48738396792960
48,738,396,792,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48738396792960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
48738396792960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48738396792960:
27 × 32 × 5 × 72 × 31 × 53 × 61 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 31 × 53 × 61 × 1723)See below for interesting mathematical facts about the number 48738396792960 from the Numbermatics database.
Names of 48738396792960
- Cardinal: 48738396792960 can be written as Forty-eight trillion, seven hundred thirty-eight billion, three hundred ninety-six million, seven hundred ninety-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.873839679296 × 1013
Factors of 48738396792960
Divisors of 48738396792960
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 49 53 56 60 61 62 63 64 70 72 80 84 90 93 96 98 105 106 112 120 122 124 126 128 140 144 147 155 159 160 168 180 183 186 192 196 210 212 217 224 240 244 245 248 252 265 279 280 288 294 305 310 315 318 320 336 360 366 371 372 384 392 420 424 427 434 441 448 465 477 480 488 490 496 504 530 549 558 560 576 588 610 620 630 636 640 651 672 720 732 735 742 744 784 795 840 848 854 868 882 896 915 930 954 960 976 980 992 1008 1060 1085 1098 1113 1116 1120 1152 1176 1220 1240 1260 1272 1281 1302 1344 1395 1440 1464 1470 1484 1488 1519 1568 1590 1643 1680 1696 1708 1723 1736 1764 1830 1855 1860 1891 1908 1920 1952 1953 1960 1984 2016 2120 2135 2170 2196 2205 2226 2232 2240 2352 2385 2440 2480 2520 2544 2562 2597 2604 2688 2745 2790 2880 2928 2940 2968 2976 2989 3038 3136 3180 3233 3255 3286 3339 3360 3392 3416 3446 3472 3528 3660 3710 3720 3782 3816 3843 3904 3906 3920 3968 4032 4240 4270 4340 4392 4410 4452 4464 4480 4557 4704 4770 4880 4929 4960 5040 5088 5124 5169 5194 5208 5490 5565 5580 5673 5760 5856 5880 5936 5952 5978 6076 6272 6360 6405 6466 6510 6572 6678 6720 6784 6832 6892 6944 7056 7320 7420 7440 7564 7595 7632 7686 7791 7808 7812 7840 8064 8215 8480 8540 8615 8680 8784 8820 8904 8928 8967 9114 9408 9455 9540 9699 9760 9765 9858 9920 10080 10176 10248 10338 10388 10416 10980 11130 11160 11346 11501 11712 11760 11872 11904 11956 12061 12152 12720 12810 12932 12985 13020 13144 13237 13356 13440 13664 13671 13784 13888 14112 14640 14787 14840 14880 14945 15128 15190 15264 15372 15507 15582 15624 15680 16165 16430 16695 16960 17019 17080 17230 17360 17568 17640 17808 17856 17934 18228 18816 18910 19080 19215 19398 19520 19530 19716 19840 20160 20352 20496 20676 20776 20832 21960 22260 22320 22631 22692 22785 23002 23373 23424 23520 23744 23912 24122 24304 24645 25440 25620 25845 25864 25970 26040 26288 26474 26712 26901 27328 27342 27568 27776 28224 28365 29097 29280 29574 29680 29760 29890 30256 30380 30528 30744 31014 31164 31248 31360 32330 32860 33390 33920 34038 34160 34460 34503 34720 35136 35280 35616 35712 35868 36183 36456 37820 38160 38430 38796 38955 39040 39060 39432 39711 40320 40992 41352 41552 41664 43920 44520 44640 44835 45262 45384 45570 46004 46746 47040 47488 47824 48244 48495 48608 49290 50880 51240 51690 51728 51940 52080 52576 52948 53413 53424 53802 54656 54684 55136 56448 56730 57505 58194 58560 59148 59360 59520 59780 60305 60512 60760 61056 61488 62028 62328 62496 64660 65720 66185 66780 67893 68076 68320 68355 68920 69006 69440 70272 70560 71232 71736 72366 72912 73935 75640 76320 76860 77535 77592 77910 78120 78864 79422 80507 81984 82704 83104 83328 84427 85095 87840 89040 89280 89670 90524 90768 91140 91319 92008 92659 93492 94080 95648 96488 96990 97216 98580 100223 101760 102480 103380 103456 103509 103880 104160 105103 105152 105896 106826 106848 107604 108549 109368 110272 113155 113460 115010 116388 116865 117120 118296 118720 119133 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112300453440 114141444480 114949049040 116043801888 124332644880 126922908315 131017195680 131370341760 133165018560 135384435536 145054752360 152307489978 153265398720 154725069184 157220634816 159798022272 165776859840 169230544420 174065702832 174689594240 183918478464 193406336480 196525793520 198932231808 199747527840 203076653304 217582128540 224600906880 229898098080 232087603776 248665289760 253845816630 262034391360 266330037120 270768871072 290109504720 304614979956 306530797440 314441269632 331553719680 338461088840 348131405664 380768724945 386812672960 393051587040 399495055680 406153306608 435164257080 459796196160 464175207552 497330579520 507691633260 524068782720 541537742144 580219009440 609229959912 676922177680 696262811328 761537449890 773625345920 786103174080 798990111360 812306613216 870328514160 919592392320 994661159040 1015383266520 1083075484288 1160438018880 1218459919824 1353844355360 1392525622656 1523074899780 1572206348160 1624613226432 1740657028320 2030766533040 2320876037760 2436919839648 2707688710720 3046149799560 3249226452864 3481314056640 4061533066080 4873839679296 5415377421440 6092299599120 6962628113280 8123066132160 9747679358592 12184599198240 16246132264320 24369198396480 48738396792960
- Sum of all divisors σ(n): 209402724510720
- Sum of proper divisors (its aliquot sum) s(n): 160664327717760
- 48738396792960 is an abundant number, because the sum of its proper divisors (160664327717760) is greater than itself. Its abundance is 111925930924800
Bases of 48738396792960
- Binary: 10110001010011110010101101001111101000100000002
- Hexadecimal: 0x2C53CAD3E880
- Base-36: H9Y3Z28W0
Squares and roots of 48738396792960
- 48738396792960 squared (487383967929602) is 2375431321948013613105561600
- 48738396792960 cubed (487383967929603) is 115774714323527799940826525711379726336000
-
The
square root of 48738396792960 is 6981289.0495208691 -
The
cube root of 48738396792960 is 36527.8193601153
Scales and comparisons
How big is 48738396792960?- 48,738,396,792,960 seconds is equal to 1,549,730 years, 13 weeks, 3 days, 17 hours, 36 minutes.
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To count from 1 to 48,738,396,792,960 would take you about three million, eight hundred seventy-four thousand, three hundred twenty-five 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 48738396792960 cubic inches would be around 3044 feet tall.
Recreational maths with 48738396792960
- 48738396792960 backwards is 06929769383784
- The number of decimal digits it has is: 14
- The sum of 48738396792960's digits is 81
- More coming soon!
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The information we have on file for 48738396792960 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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