138232846868480
138,232,846,868,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 138232846868480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138232846868480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138232846868480:
213 × 5 × 73 × 13 × 17 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 13 × 17 × 211 × 211)See below for interesting mathematical facts about the number 138232846868480 from the Numbermatics database.
Names of 138232846868480
- Cardinal: 138232846868480 can be written as One hundred thirty-eight trillion, two hundred thirty-two billion, eight hundred forty-six million, eight hundred sixty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3823284686848 × 1014
Factors of 138232846868480
Divisors of 138232846868480
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 49 52 56 64 65 68 70 80 85 91 98 104 112 119 128 130 136 140 160 170 182 196 208 211 221 224 238 245 256 260 272 280 320 340 343 364 392 416 422 442 448 455 476 490 512 520 544 560 595 637 640 680 686 728 784 832 833 844 884 896 910 952 980 1024 1040 1055 1088 1105 1120 1190 1274 1280 1360 1372 1456 1477 1547 1568 1664 1666 1688 1715 1768 1792 1820 1904 1960 2048 2080 2110 2176 2210 2240 2380 2548 2560 2720 2743 2744 2912 2954 3094 3136 3185 3328 3332 3376 3430 3536 3584 3587 3640 3808 3920 4096 4160 4165 4220 4352 4420 4459 4480 4760 5096 5120 5440 5486 5488 5824 5831 5908 6188 6272 6370 6656 6664 6752 6860 7072 7168 7174 7280 7385 7616 7735 7840 8192 8320 8330 8440 8704 8840 8918 8960 9520 10192 10240 10339 10829 10880 10972 10976 11648 11662 11816 12376 12544 12740 13312 13328 13504 13715 13720 14144 14336 14348 14560 14770 15232 15470 15680 16640 16660 16880 17408 17680 17836 17920 17935 19040 19201 20384 20480 20678 21658 21760 21944 21952 22295 23296 23324 23632 24752 25088 25109 25480 26624 26656 27008 27430 27440 28288 28672 28696 29120 29155 29540 30464 30940 31360 33280 33320 33760 34816 35360 35672 35840 35870 38080 38402 40768 40960 41356 43316 43520 43888 43904 44521 44590 46592 46631 46648 47264 49504 50176 50218 50960 51695 53248 53312 54016 54145 54860 54880 56576 57344 57392 58240 58310 59080 60928 61880 62720 66560 66640 67520 69632 70720 71344 71680 71740 72373 75803 76160 76804 81536 82712 86632 87040 87776 87808 89042 89180 93184 93262 93296 94528 96005 99008 100352 100436 101920 103390 106496 106624 108032 108290 109720 109760 113152 114784 116480 116620 118160 121856 123760 125440 125545 133120 133280 134407 135040 139264 141440 142688 143360 143480 144746 151606 152320 153608 163072 165424 173264 174080 175552 175616 175763 178084 178360 186368 186524 186592 189056 192010 198016 200704 200872 203840 206780 213248 216064 216580 219440 219520 222605 226304 229568 232960 233155 233240 236320 243712 247520 250880 251090 266240 266560 268814 270080 282880 285376 286720 286960 289492 303212 304640 307216 311647 326144 326417 330848 346528 348160 351104 351232 351526 356168 356720 361865 372736 373048 373184 378112 379015 384020 396032 401408 401744 407680 413560 426496 432128 433160 438880 439040 445210 452608 459136 465920 466310 466480 472640 487424 495040 501760 502180 532480 533120 537628 540160 565760 570752 573920 578773 578984 606424 609280 614432 623294 652288 652834 661696 672035 693056 696320 702208 702464 703052 712336 713440 723730 745472 746096 746368 756224 756857 758030 768040 792064 803488 815360 827120 852992 864256 866320 877760 878080 878815 890420 905216 918272 931840 932620 932960 940849 945280 974848 990080 1003520 1004360 1066240 1075256 1080320 1131520 1141504 1147840 1157546 1157968 1212848 1218560 1228864 1230341 1246588 1304576 1305668 1323392 1344070 1386112 1404416 1404928 1406104 1424672 1426880 1447460 1492192 1492736 1512448 1513714 1516060 1536080 1558235 1584128 1606976 1630720 1632085 1654240 1705984 1728512 1732640 1755520 1756160 1757630 1780840 1810432 1836544 1863680 1865240 1865920 1881698 1890560 1980160 2007040 2008720 2132480 2150512 2160640 2181529 2263040 2283008 2284919 2295680 2315092 2315936 2425696 2437120 2457728 2460682 2493176 2609152 2611336 2646784 2688140 2772224 2808832 2809856 2812208 2849344 2853760 2893865 2894920 2984384 2985472 3024896 3027428 3032120 3072160 3116470 3168256 3213952 3261440 3264170 3308480 3411968 3465280 3511040 3512320 3515260 3561680 3673088 3727360 3730480 3731840 3763396 3781120 3784285 3960320 4017440 4051411 4264960 4301024 4321280 4363058 4526080 4566016 4569838 4591360 4630184 4631872 4704245 4851392 4874240 4915456 4921364 4986352 5218304 5222672 5293568 5297999 5376280 5544448 5617664 5624416 5698688 5707520 5787730 5789840 5968768 5970944 6049792 6054856 6064240 6144320 6151705 6232940 6336512 6427904 6522880 6528340 6616960 6823936 6930560 7022080 7024640 7030520 7123360 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8815870336 8935542784 9075160640 9359028224 9494014208 9634293760 9642358180 9773249920 10075280384 10078953472 10236437120 10371612160 10384078040 10850301952 11019837920 11169428480 11698785280 11853271040 11867517760 12594100480 12598691840 12705224896 12765061120 13370040320 13499301452 13562877440 14520257024 15427773088 15500431360 15637199872 15881531120 16378299392 16594579456 16614524864 16874126815 17631740672 17871085568 18150321280 18718056448 18988028416 19268587520 19284716360 19546499840 20150560768 20472874240 20743224320 20768156080 21700603904 22039675840 22338856960 23397570560 23706542080 23735035520 25188200960 25197383680 25410449792 26998602904 27125754880 29040514048 30855546176 31000862720 31274399744 31763062240 32756598784 33189158912 33229049728 33748253630 35263481344 36300642560 37976056832 38537175040 38569432720 39092999680 40301121536 40945748480 41486448640 41536312160 43401207808 44079351680 44677713920 46795141120 47470071040 50376401920 50394767360 50820899584 53997205808 54251509760 58081028096 61711092352 62548799488 63526124480 65513197568 66458099456 67496507260 70526962688 72601285120 75952113664 77138865440 78185999360 80602243072 81891496960 82972897280 83072624320 88158703360 89355427840 93590282240 94940142080 100752803840 101641799168 107994411616 108503019520 116162056192 123422184704 125097598976 127052248960 131026395136 132916198912 134993014520 141053925376 145202570240 151904227328 154277730880 156371998720 163782993920 165945794560 166145248640 176317406720 189880284160 201505607680 203283598336 215988823232 217006039040 232324112384 246844369408 254104497920 265832397824 269986029040 282107850752 290405140480 303808454656 308555461760 312743997440 327565987840 332290497280 352634813440 379760568320 403011215360 406567196672 431977646464 493688738816 508208995840 531664795648 539972058080 564215701504 580810280960 617110923520 625487994880 655131975680 664580994560 705269626880 759521136640 813134393344 863955292928 987377477632 1016417991680 1063329591296 1079944116160 1161620561920 1234221847040 1329161989120 1410539253760 1519042273280 1626268786688 1727910585856 1974754955264 2032835983360 2126659182592 2159888232320 2468443694080 2658323978240 2821078507520 3455821171712 3949509910528 4065671966720 4319776464640 4936887388160 5316647956480 6911642343424 8131343933440 8639552929280 9873774776320 10633295912960 13823284686848 17279105858560 19747549552640 27646569373696 34558211717120 69116423434240 138232846868480
- Sum of all divisors σ(n): 443234174947200
- Sum of proper divisors (its aliquot sum) s(n): 305001328078720
- 138232846868480 is an abundant number, because the sum of its proper divisors (305001328078720) is greater than itself. Its abundance is 166768481210240
Bases of 138232846868480
- Binary: 111110110111000110101111011101111100000000000002
- Hexadecimal: 0x7DB8D7BBE000
- Base-36: 1CZZAJYJ28
Squares and roots of 138232846868480
- 138232846868480 squared (1382328468684802) is 19108319953364640942417510400
- 138232846868480 cubed (1382328468684803) is 2641397466027375306336617948497357832192000
-
The
square root of 138232846868480 is 11757246.5683288279 -
The
cube root of 138232846868480 is 51705.5407077267
Scales and comparisons
How big is 138232846868480?- 138,232,846,868,480 seconds is equal to 4,395,376 years, 49 weeks, 2 days, 3 hours, 1 minute, 20 seconds.
-
To count from 1 to 138,232,846,868,480 would take you about ten million, nine hundred eighty-eight thousand, four hundred forty-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 138232846868480 cubic inches would be around 4308.8 feet tall.
Recreational maths with 138232846868480
- 138232846868480 backwards is 084868648232831
- The number of decimal digits it has is: 15
- The sum of 138232846868480's digits is 71
- More coming soon!
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Cite this page
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"Number 138232846868480 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138232846868480 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138232846868480/
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The information we have on file for 138232846868480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138232846868480, math, Factors of 138232846868480, curriculum, school, college, exams, university, Prime factorization of 138232846868480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred thirty-two billion, eight hundred forty-six million, eight hundred sixty-eight thousand, four hundred eighty.