513988928000
513,988,928,000 is an even composite number composed of five prime numbers multiplied together.
513988928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 513988928000:
29 × 53 × 312 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 31 × 61 × 137)See below for interesting mathematical facts about the number 513988928000 from the Numbermatics database.
Names of 513988928000
- Cardinal: 513988928000 can be written as Five hundred thirteen billion, nine hundred eighty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 5.13988928 × 1011
Factors of 513988928000
Divisors of 513988928000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 61 62 64 80 100 122 124 125 128 137 155 160 200 244 248 250 256 274 305 310 320 400 488 496 500 512 548 610 620 640 685 775 800 961 976 992 1000 1096 1220 1240 1280 1370 1525 1550 1600 1891 1922 1952 1984 2000 2192 2440 2480 2560 2740 3050 3100 3200 3425 3782 3844 3875 3904 3968 4000 4247 4384 4805 4880 4960 5480 6100 6200 6400 6850 7564 7625 7688 7750 7808 7936 8000 8357 8494 8768 9455 9610 9760 9920 10960 12200 12400 12800 13700 15128 15250 15376 15500 15616 15872 16000 16714 16988 17125 17536 18910 19220 19520 19840 21235 21920 24025 24400 24800 27400 30256 30500 30752 31000 31232 32000 33428 33976 34250 35072 37820 38440 39040 39680 41785 42470 43840 47275 48050 48800 49600 54800 58621 60512 61000 61504 62000 64000 66856 67952 68500 70144 75640 76880 78080 79360 83570 84940 87680 94550 96100 97600 99200 106175 109600 117242 120125 121024 122000 123008 124000 131657 133712 135904 137000 151280 153760 156160 167140 169880 175360 189100 192200 195200 198400 208925 212350 219200 234484 236375 240250 242048 244000 246016 248000 259067 263314 267424 271808 274000 293105 302560 307520 334280 339760 350720 378200 384400 390400 396800 417850 424700 438400 468968 472750 480500 484096 488000 492032 496000 518134 526628 530875 534848 543616 548000 586210 605120 615040 658285 668560 679520 756400 768800 780800 835700 849400 876800 937936 945500 961000 968192 976000 992000 1036268 1044625 1053256 1061750 1069696 1087232 1096000 1172420 1210240 1230080 1295335 1316570 1337120 1359040 1465525 1512800 1537600 1671400 1698800 1753600 1875872 1891000 1922000 1952000 1984000 2072536 2089250 2106512 2123500 2139392 2174464 2192000 2344840 2420480 2460160 2590670 2633140 2674240 2718080 2931050 3025600 3075200 3291425 3342800 3397600 3751744 3782000 3844000 3904000 4145072 4178500 4213024 4247000 4278784 4384000 4689680 4840960 5181340 5266280 5348480 5436160 5862100 6051200 6150400 6476675 6582850 6685600 6795200 7327625 7503488 7564000 7688000 8031077 8290144 8357000 8426048 8494000 8768000 9379360 10362680 10532560 10696960 10872320 11724200 12102400 12300800 12953350 13165700 13371200 13590400 14655250 15006976 15128000 15376000 16062154 16457125 16580288 16714000 16852096 16988000 18758720 20725360 21065120 21393920 23448400 24204800 25906700 26331400 26742400 27180800 29310500 30013952 30256000 30752000 32124308 32383375 32914250 33160576 33428000 33704192 33976000 37517440 40155385 41450720 42130240 46896800 51813400 52662800 53484800 54361600 58621000 60512000 61504000 64248616 64766750 65828500 66321152 66856000 67408384 67952000 75034880 80310770 82901440 84260480 93793600 103626800 105325600 106969600 117242000 121024000 128497232 129533500 131657000 132642304 133712000 135904000 150069760 160621540 165802880 168520960 187587200 200776925 207253600 210651200 234484000 256994464 259067000 263314000 267424000 271808000 321243080 331605760 337041920 375174400 401553850 414507200 421302400 468968000 513988928 518134000 526628000 534848000 642486160 663211520 750348800 803107700 829014400 842604800 937936000 1003884625 1027977856 1036268000 1053256000 1284972320 1606215400 1658028800 1685209600 1875872000 2007769250 2055955712 2072536000 2106512000 2569944640 3212430800 3316057600 3751744000 4015538500 4111911424 4145072000 4213024000 5139889280 6424861600 8031077000 8290144000 8426048000 10279778560 12849723200 16062154000 16580288000 20559557120 25699446400 32124308000 51398892800 64248616000 102797785600 128497232000 256994464000 513988928000
- Sum of all divisors σ(n): 1355876883504
- Sum of proper divisors (its aliquot sum) s(n): 841887955504
- 513988928000 is an abundant number, because the sum of its proper divisors (841887955504) is greater than itself. Its abundance is 327899027504
Bases of 513988928000
- Binary: 1110111101011000010000010100010000000002
- Hexadecimal: 0x77AC20A200
- Base-36: 6K4FQJ28
Squares and roots of 513988928000
- 513988928000 squared (5139889280002) is 264184618106589184000000
- 513988928000 cubed (5139889280003) is 135787968654695164420554752000000000
-
The
square root of 513988928000 is 716930.2113874127 -
The
cube root of 513988928000 is 8010.3456152633
Scales and comparisons
How big is 513988928000?- 513,988,928,000 seconds is equal to 16,343 years, 13 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 513,988,928,000 would take you about thirty-two thousand, six hundred eighty-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 513988928000 cubic inches would be around 667.5 feet tall.
Recreational maths with 513988928000
- 513988928000 backwards is 000829889315
- The number of decimal digits it has is: 12
- The sum of 513988928000's digits is 53
- More coming soon!
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