138655440
138,655,440 is an even composite number composed of seven prime numbers multiplied together.
138655440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138655440:
24 × 32 × 5 × 7 × 11 × 41 × 61
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 41 × 61)See below for interesting mathematical facts about the number 138655440 from the Numbermatics database.
Names of 138655440
- Cardinal: 138655440 can be written as One hundred thirty-eight million, six hundred fifty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3865544 × 108
Factors of 138655440
Divisors of 138655440
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 33 35 36 40 41 42 44 45 48 55 56 60 61 63 66 70 72 77 80 82 84 88 90 99 105 110 112 120 122 123 126 132 140 144 154 164 165 168 176 180 183 198 205 210 220 231 240 244 246 252 264 280 287 305 308 315 328 330 336 360 366 369 385 396 410 420 427 440 451 462 488 492 495 504 528 549 560 574 610 615 616 630 656 660 671 693 720 732 738 770 792 820 840 854 861 880 902 915 924 976 984 990 1008 1098 1148 1155 1220 1230 1232 1260 1281 1320 1342 1353 1386 1435 1464 1476 1540 1584 1640 1680 1708 1722 1804 1830 1845 1848 1968 1980 2013 2135 2196 2255 2296 2310 2440 2460 2501 2520 2562 2583 2640 2684 2706 2745 2772 2870 2928 2952 3080 3157 3280 3355 3416 3444 3465 3608 3660 3690 3696 3843 3960 4026 4059 4270 4305 4392 4510 4592 4620 4697 4880 4920 5002 5040 5124 5166 5368 5412 5490 5544 5740 5904 6039 6160 6314 6405 6710 6765 6832 6888 6930 7216 7320 7380 7503 7686 7920 8052 8118 8540 8610 8784 9020 9240 9394 9471 9840 10004 10065 10248 10332 10736 10824 10980 11088 11480 12078 12505 12628 12810 12915 13420 13530 13776 13860 14091 14640 14760 15006 15372 15785 16104 16236 17080 17220 17507 18040 18480 18788 18942 19215 20008 20130 20295 20496 20664 21648 21960 22509 22960 23485 24156 25010 25256 25620 25830 26840 27060 27511 27720 28182 28413 29520 30012 30195 30744 31570 32208 32472 34160 34440 35014 36080 37515 37576 37884 38430 40016 40260 40590 41328 42273 43920 45018 46970 47355 48312 50020 50512 51240 51660 52521 53680 54120 55022 55440 56364 56826 60024 60390 61488 63140 64944 68880 70028 70455 75030 75152 75768 76860 80520 81180 82533 84546 87535 90036 93940 94710 96624 100040 102480 103320 105042 108240 110044 112545 112728 113652 120048 120780 126280 137555 140056 140910 142065 150060 151536 153720 157563 161040 162360 165066 169092 175070 180072 187880 189420 192577 200080 206640 210084 211365 220088 225090 225456 227304 241560 247599 252560 262605 275110 280112 281820 284130 300120 307440 315126 324720 330132 338184 350140 360144 375760 378840 385154 412665 420168 422730 440176 450180 454608 483120 495198 525210 550220 563640 568260 577731 600240 630252 660264 676368 700280 757680 770308 787815 825330 840336 845460 900360 962885 990396 1050420 1100440 1127280 1136520 1155462 1237995 1260504 1320528 1400560 1540616 1575630 1650660 1690920 1733193 1800720 1925770 1980792 2100840 2200880 2273040 2310924 2475990 2521008 2888655 3081232 3151260 3301320 3381840 3466386 3851540 3961584 4201680 4621848 4951980 5777310 6302520 6602640 6932772 7703080 8665965 9243696 9903960 11554620 12605040 13865544 15406160 17331930 19807920 23109240 27731088 34663860 46218480 69327720 138655440
- Sum of all divisors σ(n): 604461312
- Sum of proper divisors (its aliquot sum) s(n): 465805872
- 138655440 is an abundant number, because the sum of its proper divisors (465805872) is greater than itself. Its abundance is 327150432
Bases of 138655440
- Binary: 10000100001110110110110100002
- Hexadecimal: 0x843B6D0
- Base-36: 2AJV80
Squares and roots of 138655440
- 138655440 squared (1386554402) is 19225331041593600
- 138655440 cubed (1386554403) is 2665696734717818909184000
-
The
square root of 138655440 is 11775.2044568237 -
The
cube root of 138655440 is 517.5817696177
Scales and comparisons
How big is 138655440?- 138,655,440 seconds is equal to 4 years, 21 weeks, 1 day, 19 hours, 24 minutes.
-
To count from 1 to 138,655,440 would take you about six 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 138655440 cubic inches would be around 43.1 feet tall.
Recreational maths with 138655440
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