13 × 71 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 71 × 239)See below for interesting mathematical facts about the number 138358438400 from the Numbermatics database.
Names of 138358438400
- Cardinal: 138358438400 can be written as One hundred thirty-eight billion, three hundred fifty-eight million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.383584384 × 1011
Factors of 138358438400
Divisors of 138358438400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 71 80 91 98 100 104 112 128 130 140 142 160 175 182 196 200 208 224 239 245 256 260 280 284 320 325 350 355 364 392 400 416 448 455 478 490 497 512 520 560 568 637 640 650 700 710 728 784 800 832 896 910 923 956 980 994 1040 1120 1136 1195 1225 1274 1280 1300 1400 1420 1456 1568 1600 1664 1673 1775 1792 1820 1846 1912 1960 1988 2080 2240 2272 2275 2390 2450 2485 2548 2560 2600 2800 2840 2912 3107 3136 3185 3200 3328 3346 3479 3550 3584 3640 3692 3824 3920 3976 4160 4480 4544 4550 4615 4780 4900 4970 5096 5200 5600 5680 5824 5975 6214 6272 6370 6400 6461 6656 6692 6958 7100 7280 7384 7648 7840 7952 8320 8365 8960 9088 9100 9230 9560 9800 9940 10192 10400 11200 11360 11648 11711 11950 12425 12428 12544 12740 12800 12922 13384 13916 14200 14560 14768 15296 15535 15680 15904 15925 16640 16730 16969 17395 17920 18176 18200 18460 19120 19600 19880 20384 20800 21749 22400 22720 23075 23296 23422 23900 24850 24856 25088 25480 25844 26768 27832 28400 29120 29536 30592 31070 31360 31808 31850 32305 33280 33460 33938 34790 36352 36400 36920 38240 39200 39760 40768 41600 41825 43498 44800 45227 45440 46150 46592 46844 47800 49700 49712 50960 51688 53536 55664 56800 58240 58555 59072 61184 62140 62720 63616 63700 64610 66920 67876 69580 72800 73840 76480 77675 78400 79520 81536 83200 83650 84845 86975 86996 89600 90454 90880 92300 93688 95600 99400 99424 101920 103376 107072 108745 111328 113600 116480 117110 118144 118783 122368 124280 125440 127232 127400 129220 133840 135752 139160 145600 147680 152243 152960 155350 156800 159040 161525 163072 166400 167300 169690 173950 173992 180908 181760 184600 187376 191200 198800 198848 203840 206752 214144 217490 220597 222656 226135 227200 232960 234220 236288 237566 248560 254464 254800 258440 267680 271504 278320 291200 292775 295360 304486 305920 310700 313600 318080 323050 326144 334600 339380 347900 347984 361816 369200 374752 382400 397600 397696 407680 413504 424225 428288 434980 441194 445312 452270 454400 468440 472576 475132 497120 509600 516880 535360 543008 543725 556640 582400 585550 590720 593915 608972 611840 621400 627200 636160 646100 669200 678760 695800 695968 723632 738400 749504 761215 764800 795200 795392 815360 827008 831481 848450 856576 869960 882388 890624 904540 908800 936880 950264 994240 1019200 1033760 1070720 1086016 1087450 1102985 1113280 1130675 1164800 1171100 1181440 1187830 1217944 1242800 1272320 1292200 1338400 1357520 1391600 1391936 1447264 1476800 1499008 1522430 1529600 1544179 1590400 1590784 1630720 1654016 1662962 1696900 1739920 1764776 1781248 1809080 1873760 1900528 1988480 2038400 2067520 2141440 2172032 2174900 2205970 2226560 2261350 2342200 2362880 2375660 2435888 2485600 2584400 2676800 2715040 2783200 2783872 2894528 2953600 2969575 2998016 3044860 3059200 3088358 3180800 3308032 3325924 3393800 3479840 3529552 3618160 3747520 3801056 3806075 3976960 4076800 4135040 4157405 4282880 4344064 4349800 4411940 4453120 4522700 4684400 4751320 4871776 4971200 5168800 5353600 5430080 5514925 5566400 5567744 5789056 5907200 5939150 5996032 6089720 6176716 6361600 6651848 6787600 6959680 7059104 7236320 7495040 7602112 7612150 7720895 7953920 8153600 8270080 8314810 8688128 8699600 8823880 8906240 9045400 9368800 9502640 9743552 9942400 10337600 10707200 10809253 10860160 11029850 11132800 11135488 11578112 11814400 11878300 12179440 12353432 13303696 13575200 13919360 14118208 14472640 14990080 15204224 15224300 15441790 16540160 16629620 17399200 17647760 18090800 18737600 19005280 19487104 19884800 20675200 20787025 21414400 21618506 21720320 22059700 22265600 23156224 23756600 24358880 24706864 26607392 27150400 27838720 28236416 28945280 29980160 30408448 30448600 30883580 33259240 34798400 35295520 36181600 37475200 38010560 38604475 38974208 39769600 41350400 41574050 43237012 43440640 44119400 44531200 47513200 48717760 49413728 53214784 54046265 54300800 55677440 56472832 57890560 60816896 60897200 61767160 66518480 69596800 70591040 72363200 74950400 76021120 77208950 77948416 82700800 83148100 86474024 88238800 95026400 97435520 98827456 106429568 108092530 108601600 112945664 115781120 121794400 123534320 133036960 139193600 141182080 144726400 149900800 152042240 154417900 166296200 172948048 176477600 190052800 194871040 197654912 212859136 216185060 217203200 243588800 247068640 266073920 270231325 278387200 282364160 289452800 304084480 308835800 332592400 345896096 352955200 380105600 389742080 395309824 425718272 432370120 487177600 494137280 532147840 540462650 564728320 578905600 617671600 665184800 691792192 705910400 760211200 790619648 864740240 974355200 988274560 1064295680 1080925300 1235343200 1330369600 1383584384 1411820800 1520422400 1729480480 1948710400 1976549120 2128591360 2161850600 2470686400 2660739200 2767168768 2823641600 3458960960 3953098240 4323701200 4941372800 5321478400 5534337536 6917921920 8647402400 9882745600 10642956800 13835843840 17294804800 19765491200 27671687680 34589609600 69179219200 138358438400
- Sum of all divisors σ(n): 437304510720
- Sum of proper divisors (its aliquot sum) s(n): 298946072320
- 138358438400 is an abundant number, because the sum of its proper divisors (298946072320) is greater than itself. Its abundance is 160587633920
Bases of 138358438400
- Binary: 100000001101101100111000111010000000002
- Hexadecimal: 0x2036CE3A00
- Base-36: 1RK71IBK
Squares and roots of 138358438400
- 138358438400 squared (1383584384002) is 19143057476486594560000
- 138358438400 cubed (1383584384003) is 2648603538648129941855535104000000
-
The
square root of 138358438400 is 371965.6414240435 -
The
cube root of 138358438400 is 5172.1195000569
Scales and comparisons
How big is 138358438400?- 138,358,438,400 seconds is equal to 4,399 years, 19 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,358,438,400 would take you about eight thousand, seven hundred ninety-eight 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 138358438400 cubic inches would be around 431 feet tall.
Recreational maths with 138358438400
- 138358438400 backwards is 004834853831
- The number of decimal digits it has is: 12
- The sum of 138358438400's digits is 47
- More coming soon!
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