138503587040
138,503,587,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138503587040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138503587040 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 138503587040:
25 × 5 × 7 × 13 × 29 × 331 × 991
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 29 × 331 × 991)See below for interesting mathematical facts about the number 138503587040 from the Numbermatics database.
Names of 138503587040
- Cardinal: 138503587040 can be written as One hundred thirty-eight billion, five hundred three million, five hundred eighty-seven thousand and forty.
Scientific notation
- Scientific notation: 1.3850358704 × 1011
Factors of 138503587040
Divisors of 138503587040
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 65 70 80 91 104 112 116 130 140 145 160 182 203 208 224 232 260 280 290 331 364 377 406 416 455 464 520 560 580 662 728 754 812 910 928 991 1015 1040 1120 1160 1324 1456 1508 1624 1655 1820 1885 1982 2030 2080 2317 2320 2639 2648 2912 3016 3248 3310 3640 3770 3964 4060 4303 4634 4640 4955 5278 5296 6032 6496 6620 6937 7280 7540 7928 8120 8606 9268 9599 9910 10556 10592 11585 12064 12883 13195 13240 13874 14560 15080 15856 16240 17212 18536 19198 19820 21112 21515 23170 25766 26390 26480 27748 28739 30121 30160 31712 32480 34424 34685 37072 38396 39640 42224 43030 46340 47995 51532 52780 52960 55496 57478 60242 60320 64415 67193 68848 69370 74144 76792 79280 84448 86060 90181 92680 95990 103064 105560 110992 114956 120484 124787 128830 134386 137696 138740 143695 150605 153584 158560 172120 180362 185360 191980 201173 206128 211120 221984 229912 240968 249574 257660 268772 277480 287390 301210 307168 328021 335965 344240 360724 370720 373607 383960 402346 412256 422240 450905 459824 481936 499148 515320 537544 554960 574780 602420 623935 656042 671930 688480 721448 747214 767920 804692 873509 901810 919648 963872 998296 1005865 1030640 1075088 1109920 1149560 1204840 1247870 1312084 1343860 1442896 1494428 1535840 1609384 1640105 1747018 1803620 1868035 1996592 2011730 2061280 2150176 2296147 2299120 2409680 2495740 2615249 2624168 2687720 2885792 2988856 3218768 3280210 3494036 3607240 3736070 3993184 4023460 4264273 4367545 4592294 4598240 4819360 4991480 5230498 5248336 5375440 5977712 6437536 6560420 6988072 7214480 7472140 8046920 8528546 8735090 9184588 9512609 9982960 10460996 10496672 10750880 11480735 11955424 13076245 13120840 13976144 14428960 14944280 16093840 17057092 17470180 18369176 19025218 19965920 20921992 21321365 22961470 26152490 26241680 27952288 29849911 29888560 32187680 34114184 34940360 36738352 38050436 41843984 42642730 45922940 47563045 52304980 52483360 59699822 59777120 66588263 68228368 69880720 73476704 76100872 83687968 85285460 91845880 95126090 104609960 119399644 123663917 133176526 136456736 139761440 149249555 152201744 170570920 183691760 190252180 209219920 238799288 247327834 266353052 298499110 304403488 332941315 341141840 367383520 380504360 418439840 477598576 494655668 532706104 596998220 618319585 665882630 682283680 761008720 865647419 955197152 989311336 1065412208 1193996440 1236639170 1331765260 1522017440 1731294838 1978622672 2130824416 2387992880 2473278340 2663530520 3462589676 3957245344 4328237095 4775985760 4946556680 5327061040 6925179352 8656474190 9893113360 10654122080 13850358704 17312948380 19786226720 27700717408 34625896760 69251793520 138503587040
- Sum of all divisors σ(n): 418293227520
- Sum of proper divisors (its aliquot sum) s(n): 279789640480
- 138503587040 is an abundant number, because the sum of its proper divisors (279789640480) is greater than itself. Its abundance is 141286053440
Bases of 138503587040
- Binary: 100000001111110111010100000100111000002
- Hexadecimal: 0x203F7504E0
- Base-36: 1RMLGJQ8
Squares and roots of 138503587040
- 138503587040 squared (1385035870402) is 19183243622946855961600
- 138503587040 cubed (1385035870403) is 2656948052840344805971808497664000
-
The
square root of 138503587040 is 372160.7005582401 -
The
cube root of 138503587040 is 5173.9275182975
Scales and comparisons
How big is 138503587040?- 138,503,587,040 seconds is equal to 4,403 years, 51 weeks, 1 day, 18 hours, 37 minutes, 20 seconds.
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To count from 1 to 138,503,587,040 would take you about eight thousand, eight hundred seven 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 138503587040 cubic inches would be around 431.2 feet tall.
Recreational maths with 138503587040
- 138503587040 backwards is 040785305831
- The number of decimal digits it has is: 12
- The sum of 138503587040's digits is 44
- More coming soon!
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