10829168640
10,829,168,640 is an even composite number composed of four prime numbers multiplied together.
10829168640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 10829168640:
219 × 35 × 5 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 17)See below for interesting mathematical facts about the number 10829168640 from the Numbermatics database.
Names of 10829168640
- Cardinal: 10829168640 can be written as Ten billion, eight hundred twenty-nine million, one hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.082916864 × 1010
Factors of 10829168640
Divisors of 10829168640
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 128 135 136 144 153 160 162 170 180 192 204 216 240 243 255 256 270 272 288 306 320 324 340 360 384 405 408 432 459 480 486 510 512 540 544 576 612 640 648 680 720 765 768 810 816 864 918 960 972 1020 1024 1080 1088 1152 1215 1224 1280 1296 1360 1377 1440 1530 1536 1620 1632 1728 1836 1920 1944 2040 2048 2160 2176 2295 2304 2430 2448 2560 2592 2720 2754 2880 3060 3072 3240 3264 3456 3672 3840 3888 4080 4096 4131 4320 4352 4590 4608 4860 4896 5120 5184 5440 5508 5760 6120 6144 6480 6528 6885 6912 7344 7680 7776 8160 8192 8262 8640 8704 9180 9216 9720 9792 10240 10368 10880 11016 11520 12240 12288 12960 13056 13770 13824 14688 15360 15552 16320 16384 16524 17280 17408 18360 18432 19440 19584 20480 20655 20736 21760 22032 23040 24480 24576 25920 26112 27540 27648 29376 30720 31104 32640 32768 33048 34560 34816 36720 36864 38880 39168 40960 41310 41472 43520 44064 46080 48960 49152 51840 52224 55080 55296 58752 61440 62208 65280 65536 66096 69120 69632 73440 73728 77760 78336 81920 82620 82944 87040 88128 92160 97920 98304 103680 104448 110160 110592 117504 122880 124416 130560 131072 132192 138240 139264 146880 147456 155520 156672 163840 165240 165888 174080 176256 184320 195840 196608 207360 208896 220320 221184 235008 245760 248832 261120 262144 264384 276480 278528 293760 294912 311040 313344 327680 330480 331776 348160 352512 368640 391680 393216 414720 417792 440640 442368 470016 491520 497664 522240 524288 528768 552960 557056 587520 589824 622080 626688 655360 660960 663552 696320 705024 737280 783360 786432 829440 835584 881280 884736 940032 983040 995328 1044480 1057536 1105920 1114112 1175040 1179648 1244160 1253376 1310720 1321920 1327104 1392640 1410048 1474560 1566720 1572864 1658880 1671168 1762560 1769472 1880064 1966080 1990656 2088960 2115072 2211840 2228224 2350080 2359296 2488320 2506752 2621440 2643840 2654208 2785280 2820096 2949120 3133440 3317760 3342336 3525120 3538944 3760128 3932160 3981312 4177920 4230144 4423680 4456448 4700160 4718592 4976640 5013504 5287680 5308416 5570560 5640192 5898240 6266880 6635520 6684672 7050240 7077888 7520256 7864320 7962624 8355840 8460288 8847360 8912896 9400320 9953280 10027008 10575360 10616832 11141120 11280384 11796480 12533760 13271040 13369344 14100480 14155776 15040512 15925248 16711680 16920576 17694720 18800640 19906560 20054016 21150720 21233664 22282240 22560768 23592960 25067520 26542080 26738688 28200960 30081024 31850496 33423360 33841152 35389440 37601280 39813120 40108032 42301440 42467328 44564480 45121536 50135040 53084160 56401920 60162048 63700992 66846720 67682304 70778880 75202560 79626240 80216064 84602880 90243072 100270080 106168320 112803840 120324096 127401984 133693440 135364608 150405120 159252480 169205760 180486144 200540160 212336640 225607680 240648192 270729216 300810240 318504960 338411520 360972288 401080320 451215360 541458432 601620480 637009920 676823040 721944576 902430720 1082916864 1203240960 1353646080 1804861440 2165833728 2707292160 3609722880 5414584320 10829168640
- Sum of all divisors σ(n): 41221580400
- Sum of proper divisors (its aliquot sum) s(n): 30392411760
- 10829168640 is an abundant number, because the sum of its proper divisors (30392411760) is greater than itself. Its abundance is 19563243120
Bases of 10829168640
- Binary: 10100001010111100000000000000000002
- Hexadecimal: 0x285780000
- Base-36: 4Z3EO00
Squares and roots of 10829168640
- 10829168640 squared (108291686402) is 117270893433559449600
- 10829168640 cubed (108291686403) is 1269946281555483915183980544000
-
The
square root of 10829168640 is 104063.2915105033 -
The
cube root of 10829168640 is 2212.4070768213
Scales and comparisons
How big is 10829168640?- 10,829,168,640 seconds is equal to 344 years, 17 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 10,829,168,640 would take you about six hundred eighty-eight 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 10829168640 cubic inches would be around 184.4 feet tall.
Recreational maths with 10829168640
- 10829168640 backwards is 04686192801
- 10829168640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10829168640's digits is 45
- More coming soon!
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