12814536960
12,814,536,960 is an even composite number composed of five prime numbers multiplied together.
12814536960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 12814536960:
28 × 36 × 5 × 31 × 443
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 443)See below for interesting mathematical facts about the number 12814536960 from the Numbermatics database.
Names of 12814536960
- Cardinal: 12814536960 can be written as Twelve billion, eight hundred fourteen million, five hundred thirty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.281453696 × 1010
Factors of 12814536960
Divisors of 12814536960
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 81 90 93 96 108 120 124 128 135 144 155 160 162 180 186 192 216 240 243 248 256 270 279 288 310 320 324 360 372 384 405 432 443 465 480 486 496 540 558 576 620 640 648 720 729 744 768 810 837 864 886 930 960 972 992 1080 1116 1152 1215 1240 1280 1296 1329 1395 1440 1458 1488 1620 1674 1728 1772 1860 1920 1944 1984 2160 2215 2232 2304 2430 2480 2511 2592 2658 2790 2880 2916 2976 3240 3348 3456 3544 3645 3720 3840 3888 3968 3987 4185 4320 4430 4464 4860 4960 5022 5184 5316 5580 5760 5832 5952 6480 6645 6696 6912 7088 7290 7440 7533 7776 7936 7974 8370 8640 8860 8928 9720 9920 10044 10368 10632 11160 11520 11664 11904 11961 12555 12960 13290 13392 13733 14176 14580 14880 15066 15552 15948 16740 17280 17720 17856 19440 19840 19935 20088 20736 21264 22320 22599 23328 23808 23922 25110 25920 26580 26784 27466 28352 29160 29760 30132 31104 31896 33480 34560 35440 35712 35883 37665 38880 39680 39870 40176 41199 42528 44640 45198 46656 47844 50220 51840 53160 53568 54932 56704 58320 59520 59805 60264 62208 63792 66960 68665 70880 71424 71766 75330 77760 79740 80352 82398 85056 89280 90396 93312 95688 100440 103680 106320 107136 107649 109864 112995 113408 116640 119040 119610 120528 123597 127584 133920 137330 141760 143532 150660 155520 159480 160704 164796 170112 178560 179415 180792 186624 191376 200880 205995 212640 214272 215298 219728 225990 233280 239220 241056 247194 255168 267840 274660 283520 287064 301320 311040 318960 321408 322947 329592 340224 357120 358830 361584 370791 382752 401760 411990 425280 430596 439456 451980 466560 478440 482112 494388 510336 535680 538245 549320 567040 574128 602640 617985 637920 642816 645894 659184 717660 723168 741582 765504 803520 823980 850560 861192 878912 903960 933120 956880 964224 988776 1020672 1071360 1076490 1098640 1112373 1148256 1205280 1235970 1275840 1291788 1318368 1435320 1446336 1483164 1531008 1607040 1614735 1647960 1701120 1722384 1757824 1807920 1853955 1913760 1928448 1977552 2152980 2197280 2224746 2296512 2410560 2471940 2551680 2583576 2636736 2870640 2892672 2966328 3062016 3214080 3229470 3295920 3337119 3444768 3515648 3615840 3707910 3827520 3955104 4305960 4394560 4449492 4593024 4821120 4943880 5103360 5167152 5273472 5561865 5741280 5785344 5932656 6458940 6591840 6674238 6889536 7231680 7415820 7655040 7910208 8611920 8789120 8898984 9186048 9642240 9887760 10011357 10334304 10546944 11123730 11482560 11865312 12917880 13183680 13348476 13779072 14463360 14831640 15310080 15820416 16685595 17223840 17578240 17797968 19775520 20022714 20668608 22247460 22965120 23730624 25835760 26367360 26696952 27558144 28926720 29663280 31640832 33371190 34447680 35595936 39551040 40045428 41337216 44494920 45930240 47461248 50056785 51671520 52734720 53393904 59326560 66742380 68895360 71191872 79102080 80090856 82674432 88989840 94922496 100113570 103343040 106787808 118653120 133484760 137790720 142383744 158204160 160181712 177979680 200227140 206686080 213575616 237306240 266969520 284767488 320363424 355959360 400454280 413372160 427151232 474612480 533939040 640726848 711918720 800908560 854302464 1067878080 1281453696 1423837440 1601817120 2135756160 2562907392 3203634240 4271512320 6407268480 12814536960
- Sum of all divisors σ(n): 47612968704
- Sum of proper divisors (its aliquot sum) s(n): 34798431744
- 12814536960 is an abundant number, because the sum of its proper divisors (34798431744) is greater than itself. Its abundance is 21983894784
Bases of 12814536960
- Binary: 10111110111100111001010001000000002
- Hexadecimal: 0x2FBCE5100
- Base-36: 5VXG000
Squares and roots of 12814536960
- 12814536960 squared (128145369602) is 164212357499206041600
- 12814536960 cubed (128145369603) is 2104305324462308990738497536000
-
The
square root of 12814536960 is 113201.3116531783 -
The
cube root of 12814536960 is 2340.0994040611
Scales and comparisons
How big is 12814536960?- 12,814,536,960 seconds is equal to 407 years, 24 weeks, 9 hours, 36 minutes.
-
To count from 1 to 12,814,536,960 would take you about eight hundred fourteen 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 12814536960 cubic inches would be around 195 feet tall.
Recreational maths with 12814536960
- 12814536960 backwards is 06963541821
- 12814536960 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12814536960's digits is 45
- More coming soon!
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