138085774176
138,085,774,176 is an even composite number composed of five prime numbers multiplied together.
What does the number 138085774176 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
138085774176 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138085774176:
25 × 3 × 75 × 23 × 612
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 23 × 61 × 61)See below for interesting mathematical facts about the number 138085774176 from the Numbermatics database.
Names of 138085774176
- Cardinal: 138085774176 can be written as One hundred thirty-eight billion, eighty-five million, seven hundred seventy-four thousand, one hundred seventy-six.
Scientific notation
- Scientific notation: 1.38085774176 × 1011
Factors of 138085774176
Divisors of 138085774176
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 61 69 84 92 96 98 112 122 138 147 161 168 183 184 196 224 244 276 294 322 336 343 366 368 392 427 483 488 552 588 644 672 686 732 736 784 854 966 976 1029 1104 1127 1176 1281 1288 1372 1403 1464 1568 1708 1932 1952 2058 2208 2254 2352 2401 2562 2576 2744 2806 2928 2989 3381 3416 3721 3864 4116 4209 4508 4704 4802 5124 5152 5488 5612 5856 5978 6762 6832 7203 7442 7728 7889 8232 8418 8967 9016 9604 9821 10248 10976 11163 11224 11956 13524 13664 14406 14884 15456 15778 16464 16807 16836 17934 18032 19208 19642 20496 20923 22326 22448 23667 23912 26047 27048 28812 29463 29768 31556 32928 33614 33672 35868 36064 38416 39284 40992 41846 44652 44896 47334 47824 50421 52094 54096 55223 57624 58926 59536 62769 63112 67228 67344 68747 71736 76832 78141 78568 83692 85583 89304 94668 95648 100842 104188 108192 110446 115248 117852 119072 125538 126224 134456 134688 137494 143472 146461 156282 157136 165669 167384 171166 178608 182329 189336 201684 206241 208376 220892 230496 235704 251076 252448 256749 268912 274988 286944 292922 312564 314272 331338 334768 342332 357216 364658 378672 386561 403368 412482 416752 439383 441784 471408 481229 502152 513498 537824 546987 549976 585844 599081 625128 662676 669536 684664 729316 757344 773122 806736 824964 833504 878766 883568 942816 962458 1004304 1025227 1026996 1093974 1099952 1159683 1171688 1198162 1250256 1276303 1325352 1369328 1443687 1458632 1546244 1613472 1649928 1757532 1767136 1797243 1924916 2008608 2050454 2053992 2187948 2199904 2319366 2343376 2396324 2500512 2552606 2650704 2738656 2887374 2917264 3075681 3092488 3299856 3368603 3515064 3594486 3828909 3849832 4100908 4107984 4193567 4375896 4638732 4686752 4792648 5105212 5301408 5774748 5834528 6151362 6184976 6599712 6737206 7030128 7188972 7657818 7699664 8201816 8215968 8387134 8751792 8934121 9277464 9585296 10105809 10210424 11549496 12302724 12369952 12580701 13474412 14060256 14377944 15315636 15399328 16403632 16774268 17503584 17868242 18554928 19170592 20211618 20420848 23098992 23580221 24605448 25161402 26802363 26948824 28755888 29354969 30631272 32807264 33548536 35736484 37109856 40423236 40841696 46197984 47160442 49210896 50322804 53604726 53897648 57511776 58709938 61262544 62538847 67097072 70740663 71472968 80846472 88064907 94320884 98421792 100645608 107209452 107795296 117419876 122525088 125077694 134194144 141481326 142945936 161692944 176129814 187616541 188641768 201291216 205484783 214418904 234839752 250155388 282962652 285891872 323385888 352259628 375233082 377283536 402582432 410969566 428837808 469679504 500310776 565925304 616454349 704519256 750466164 754567072 821939132 857675616 939359008 1000621552 1131850608 1232908698 1409038512 1438393481 1500932328 1643878264 2001243104 2263701216 2465817396 2818077024 2876786962 3001864656 3287756528 4315180443 4931634792 5753573924 6003729312 6575513056 8630360886 9863269584 11507147848 17260721772 19726539168 23014295696 34521443544 46028591392 69042887088 138085774176
- Sum of all divisors σ(n): 448622883072
- Sum of proper divisors (its aliquot sum) s(n): 310537108896
- 138085774176 is an abundant number, because the sum of its proper divisors (310537108896) is greater than itself. Its abundance is 172451334720
Bases of 138085774176
- Binary: 100000001001101000110110110011011000002
- Hexadecimal: 0x20268DB360
- Base-36: 1RFOPD9C
Squares and roots of 138085774176
- 138085774176 squared (1380857741762) is 19067681029785268478976
- 138085774176 cubed (1380857741763) is 2632975496738927712959410939723776
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The
square root of 138085774176 is 371598.9426465043 -
The
cube root of 138085774176 is 5168.7196848605
Scales and comparisons
How big is 138085774176?- 138,085,774,176 seconds is equal to 4,390 years, 36 weeks, 2 days, 23 hours, 29 minutes, 36 seconds.
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To count from 1 to 138,085,774,176 would take you about eight thousand, seven hundred eighty-one 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 138085774176 cubic inches would be around 430.7 feet tall.
Recreational maths with 138085774176
- 138085774176 backwards is 671477580831
- The number of decimal digits it has is: 12
- The sum of 138085774176's digits is 57
- More coming soon!
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