138539737440
138,539,737,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 138539737440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
138539737440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138539737440:
25 × 32 × 5 × 132 × 17 × 33487
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 17 × 33487)See below for interesting mathematical facts about the number 138539737440 from the Numbermatics database.
Names of 138539737440
- Cardinal: 138539737440 can be written as One hundred thirty-eight billion, five hundred thirty-nine million, seven hundred thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3853973744 × 1011
Factors of 138539737440
Divisors of 138539737440
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 65 68 72 78 80 85 90 96 102 104 117 120 130 136 144 153 156 160 169 170 180 195 204 208 221 234 240 255 260 272 288 306 312 338 340 360 390 408 416 442 468 480 507 510 520 544 585 612 624 663 676 680 720 765 780 816 845 884 936 1014 1020 1040 1105 1170 1224 1248 1326 1352 1360 1440 1521 1530 1560 1632 1690 1768 1872 1989 2028 2040 2080 2210 2340 2448 2535 2652 2704 2720 2873 3042 3060 3120 3315 3380 3536 3744 3978 4056 4080 4420 4680 4896 5070 5304 5408 5746 6084 6120 6240 6630 6760 7072 7605 7956 8112 8160 8619 8840 9360 9945 10140 10608 11492 12168 12240 13260 13520 14365 15210 15912 16224 17238 17680 18720 19890 20280 21216 22984 24336 24480 25857 26520 27040 28730 30420 31824 33487 34476 35360 39780 40560 43095 45968 48672 51714 53040 57460 60840 63648 66974 68952 79560 81120 86190 91936 100461 103428 106080 114920 121680 129285 133948 137904 159120 167435 172380 200922 206856 229840 243360 258570 267896 275808 301383 318240 334870 344760 401844 413712 435331 459680 502305 517140 535792 569279 602766 669740 689520 803688 827424 870662 1004610 1034280 1071584 1138558 1205532 1305993 1339480 1379040 1506915 1607376 1707837 1741324 2009220 2068560 2176655 2277116 2411064 2611986 2678960 2846395 3013830 3214752 3415674 3482648 3917979 4018440 4137120 4353310 4554232 4822128 5123511 5223972 5357920 5659303 5692790 6027660 6529965 6831348 6965296 7400627 7835958 8036880 8539185 8706620 9108464 9644256 10247022 10447944 11318606 11385580 12055320 13059930 13662696 13930592 14801254 15671916 16073760 16977909 17078370 17413240 18216928 19589895 20494044 20895888 22201881 22637212 22771160 24110640 25617555 26119860 27325392 28296515 29602508 31343832 33955818 34156740 34826480 37003135 39179790 40988088 41791776 44403762 45274424 45542320 48221280 50933727 51235110 52239720 54650784 56593030 59205016 62687664 66605643 67911636 68313480 69652960 74006270 78359580 81976176 84889545 88807524 90548848 91084640 96208151 101867454 102470220 104479440 111009405 113186060 118410032 125375328 133211286 135823272 136626960 148012540 156719160 163952352 169779090 177615048 181097696 192416302 203734908 204940440 208958880 222018810 226372120 236820064 254668635 266422572 271646544 273253920 288624453 296025080 313438320 333028215 339558180 355230096 384832604 407469816 409880880 444037620 452744240 481040755 509337270 532845144 543293088 577248906 592050160 626876640 666056430 679116360 710460192 769665208 814939632 819761760 865873359 888075240 905488480 962081510 1018674540 1065690288 1154497812 1184100320 1332112860 1358232720 1443122265 1539330416 1629879264 1731746718 1776150480 1924163020 2037349080 2131380576 2308995624 2664225720 2716465440 2886244530 3078660832 3463493436 3552300960 3848326040 4074698160 4329366795 4617991248 5328451440 5772489060 6926986872 7696652080 8149396320 8658733590 9235982496 10656902880 11544978120 13853973744 15393304160 17317467180 23089956240 27707947488 34634934360 46179912480 69269868720 138539737440
- Sum of all divisors σ(n): 542060745408
- Sum of proper divisors (its aliquot sum) s(n): 403521007968
- 138539737440 is an abundant number, because the sum of its proper divisors (403521007968) is greater than itself. Its abundance is 264981270528
Bases of 138539737440
- Binary: 100000010000011001110010100001011000002
- Hexadecimal: 0x20419CA160
- Base-36: 1RN6ZDK0
Squares and roots of 138539737440
- 138539737440 squared (1385397374402) is 19193258849944137753600
- 138539737440 cubed (1385397374403) is 2659029041689217203050935414784000
-
The
square root of 138539737440 is 372209.2656557599 -
The
cube root of 138539737440 is 5174.3776228347
Scales and comparisons
How big is 138539737440?- 138,539,737,440 seconds is equal to 4,405 years, 7 weeks, 4 hours, 24 minutes.
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To count from 1 to 138,539,737,440 would take you about eight thousand, eight hundred ten 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 138539737440 cubic inches would be around 431.2 feet tall.
Recreational maths with 138539737440
- 138539737440 backwards is 044737935831
- The number of decimal digits it has is: 12
- The sum of 138539737440's digits is 54
- More coming soon!
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