138391105568768
138,391,105,568,768 is an even composite number composed of four prime numbers multiplied together.
138391105568768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 138391105568768:
220 × 132 × 83 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 83 × 97 × 97)See below for interesting mathematical facts about the number 138391105568768 from the Numbermatics database.
Names of 138391105568768
- Cardinal: 138391105568768 can be written as One hundred thirty-eight trillion, three hundred ninety-one billion, one hundred five million, five hundred sixty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38391105568768 × 1014
Factors of 138391105568768
Divisors of 138391105568768
- Number of divisors d(n): 378
-
Complete list of divisors:
1 2 4 8 13 16 26 32 52 64 83 97 104 128 166 169 194 208 256 332 338 388 416 512 664 676 776 832 1024 1079 1261 1328 1352 1552 1664 2048 2158 2522 2656 2704 3104 3328 4096 4316 5044 5312 5408 6208 6656 8051 8192 8632 9409 10088 10624 10816 12416 13312 14027 16102 16384 16393 17264 18818 20176 21248 21632 24832 26624 28054 32204 32768 32786 34528 37636 40352 42496 43264 49664 53248 56108 64408 65536 65572 69056 75272 80704 84992 86528 99328 104663 106496 112216 122317 128816 131072 131144 138112 150544 161408 169984 173056 198656 209326 212992 224432 244634 257632 262144 262288 276224 301088 322816 339968 346112 397312 418652 425984 448864 489268 515264 524288 524576 552448 602176 645632 679936 692224 780947 794624 837304 851968 897728 978536 1030528 1048576 1049152 1104896 1204352 1291264 1359872 1360619 1384448 1561894 1589248 1590121 1674608 1703936 1795456 1957072 2061056 2098304 2209792 2408704 2582528 2719744 2721238 2768896 3123788 3178496 3180242 3349216 3407872 3590912 3914144 4122112 4196608 4419584 4817408 5165056 5439488 5442476 5537792 6247576 6356992 6360484 6698432 6815744 7181824 7828288 8244224 8393216 8839168 9634816 10152311 10330112 10878976 10884952 11075584 12495152 12713984 12720968 13396864 13631488 14363648 15656576 16488448 16786432 17678336 19269632 20304622 20660224 21757952 21769904 22151168 24990304 25427968 25441936 26793728 28727296 31313152 32976896 33572864 35356672 38539264 40609244 41320448 43515904 43539808 44302336 49980608 50855936 50883872 53587456 57454592 62626304 65953792 67145728 70713344 77078528 81218488 82640896 87031808 87079616 88604672 99961216 101711872 101767744 107174912 114909184 125252608 131907584 131980043 134291456 141426688 154157056 162436976 165281792 174159232 177209344 199922432 203535488 214349824 229818368 250505216 263815168 263960086 268582912 282853376 308314112 324873952 330563584 348318464 399844864 407070976 428699648 459636736 501010432 527630336 527920172 537165824 565706752 616628224 649747904 661127168 696636928 799689728 814141952 857399296 919273472 1002020864 1055260672 1055840344 1074331648 1131413504 1233256448 1299495808 1322254336 1393273856 1599379456 1628283904 1714798592 1838546944 2004041728 2110521344 2111680688 2148663296 2466512896 2598991616 2786547712 3198758912 3256567808 3429597184 3677093888 4008083456 4221042688 4223361376 4297326592 4933025792 5197983232 5573095424 6397517824 6513135616 6859194368 7354187776 8016166912 8442085376 8446722752 8594653184 9866051584 10395966464 11146190848 12795035648 13026271232 13718388736 14708375552 16032333824 16893445504 17189306368 20791932928 22292381696 25590071296 26052542464 27436777472 32064667648 33786891008 41583865856 44584763392 51180142592 52105084928 54873554944 64129335296 67573782016 83167731712 89169526784 102360285184 104210169856 109747109888 128258670592 135147564032 166335463424 178339053568 204720570368 208420339712 270295128064 332670926848 356678107136 409441140736 416840679424 540590256128 665341853696 713356214272 818882281472 833681358848 1081180512256 1330683707392 1426712428544 1667362717696 2162361024512 2661367414784 4324722049024 5322734829568 8649444098048 10645469659136 17298888196096 34597776392192 69195552784384 138391105568768
- Sum of all divisors σ(n): 306481010970204
- Sum of proper divisors (its aliquot sum) s(n): 168089905401436
- 138391105568768 is an abundant number, because the sum of its proper divisors (168089905401436) is greater than itself. Its abundance is 29698799832668
Bases of 138391105568768
- Binary: 111110111011101101100001011000000000000000000002
- Hexadecimal: 0x7DDDB0B00000
- Base-36: 1D1ZZV3PQ8
Squares and roots of 138391105568768
- 138391105568768 squared (1383911055687682) is 19152098100545889340777037824
- 138391105568768 cubed (1383911055687683) is 2650480030096047261529140211665229769080832
-
The
square root of 138391105568768 is 11763974.9051401841 -
The
cube root of 138391105568768 is 51725.2652306885
Scales and comparisons
How big is 138391105568768?- 138,391,105,568,768 seconds is equal to 4,400,409 years, 4 weeks, 3 days, 1 hour, 6 minutes, 8 seconds.
-
To count from 1 to 138,391,105,568,768 would take you about eleven million, one thousand and twenty-two 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 138391105568768 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138391105568768
- 138391105568768 backwards is 867865501193831
- The number of decimal digits it has is: 15
- The sum of 138391105568768's digits is 71
- More coming soon!
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