138774025728
138,774,025,728 is an even composite number composed of seven prime numbers multiplied together.
138774025728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138774025728:
29 × 32 × 13 × 17 × 29 × 37 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 29 × 37 × 127)See below for interesting mathematical facts about the number 138774025728 from the Numbermatics database.
Names of 138774025728
- Cardinal: 138774025728 can be written as One hundred thirty-eight billion, seven hundred seventy-four million, twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38774025728 × 1011
Factors of 138774025728
Divisors of 138774025728
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 29 32 34 36 37 39 48 51 52 58 64 68 72 74 78 87 96 102 104 111 116 117 127 128 136 144 148 153 156 174 192 204 208 221 222 232 234 254 256 261 272 288 296 306 312 333 348 377 381 384 408 416 442 444 464 468 481 493 508 512 522 544 576 592 612 624 629 663 666 696 754 762 768 816 832 884 888 928 936 962 986 1016 1044 1073 1088 1131 1143 1152 1184 1224 1248 1258 1326 1332 1392 1443 1479 1508 1524 1536 1632 1651 1664 1768 1776 1856 1872 1887 1924 1972 1989 2032 2088 2146 2159 2176 2262 2286 2304 2368 2448 2496 2516 2652 2664 2784 2886 2958 3016 3048 3219 3264 3302 3328 3393 3536 3552 3683 3712 3744 3774 3848 3944 3978 4064 4176 4292 4318 4329 4352 4437 4524 4572 4608 4699 4736 4896 4953 4992 5032 5304 5328 5568 5661 5772 5916 6032 6096 6409 6438 6477 6528 6604 6656 6786 7072 7104 7366 7424 7488 7548 7696 7888 7956 8128 8177 8352 8584 8636 8658 8704 8874 9048 9144 9398 9472 9657 9792 9906 9984 10064 10608 10656 11049 11136 11322 11544 11832 12064 12192 12818 12876 12954 13056 13208 13572 13949 14097 14144 14208 14732 14848 14859 14976 15096 15392 15776 15912 16256 16354 16704 17168 17272 17316 17748 18096 18241 18288 18796 18944 19227 19314 19431 19584 19812 19968 20128 21216 21312 22098 22272 22644 23088 23664 24128 24384 24531 25636 25752 25908 26112 26416 27144 27898 28067 28194 28288 28416 29464 29718 29952 30192 30784 31552 31824 32512 32708 33147 33408 34336 34544 34632 35496 36192 36482 36576 37592 38454 38628 38862 39168 39624 40256 41847 42291 42432 42624 44196 44544 45288 46176 47328 47879 48256 48768 49062 51272 51504 51816 52832 54288 54723 55796 56134 56388 56576 56832 57681 58928 59436 59904 60384 61087 61568 62611 63104 63648 65024 65416 66294 66816 68672 69088 69264 70992 72384 72964 73152 73593 75184 76908 77256 77724 78336 79248 79883 80512 83694 84201 84582 84864 85248 88392 90576 92352 94656 95758 96512 97536 98124 102544 103008 103632 105664 108576 109446 111592 112268 112776 113152 115362 117856 118872 120768 122174 123136 125222 125541 126208 127296 130832 132588 133632 136271 137344 138176 138528 141984 143637 144768 145928 146304 147186 150368 153816 154512 155448 158496 159766 161024 164169 167388 168402 169164 169728 170496 176784 181152 183261 184704 187833 189312 191516 193024 195072 196248 205088 206016 207264 211328 217152 218892 223184 224536 225552 230724 235712 237133 237744 239649 241536 244348 246272 250444 251082 252416 252603 254592 261664 265176 272542 274688 276352 277056 283968 287274 289536 291856 292608 294372 300736 307632 309024 310896 316992 319532 322048 328338 334776 336804 338328 339456 353568 362304 366522 369408 375666 378624 383032 392496 408813 410176 412032 414528 422656 430911 434304 437784 446368 449072 451104 461448 471424 474266 475488 479298 483072 488696 500888 502164 505206 509184 523328 530352 545084 549376 549783 552704 554112 563499 567936 574548 579072 583712 585216 588744 601472 615264 618048 621792 633984 639064 656676 669552 673608 676656 707136 711399 718947 724608 733044 738816 751332 757248 766064 784992 813943 817626 820352 824064 829056 845312 861822 868608 875568 892736 898144 902208 922896 942848 948532 950976 958596 966144 977392 1001776 1004328 1010412 1018368 1038479 1046656 1060704 1090168 1099566 1105408 1108224 1126998 1135872 1149096 1167424 1177488 1202944 1226439 1230528 1236096 1243584 1267968 1278128 1313352 1339104 1347216 1353312 1414272 1422798 1437894 1449216 1466088 1502664 1532128 1569984 1627886 1635252 1640704 1648128 1658112 1723644 1737216 1751136 1771523 1785472 1796288 1804416 1845792 1885696 1897064 1901952 1917192 1954784 2003552 2008656 2020824 2076958 2093312 2121408 2134197 2180336 2199132 2216448 2253996 2271744 2298192 2316607 2334848 2354976 2405888 2441829 2452878 2461056 2472192 2487168 2535936 2556256 2626704 2678208 2694432 2706624 2828544 2845596 2875788 2898432 2932176 3005328 3064256 3115437 3139968 3255772 3270504 3281408 3316224 3447288 3502272 3543046 3570944 3592576 3608832 3691584 3794128 3803904 3834384 3909568 4007104 4017312 4041648 4153916 4186624 4242816 4268394 4360672 4398264 4507992 4596384 4633214 4669696 4709952 4883658 4905756 4922112 4944384 4974336 5112512 5253408 5314569 5356416 5388864 5413248 5657088 5691192 5751576 5864352 6010656 6128512 6230874 6279936 6511544 6541008 6894576 6949821 7004544 7086092 7141888 7185152 7217664 7325487 7383168 7588256 7607808 7668768 7819136 8014208 8034624 8083296 8307832 8485632 8536788 8721344 8796528 9015984 9192768 9266428 9339392 9346311 9419904 9767316 9811512 9844224 9948672 10225024 10506816 10629138 10712832 10777728 10826496 11382384 11503152 11728704 12021312 12257024 12461748 12559872 13023088 13082016 13789152 13899642 14009088 14172184 14370304 14650974 14766336 15176512 15337536 15638272 15943707 16028416 16069248 16166592 16615664 16971264 17073576 17442688 17593056 18031968 18385536 18532856 18692622 18839808 19534632 19623024 20450048 20849463 21013632 21258276 21425664 21555456 21652992 22764768 23006304 23457408 24042624 24514048 24923496 26046176 26164032 27578304 27799284 28018176 28344368 29301948 29532672 30115891 30353024 30675072 31276544 31887414 32056832 32138496 32333184 33231328 34147152 34885376 35186112 36063936 36771072 37065712 37385244 37679616 39069264 39246048 40900096 41698926 42027264 42516552 43110912 45529536 46012608 46914816 48085248 49846992 52092352 52328064 55156608 55598568 56688736 58603896 60231782 60706048 61350144 63774828 64276992 64666368 66462656 68294304 69770752 70372224 72127872 73542144 74131424 74770488 78138528 78492096 83397852 84054528 85033104 90347673 91059072 92025216 93829632 96170496 99693984 104184704 104656128 110313216 111197136 113377472 117207792 120463564 121412096 122700288 127549656 129332736 132925312 136588608 140744448 144255744 148262848 149540976 156277056 156984192 166795704 170066208 180695346 182118144 184050432 199387968 208369408 209312256 220626432 222394272 226754944 234415584 240927128 255099312 265850624 271043019 273177216 281488896 288511488 296525696 299081952 312554112 313968384 333591408 340132416 361390692 364236288 368100864 398775936 416738816 444788544 453509888 468831168 481854256 510198624 531701248 542086038 546354432 593051392 598163904 625108224 627936768 667182816 680264832 722781384 797551872 889577088 907019776 937662336 963708512 1020397248 1084172076 1092708864 1186102784 1196327808 1250216448 1334365632 1360529664 1445562768 1595103744 1779154176 1875324672 1927417024 2040794496 2168344152 2392655616 2668731264 2721059328 2891125536 3558308352 3750649344 3854834048 4081588992 4336688304 4785311232 5337462528 5782251072 7709668096 8163177984 8673376608 10674925056 11564502144 15419336192 17346753216 23129004288 34693506432 46258008576 69387012864 138774025728
- Sum of all divisors σ(n): 489028700160
- Sum of proper divisors (its aliquot sum) s(n): 350254674432
- 138774025728 is an abundant number, because the sum of its proper divisors (350254674432) is greater than itself. Its abundance is 211480648704
Bases of 138774025728
- Binary: 100000010011111001001110010110000000002
- Hexadecimal: 0x204F939600
- Base-36: 1RR2GZK0
Squares and roots of 138774025728
- 138774025728 squared (1387740257282) is 19258230216755605929984
- 138774025728 cubed (1387740257283) is 2672542135575789474015828982628352
-
The
square root of 138774025728 is 372523.8592734699 -
The
cube root of 138774025728 is 5177.2928233305
Scales and comparisons
How big is 138774025728?- 138,774,025,728 seconds is equal to 4,412 years, 30 weeks, 2 days, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,774,025,728 would take you about eight thousand, eight hundred twenty-five 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 138774025728 cubic inches would be around 431.4 feet tall.
Recreational maths with 138774025728
- 138774025728 backwards is 827520477831
- The number of decimal digits it has is: 12
- The sum of 138774025728's digits is 54
- More coming soon!
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The information we have on file for 138774025728 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!
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