138135727968
138,135,727,968 is an even composite number composed of seven prime numbers multiplied together.
138135727968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138135727968:
25 × 3 × 7 × 19 × 23 × 173 × 2719
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 23 × 173 × 2719)See below for interesting mathematical facts about the number 138135727968 from the Numbermatics database.
Names of 138135727968
- Cardinal: 138135727968 can be written as One hundred thirty-eight billion, one hundred thirty-five million, seven hundred twenty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38135727968 × 1011
Factors of 138135727968
Divisors of 138135727968
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 32 38 42 46 48 56 57 69 76 84 92 96 112 114 133 138 152 161 168 173 184 224 228 266 276 304 322 336 346 368 399 437 456 483 519 532 552 608 644 672 692 736 798 874 912 966 1038 1064 1104 1211 1288 1311 1384 1596 1748 1824 1932 2076 2128 2208 2422 2576 2622 2719 2768 3059 3192 3287 3496 3633 3864 3979 4152 4256 4844 5152 5244 5438 5536 6118 6384 6574 6992 7266 7728 7958 8157 8304 9177 9688 9861 10488 10876 11937 12236 12768 13148 13984 14532 15456 15916 16314 16608 18354 19033 19376 19722 20976 21752 23009 23874 24472 26296 27853 29064 31832 32628 36708 38066 38752 39444 41952 43504 46018 47748 48944 51661 52592 55706 57099 58128 62537 63664 65256 69027 73416 75601 76132 78888 83559 87008 92036 95496 97888 103322 105184 111412 114198 116256 125074 127328 130512 138054 146832 151202 152264 154983 157776 167118 184072 187611 190992 206644 222824 226803 228396 250148 261024 276108 293664 302404 304528 309966 315552 334236 361627 368144 375222 381984 413288 437759 445648 453606 456792 470387 500296 529207 552216 604808 609056 619932 668472 723254 736288 750444 826576 875518 891296 907212 913584 940774 1000592 1058414 1084881 1104432 1188203 1209616 1239864 1313277 1336944 1411161 1446508 1500888 1587621 1653152 1751036 1814424 1827168 1881548 2001184 2116828 2169762 2208864 2376406 2419232 2479728 2626554 2673888 2822322 2893016 3001776 3175242 3292709 3502072 3564609 3628848 3763096 4233656 4339524 4752812 4959456 5253108 5644644 5786032 6003552 6350484 6585418 7004144 7129218 7257696 7526192 8317421 8467312 8679048 8937353 9505624 9878127 10506216 10818901 11289288 11572064 12700968 13170836 14008288 14258436 15052384 16634842 16934624 17358096 17874706 19011248 19756254 21012432 21637802 22578576 24952263 25401936 26341672 26812059 28516872 32456703 33269684 34716192 35749412 38022496 39512508 42024864 43275604 45157152 49904526 50803872 52683344 53624118 57033744 62561471 64913406 66539368 71498824 75732307 79025016 86551208 99809052 105366688 107248236 114067488 125122942 129826812 133078736 142997648 151464614 158050032 173102416 187684413 199618104 205559119 214496472 227196921 250245884 259653624 266157472 285995296 302929228 316100064 346204832 375368826 399236208 411118238 428992944 454393842 500491768 519307248 605858456 616677357 750737652 798472416 822236476 857985888 908787684 1000983536 1038614496 1211716912 1233354714 1438913833 1501475304 1644472952 1817575368 2001967072 2423433824 2466709428 2877827666 3002950608 3288945904 3635150736 4316741499 4933418856 5755655332 6005901216 6577891808 7270301472 8633482998 9866837712 11511310664 17266965996 19733675424 23022621328 34533931992 46045242656 69067863984 138135727968
- Sum of all divisors σ(n): 457983590400
- Sum of proper divisors (its aliquot sum) s(n): 319847862432
- 138135727968 is an abundant number, because the sum of its proper divisors (319847862432) is greater than itself. Its abundance is 181712134464
Bases of 138135727968
- Binary: 100000001010011000011111101111011000002
- Hexadecimal: 0x202987EF60
- Base-36: 1RGIG1UO
Squares and roots of 138135727968
- 138135727968 squared (1381357279682) is 19081479341249297409024
- 138135727968 cubed (1381357279683) is 2635834039509824788164066492383232
-
The
square root of 138135727968 is 371666.1512271467 -
The
cube root of 138135727968 is 5169.3428869263
Scales and comparisons
How big is 138135727968?- 138,135,727,968 seconds is equal to 4,392 years, 15 weeks, 3 hours, 32 minutes, 48 seconds.
-
To count from 1 to 138,135,727,968 would take you about eight thousand, seven hundred eighty-four 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 138135727968 cubic inches would be around 430.8 feet tall.
Recreational maths with 138135727968
- 138135727968 backwards is 869727531831
- The number of decimal digits it has is: 12
- The sum of 138135727968's digits is 60
- More coming soon!
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