1338165456260649984
1,338,165,456,260,649,984 is an even composite number composed of five prime numbers multiplied together.
1338165456260649984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 1338165456260649984:
210 × 32 × 11 × 79 × 167088889321
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 79 × 167088889321)See below for interesting mathematical facts about the number 1338165456260649984 from the Numbermatics database.
Names of 1338165456260649984
- Cardinal: 1338165456260649984 can be written as One quintillion, three hundred thirty-eight quadrillion, one hundred sixty-five trillion, four hundred fifty-six billion, two hundred sixty million, six hundred forty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.338165456260649984 × 1018
Factors of 1338165456260649984
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 167088889416
Divisors of 1338165456260649984
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 79 88 96 99 128 132 144 158 176 192 198 237 256 264 288 316 352 384 396 474 512 528 576 632 704 711 768 792 869 948 1024 1056 1152 1264 1408 1422 1536 1584 1738 1896 2112 2304 2528 2607 2816 2844 3072 3168 3476 3792 4224 4608 5056 5214 5632 5688 6336 6952 7584 7821 8448 9216 10112 10428 11264 11376 12672 13904 15168 15642 16896 20224 20856 22752 25344 27808 30336 31284 33792 40448 41712 45504 50688 55616 60672 62568 80896 83424 91008 101376 111232 121344 125136 166848 182016 222464 242688 250272 333696 364032 444928 500544 667392 728064 889856 1001088 1334784 2002176 2669568 4004352 8008704 167088889321 334177778642 501266667963 668355557284 1002533335926 1336711114568 1503800003889 1837977782531 2005066671852 2673422229136 3007600007778 3675955565062 4010133343704 5346844458272 5513933347593 6015200015556 7351911130124 8020266687408 10693688916544 11027866695186 12030400031112 13200022256359 14703822260248 16040533374816 16541800042779 21387377833088 22055733390372 24060800062224 26400044512718 29407644520496 32081066749632 33083600085558 39600066769077 42774755666176 44111466780744 48121600124448 52800089025436 58815289040992 64162133499264 66167200171116 79200133538154 85549511332352 88222933561488 96243200248896 105600178050872 117630578081984 118800200307231 128324266998528 132334400342232 145200244819949 158400267076308 171099022664704 176445867122976 192486400497792 211200356101744 235261156163968 237600400614462 256648533997056 264668800684464 290400489639898 316800534152616 352891734245952 384972800995584 422400712203488 435600734459847 470522312327936 475200801228924 513297067994112 529337601368928 580800979279796 633601068305232 705783468491904 769945601991168 844801424406976 871201468919694 941044624655872 950401602457848 1058675202737856 1161601958559592 1267202136610464 1306802203379541 1411566936983808 1539891203982336 1689602848813952 1742402937839388 1882089249311744 1900803204915696 2117350405475712 2323203917119184 2534404273220928 2613604406759082 2823133873967616 3379205697627904 3484805875678776 3801606409831392 4234700810951424 4646407834238368 5068808546441856 5227208813518164 5646267747935232 6758411395255808 6969611751357552 7603212819662784 8469401621902848 9292815668476736 10137617092883712 10454417627036328 13516822790511616 13939223502715104 15206425639325568 16938803243805696 18585631336953472 20275234185767424 20908835254072656 27878447005430208 30412851278651136 37171262673906944 40550468371534848 41817670508145312 55756894010860416 60825702557302272 74342525347813888 83635341016290624 111513788021720832 121651405114604544 148685050695627776 167270682032581248 223027576043441664 334541364065162496 446055152086883328 669082728130324992 1338165456260649984
- Sum of all divisors σ(n): 4268546336397832320
- Sum of proper divisors (its aliquot sum) s(n): 2930380880137182336
- 1338165456260649984 is an abundant number, because the sum of its proper divisors (2930380880137182336) is greater than itself. Its abundance is 1592215423876532352
Bases of 1338165456260649984
- Binary: 10010100100100001111001100100011111110001110101010100000000002
- Hexadecimal: 0x12921E647F1D5400
- Base-36: A6042BYHDKW0
Squares and roots of 1338165456260649984
- 1338165456260649984 squared (13381654562606499842) is 1790686788329273545459443822159200256
- 1338165456260649984 cubed (13381654562606499843) is 2396235203124560294835509908141676420060251128179195904
-
The
square root of 1338165456260649984 is 1156791016.6752895319 -
The
cube root of 1338165456260649984 is 1101970.4231784001
Scales and comparisons
How big is 1338165456260649984?- 1,338,165,456,260,649,984 seconds is equal to 42,549,522,291 years, 29 weeks, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 1,338,165,456,260,649,984 would take you about one hundred forty-eight billion, nine hundred twenty-three million, three hundred twenty-eight thousand and twenty 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 1338165456260649984 cubic inches would be around 91830.9 feet tall.
Recreational maths with 1338165456260649984
- 1338165456260649984 backwards is 4899460626545618331
- The number of decimal digits it has is: 19
- The sum of 1338165456260649984's digits is 90
- More coming soon!
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