138280919040
138,280,919,040 is an even composite number composed of five prime numbers multiplied together.
138280919040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred eighty-four divisors.
Prime factorization of 138280919040:
213 × 36 × 5 × 11 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 421)See below for interesting mathematical facts about the number 138280919040 from the Numbermatics database.
Names of 138280919040
- Cardinal: 138280919040 can be written as One hundred thirty-eight billion, two hundred eighty million, nine hundred nineteen thousand and forty.
Scientific notation
- Scientific notation: 1.3828091904 × 1011
Factors of 138280919040
Divisors of 138280919040
- Number of divisors d(n): 784
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 81 88 90 96 99 108 110 120 128 132 135 144 160 162 165 176 180 192 198 216 220 240 243 256 264 270 288 297 320 324 330 352 360 384 396 405 421 432 440 480 486 495 512 528 540 576 594 640 648 660 704 720 729 768 792 810 842 864 880 891 960 972 990 1024 1056 1080 1152 1188 1215 1263 1280 1296 1320 1408 1440 1458 1485 1536 1584 1620 1684 1728 1760 1782 1920 1944 1980 2048 2105 2112 2160 2304 2376 2430 2526 2560 2592 2640 2673 2816 2880 2916 2970 3072 3168 3240 3368 3456 3520 3564 3645 3789 3840 3888 3960 4096 4210 4224 4320 4455 4608 4631 4752 4860 5052 5120 5184 5280 5346 5632 5760 5832 5940 6144 6315 6336 6480 6736 6912 7040 7128 7290 7578 7680 7776 7920 8019 8192 8420 8448 8640 8910 9216 9262 9504 9720 10104 10240 10368 10560 10692 11264 11367 11520 11664 11880 12288 12630 12672 12960 13365 13472 13824 13893 14080 14256 14580 15156 15360 15552 15840 16038 16840 16896 17280 17820 18432 18524 18945 19008 19440 20208 20480 20736 21120 21384 22528 22734 23040 23155 23328 23760 24576 25260 25344 25920 26730 26944 27648 27786 28160 28512 29160 30312 30720 31104 31680 32076 33680 33792 34101 34560 35640 36864 37048 37890 38016 38880 40095 40416 40960 41472 41679 42240 42768 45056 45468 46080 46310 46656 47520 50520 50688 51840 53460 53888 55296 55572 56320 56835 57024 58320 60624 61440 62208 63360 64152 67360 67584 68202 69120 69465 71280 73728 74096 75780 76032 77760 80190 80832 82944 83358 84480 85536 90112 90936 92160 92620 93312 95040 101040 101376 102303 103680 106920 107776 110592 111144 112640 113670 114048 116640 121248 122880 124416 125037 126720 128304 134720 135168 136404 138240 138930 142560 148192 151560 152064 155520 160380 161664 165888 166716 168960 170505 171072 181872 184320 185240 186624 190080 202080 202752 204606 207360 208395 213840 215552 221184 222288 225280 227340 228096 233280 242496 248832 250074 253440 256608 269440 270336 272808 276480 277860 285120 296384 303120 304128 306909 311040 320760 323328 331776 333432 337920 341010 342144 363744 368640 370480 373248 375111 380160 404160 405504 409212 414720 416790 427680 431104 444576 450560 454680 456192 466560 484992 497664 500148 506880 511515 513216 538880 545616 552960 555720 570240 592768 606240 608256 613818 622080 625185 641520 646656 663552 666864 675840 682020 684288 727488 740960 746496 750222 760320 808320 811008 818424 829440 833580 855360 862208 889152 909360 912384 933120 969984 995328 1000296 1013760 1023030 1026432 1077760 1091232 1105920 1111440 1125333 1140480 1185536 1212480 1216512 1227636 1244160 1250370 1283040 1293312 1333728 1351680 1364040 1368576 1454976 1481920 1492992 1500444 1520640 1534545 1616640 1636848 1658880 1667160 1710720 1724416 1778304 1818720 1824768 1866240 1875555 1939968 1990656 2000592 2027520 2046060 2052864 2155520 2182464 2222880 2250666 2280960 2371072 2424960 2433024 2455272 2488320 2500740 2566080 2586624 2667456 2728080 2737152 2909952 2963840 2985984 3000888 3041280 3069090 3233280 3273696 3317760 3334320 3375999 3421440 3448832 3556608 3637440 3649536 3732480 3751110 3879936 4001184 4055040 4092120 4105728 4311040 4364928 4445760 4501332 4561920 4742144 4849920 4910544 4976640 5001480 5132160 5173248 5334912 5456160 5474304 5626665 5819904 5927680 5971968 6001776 6082560 6138180 6466560 6547392 6668640 6751998 6842880 7113216 7274880 7299072 7464960 7502220 7759872 8002368 8184240 8211456 8622080 8729856 8891520 9002664 9123840 9484288 9699840 9821088 9953280 10002960 10264320 10346496 10669824 10912320 10948608 11253330 11639808 11855360 12003552 12165120 12276360 12933120 13094784 13337280 13503996 13685760 14226432 14549760 14929920 15004440 15519744 16004736 16368480 16422912 16879995 17244160 17459712 17783040 18005328 18247680 18968576 19399680 19642176 20005920 20528640 21339648 21824640 21897216 22506660 23279616 23710720 24007104 24552720 25866240 26189568 26674560 27007992 27371520 28452864 29099520 29859840 30008880 31039488 32009472 32736960 32845824 33759990 34919424 35566080 36010656 36495360 37937152 38799360 39284352 40011840 41057280 42679296 43649280 45013320 46559232 47421440 48014208 49105440 51732480 52379136 53349120 54015984 54743040 56905728 58199040 60017760 64018944 65473920 65691648 67519980 69838848 71132160 72021312 77598720 78568704 80023680 82114560 85358592 87298560 90026640 93118464 94842880 96028416 98210880 104758272 106698240 108031968 109486080 113811456 116398080 120035520 128037888 130947840 135039960 139677696 142264320 144042624 155197440 157137408 160047360 164229120 170717184 174597120 180053280 189685760 192056832 196421760 209516544 213396480 216063936 232796160 240071040 256075776 261895680 270079920 279355392 284528640 288085248 314274816 320094720 328458240 341434368 349194240 360106560 384113664 392843520 419033088 426792960 432127872 465592320 480142080 512151552 523791360 540159840 569057280 576170496 628549632 640189440 698388480 720213120 768227328 785687040 838066176 853585920 864255744 960284160 1024303104 1047582720 1080319680 1152340992 1257099264 1280378880 1396776960 1440426240 1536454656 1571374080 1707171840 1728511488 1920568320 2095165440 2160639360 2304681984 2514198528 2560757760 2880852480 3072909312 3142748160 3457022976 3841136640 4190330880 4321278720 4609363968 5121515520 5761704960 6285496320 6914045952 7682273280 8642557440 9218727936 11523409920 12570992640 13828091904 15364546560 17285114880 23046819840 27656183808 34570229760 46093639680 69140459520 138280919040
- Sum of all divisors σ(n): 544074711696
- Sum of proper divisors (its aliquot sum) s(n): 405793792656
- 138280919040 is an abundant number, because the sum of its proper divisors (405793792656) is greater than itself. Its abundance is 267512873616
Bases of 138280919040
- Binary: 100000001100100010111101100000000000002
- Hexadecimal: 0x20322F6000
- Base-36: 1RIWW000
Squares and roots of 138280919040
- 138280919040 squared (1382809190402) is 19121612570547034521600
- 138280919040 cubed (1382809190403) is 2644154159782060769193454731264000
-
The
square root of 138280919040 is 371861.4245118737 -
The
cube root of 138280919040 is 5171.1533758827
Scales and comparisons
How big is 138280919040?- 138,280,919,040 seconds is equal to 4,396 years, 47 weeks, 14 hours, 24 minutes.
-
To count from 1 to 138,280,919,040 would take you about eight thousand, seven hundred ninety-three 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 138280919040 cubic inches would be around 430.9 feet tall.
Recreational maths with 138280919040
- 138280919040 backwards is 040919082831
- 138280919040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138280919040's digits is 45
- More coming soon!
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