27948072138752000
27,948,072,138,752,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 27948072138752000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
27948072138752000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 27948072138752000:
214 × 53 × 172 × 673 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 67 × 67 × 67 × 157)See below for interesting mathematical facts about the number 27948072138752000 from the Numbermatics database.
Names of 27948072138752000
- Cardinal: 27948072138752000 can be written as Twenty-seven quadrillion, nine hundred forty-eight trillion, seventy-two billion, one hundred thirty-eight million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 2.7948072138752 × 1016
Factors of 27948072138752000
Divisors of 27948072138752000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 67 68 80 85 100 125 128 134 136 157 160 170 200 250 256 268 272 289 314 320 335 340 400 425 500 512 536 544 578 628 640 670 680 785 800 850 1000 1024 1072 1088 1139 1156 1256 1280 1340 1360 1445 1570 1600 1675 1700 2000 2048 2125 2144 2176 2278 2312 2512 2560 2669 2680 2720 2890 3140 3200 3350 3400 3925 4000 4096 4250 4288 4352 4489 4556 4624 5024 5120 5338 5360 5440 5695 5780 6280 6400 6700 6800 7225 7850 8000 8192 8375 8500 8576 8704 8978 9112 9248 10048 10240 10519 10676 10720 10880 11390 11560 12560 12800 13345 13400 13600 14450 15700 16000 16384 16750 17000 17152 17408 17956 18224 18496 19363 19625 20096 20480 21038 21352 21440 21760 22445 22780 23120 25120 25600 26690 26800 27200 28475 28900 31400 32000 33500 34000 34304 34816 35912 36125 36448 36992 38726 39250 40192 40960 42076 42704 42880 43520 44890 45373 45560 46240 50240 51200 52595 53380 53600 54400 56950 57800 62800 64000 66725 67000 68000 68608 69632 71824 72250 72896 73984 76313 77452 78500 80384 81920 84152 85408 85760 87040 89780 90746 91120 92480 96815 100480 102400 105190 106760 107200 108800 112225 113900 115600 125600 128000 133450 134000 136000 137216 139264 142375 143648 144500 145792 147968 152626 154904 157000 160768 168304 170816 171520 174080 178823 179560 181492 182240 184960 193630 200960 204800 210380 213520 214400 217600 224450 226865 227800 231200 251200 256000 262975 266900 268000 272000 274432 278528 284750 287296 289000 291584 295936 300763 305252 309808 314000 321536 333625 336608 341632 343040 348160 357646 359120 362984 364480 369920 381565 387260 401920 409600 420760 427040 428800 435200 448900 453730 455600 462400 484075 502400 512000 525950 533800 536000 544000 548864 561125 569500 574592 578000 583168 591872 601526 610504 619616 628000 643072 667250 673216 683264 686080 696320 704773 715292 718240 725968 728960 739840 763130 774520 803840 841520 854080 857600 870400 894115 897800 907460 911200 924800 968150 1004800 1024000 1051900 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16440042434560 16685416202240 17467545086720 17801319833600 19341226393600 20550053043200 20856770252800 21834431358400 22251649792000 24176532992000 24537376768000 25687566304000 26070962816000 27293039198000 27948072138752 32880084869120 34935090173440 35602639667200 41100106086400 41713540505600 43668862716800 44503299584000 48353065984000 51375132608000 52141925632000 54586078396000 55896144277504 65760169738240 69870180346880 82200212172800 83427081011200 87337725433600 89006599168000 96706131968000 102750265216000 104283851264000 109172156792000 111792288555008 139740360693760 164400424345600 174675450867200 178013198336000 205500530432000 208567702528000 218344313584000 223584577110016 279480721387520 328800848691200 349350901734400 411001060864000 417135405056000 436688627168000 558961442775040 698701803468800 822002121728000 873377254336000 1117922885550080 1397403606937600 1644004243456000 1746754508672000 2794807213875200 3493509017344000 5589614427750400 6987018034688000 13974036069376000 27948072138752000
- Sum of all divisors σ(n): 75702809186571840
- Sum of proper divisors (its aliquot sum) s(n): 47754737047819840
- 27948072138752000 is an abundant number, because the sum of its proper divisors (47754737047819840) is greater than itself. Its abundance is 19806664909067840
Bases of 27948072138752000
- Binary: 11000110100101010011111100111111111110011000000000000002
- Hexadecimal: 0x634A9F9FFCC000
- Base-36: 7N6RJ3DKO3K
Squares and roots of 27948072138752000
- 27948072138752000 squared (279480721387520002) is 781094736272885791540117504000000
- 27948072138752000 cubed (279480721387520003) is 21830092036554080597075644238026671915008000000000
-
The
square root of 27948072138752000 is 167176769.1360016683 -
The
cube root of 27948072138752000 is 303471.0624856881
Scales and comparisons
How big is 27948072138752000?- 27,948,072,138,752,000 seconds is equal to 888,662,244 years, 49 weeks, 2 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 27,948,072,138,752,000 would take you about two billion, six hundred sixty-five million, nine hundred eighty-six thousand, seven hundred thirty-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 27948072138752000 cubic inches would be around 25289.3 feet tall.
Recreational maths with 27948072138752000
- 27948072138752000 backwards is 00025783127084972
- The number of decimal digits it has is: 17
- The sum of 27948072138752000's digits is 65
- More coming soon!
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Numbermatics. (2024). Number 27948072138752000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/27948072138752000/
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The information we have on file for 27948072138752000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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