135416406528
135,416,406,528 is an even composite number composed of four prime numbers multiplied together.
135416406528 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred fifty divisors.
Prime factorization of 135416406528:
29 × 34 × 132 × 1392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 139 × 139)See below for interesting mathematical facts about the number 135416406528 from the Numbermatics database.
Names of 135416406528
- Cardinal: 135416406528 can be written as One hundred thirty-five billion, four hundred sixteen million, four hundred six thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35416406528 × 1011
Factors of 135416406528
Divisors of 135416406528
- Number of divisors d(n): 450
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 139 144 156 162 169 192 208 216 234 256 278 288 312 324 338 351 384 416 417 432 468 507 512 556 576 624 648 676 702 768 832 834 864 936 1014 1053 1112 1152 1248 1251 1296 1352 1404 1521 1536 1664 1668 1728 1807 1872 2028 2106 2224 2304 2496 2502 2592 2704 2808 3042 3328 3336 3456 3614 3744 3753 4056 4212 4448 4563 4608 4992 5004 5184 5408 5421 5616 6084 6656 6672 6912 7228 7488 7506 8112 8424 8896 9126 9984 10008 10368 10816 10842 11232 11259 12168 13344 13689 13824 14456 14976 15012 16224 16263 16848 17792 18252 19321 19968 20016 20736 21632 21684 22464 22518 23491 24336 26688 27378 28912 29952 30024 32448 32526 33696 35584 36504 38642 40032 41472 43264 43368 44928 45036 46982 48672 48789 53376 54756 57824 57963 59904 60048 64896 65052 67392 70473 71168 73008 77284 80064 86528 86736 89856 90072 93964 97344 97578 106752 109512 115648 115926 120096 129792 130104 134784 140946 146016 146367 154568 160128 173472 173889 179712 180144 187928 194688 195156 211419 213504 219024 231296 231852 240192 251173 259584 260208 269568 281892 292032 292734 309136 320256 346944 347778 360288 375856 389376 390312 422838 438048 462592 463704 480384 502346 520416 521667 539136 563784 584064 585468 618272 634257 640512 693888 695556 720576 751712 753519 778752 780624 845676 876096 925184 927408 960768 1004692 1040832 1043334 1127568 1168128 1170936 1236544 1268514 1387776 1391112 1441152 1503424 1507038 1561248 1565001 1691352 1752192 1854816 1902771 1921536 2009384 2081664 2086668 2255136 2260557 2336256 2341872 2473088 2537028 2775552 2782224 2882304 3006848 3014076 3122496 3130002 3265249 3382704 3504384 3709632 3805542 4018768 4163328 4173336 4510272 4521114 4683744 4946176 5074056 5564448 5764608 6013696 6028152 6244992 6260004 6530498 6765408 6781671 7008768 7419264 7611084 8037536 8326656 8346672 9020544 9042228 9367488 9795747 9892352 10148112 11128896 12027392 12056304 12489984 12520008 13060996 13530816 13563342 14838528 15222168 16075072 16693344 18041088 18084456 18734976 19591494 20296224 20345013 22257792 24112608 24979968 25040016 26121992 27061632 27126684 29387241 29677056 30444336 32150144 33386688 36082176 36168912 37469952 39182988 40592448 40690026 44515584 48225216 50080032 52243984 54123264 54253368 58774482 60888672 64300288 66773376 72337824 74939904 78365976 81184896 81380052 88161723 89031168 96450432 100160064 104487968 108246528 108506736 117548964 121777344 128600576 133546752 144675648 156731952 162369792 162760104 176323446 192900864 200320128 208975936 217013472 235097928 243554688 264485169 267093504 289351296 313463904 324739584 325520208 352646892 385801728 400640256 417951872 434026944 470195856 487109376 528970338 578702592 626927808 651040416 705293784 801280512 835903744 868053888 940391712 974218752 1057940676 1157405184 1253855616 1302080832 1410587568 1671807488 1736107776 1880783424 2115881352 2507711232 2604161664 2821175136 3472215552 3761566848 4231762704 5015422464 5208323328 5642350272 7523133696 8463525408 10416646656 11284700544 15046267392 16927050816 22569401088 33854101632 45138802176 67708203264 135416406528
- Sum of all divisors σ(n): 440836196229
- Sum of proper divisors (its aliquot sum) s(n): 305419789701
- 135416406528 is an abundant number, because the sum of its proper divisors (305419789701) is greater than itself. Its abundance is 170003383173
Bases of 135416406528
- Binary: 11111100001110111001001100010000000002
- Hexadecimal: 0x1F87726200
- Base-36: 1Q7JFK00
Squares and roots of 135416406528
- 135416406528 squared (1354164065282) is 18337603156956561014784
- 135416406528 cubed (1354164065283) is 2483212323851565857614826362109952
-
The
square root of 135416406528 is 367989.6826379783 -
The
cube root of 135416406528 is 5135.1968348411
Scales and comparisons
How big is 135416406528?- 135,416,406,528 seconds is equal to 4,305 years, 42 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 135,416,406,528 would take you about eight thousand, six hundred eleven 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 135416406528 cubic inches would be around 427.9 feet tall.
Recreational maths with 135416406528
- 135416406528 backwards is 825604614531
- The number of decimal digits it has is: 12
- The sum of 135416406528's digits is 45
- More coming soon!
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