13102658400
13,102,658,400 is an even composite number composed of seven prime numbers multiplied together.
13102658400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13102658400:
25 × 3 × 52 × 13 × 19 × 23 × 312
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 23 × 31 × 31)See below for interesting mathematical facts about the number 13102658400 from the Numbermatics database.
Names of 13102658400
- Cardinal: 13102658400 can be written as Thirteen billion, one hundred two million, six hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.31026584 × 1010
Factors of 13102658400
Divisors of 13102658400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 23 24 25 26 30 31 32 38 39 40 46 48 50 52 57 60 62 65 69 75 76 78 80 92 93 95 96 100 104 114 115 120 124 130 138 150 152 155 156 160 184 186 190 195 200 208 228 230 240 247 248 260 276 285 299 300 304 310 312 325 345 368 372 380 390 400 403 416 437 456 460 465 475 480 494 496 520 552 570 575 589 598 600 608 620 624 650 690 713 736 741 744 760 775 780 800 806 874 897 912 920 930 950 961 975 988 992 1040 1104 1140 1150 1178 1196 1200 1209 1235 1240 1248 1300 1311 1380 1425 1426 1482 1488 1495 1520 1550 1560 1612 1725 1748 1767 1794 1824 1840 1860 1900 1922 1950 1976 2015 2080 2139 2185 2208 2280 2300 2325 2356 2392 2400 2418 2470 2480 2600 2622 2760 2850 2852 2883 2945 2964 2976 2990 3040 3100 3120 3224 3450 3496 3534 3565 3588 3680 3705 3720 3800 3844 3900 3952 4030 4278 4370 4485 4560 4600 4650 4712 4784 4805 4836 4940 4960 5200 5244 5520 5681 5700 5704 5766 5890 5928 5980 6045 6175 6200 6240 6448 6555 6900 6992 7068 7130 7176 7410 7440 7475 7600 7657 7688 7800 7904 8060 8556 8740 8835 8970 9120 9200 9269 9300 9424 9568 9610 9672 9880 10075 10400 10488 10695 10925 11040 11362 11400 11408 11532 11780 11856 11960 12090 12350 12400 12493 12896 13110 13547 13800 13984 14136 14260 14352 14415 14725 14820 14880 14950 15200 15314 15376 15600 16120 17043 17112 17480 17670 17825 17940 18259 18400 18525 18538 18600 18848 19220 19344 19760 20150 20976 21390 21850 22103 22425 22724 22800 22816 22971 23064 23560 23712 23920 24025 24180 24700 24800 24986 26220 27094 27600 27807 28272 28405 28520 28704 28830 29450 29640 29900 30225 30628 30752 31200 32240 32775 34086 34224 34960 35340 35650 35880 36518 37050 37076 37200 37479 38285 38440 38688 39520 40300 40641 41952 42780 43700 44175 44206 44850 45448 45600 45942 46128 46345 47120 47840 48050 48360 49400 49972 52440 53475 54188 54777 55200 55614 56544 56810 57040 57660 58900 59280 59800 60450 61256 62465 64480 65550 66309 67735 68172 68448 69920 70680 71300 71760 72075 73036 74100 74152 74400 74958 76570 76880 80600 81282 85215 85560 87400 88350 88412 89700 90896 91295 91884 92256 92690 94240 96100 96720 98800 99944 104880 106950 108376 109554 110515 111228 113620 114080 114855 115320 117800 118560 119600 120900 122512 124930 131100 132618 135470 136344 139035 141360 142025 142600 143520 144150 146072 148200 148304 149916 153140 153760 161200 162564 170430 171120 174800 176111 176700 176824 179400 181792 182590 183768 185380 187395 191425 192200 193440 197600 199888 203205 209760 213900 216752 219108 221030 222456 227240 229710 230640 231725 235600 237367 239200 241800 245024 249860 262200 265236 270940 272688 273885 278070 282720 284050 285200 287339 288300 292144 296400 296608 299832 306280 312325 322400 325128 331545 338675 340860 342240 349600 352222 353400 353648 358800 365180 367536 370760 374790 382850 384400 399776 406410 419957 426075 427800 433504 438216 442060 444912 454480 456475 459420 461280 463450 471200 474734 483600 499720 524400 528333 530472 541880 545376 547770 552575 556140 568100 570400 574275 574678 576600 584288 592800 599664 612560 624650 650256 663090 677350 681720 695175 704444 706800 707296 712101 717600 730360 735072 741520 749580 765700 768800 812820 839914 852150 855600 862017 876432 880555 884120 889824 908960 912950 918840 926900 936975 949468 967200 999440 1016025 1048800 1056666 1060944 1083760 1095540 1105150 1112280 1136200 1148550 1149356 1153200 1186835 1199328 1225120 1249300 1259871 1300512 1326180 1354700 1363440 1369425 1390350 1408888 1413600 1424202 1436695 1460720 1483040 1499160 1531400 1625640 1657725 1679828 1704300 1711200 1724034 1752864 1761110 1768240 1825900 1837680 1853800 1873950 1898936 1998880 2032050 2099785 2113332 2121888 2167520 2191080 2210300 2224560 2272400 2297100 2298712 2306400 2373670 2498600 2519742 2641665 2652360 2709400 2726880 2738850 2780700 2817776 2848404 2873390 2921440 2998320 3062800 3251280 3315450 3359656 3408600 3448068 3522220 3536480 3560505 3651800 3675360 3707600 3747900 3797872 4064100 4199570 4226664 4310085 4382160 4402775 4420600 4449120 4544800 4594200 4597424 4747340 4997200 5039484 5283330 5304720 5418800 5459441 5477700 5561400 5635552 5696808 5746780 5934175 5996640 6125600 6299355 6502560 6630900 6719312 6817200 6896136 7044440 7121010 7183475 7303600 7415200 7495800 7595744 8128200 8399140 8453328 8620170 8764320 8805550 8841200 9188400 9194848 9494680 9994400 10078968 10498925 10566660 10609440 10837600 10918882 10955400 11122800 11393616 11493560 11868350 12598710 13208325 13261800 13438624 13634400 13792272 14088880 14242020 14366950 14607200 14991600 16256400 16378323 16798280 16906656 17240340 17611100 17682400 17802525 18376800 18989360 20157936 20997850 21133320 21550425 21837764 21910800 22245600 22787232 22987120 23736700 25197420 26416650 26523600 27297205 27584544 28177760 28484040 28733900 29983200 31496775 32512800 32756646 33596560 34480680 35222200 35605050 37978720 40315872 41995700 42266640 43100850 43675528 43821600 45974240 47473400 50394840 52833300 53047200 54594410 56968080 57467800 62993550 65513292 67193120 68961360 70444400 71210100 81891615 83991400 84533280 86201700 87351056 94946800 100789680 105666600 109188820 113936160 114935600 125987100 131026584 136486025 137922720 140888800 142420200 163783230 167982800 172403400 174702112 189893600 201579360 211333200 218377640 229871200 251974200 262053168 272972050 284840400 327566460 335965600 344806800 409458075 422666400 436755280 503948400 524106336 545944100 569680800 655132920 689613600 818916150 873510560 1007896800 1091888200 1310265840 1637832300 2183776400 2620531680 3275664600 4367552800 6551329200 13102658400
- Sum of all divisors σ(n): 52129163520
- Sum of proper divisors (its aliquot sum) s(n): 39026505120
- 13102658400 is an abundant number, because the sum of its proper divisors (39026505120) is greater than itself. Its abundance is 25923846720
Bases of 13102658400
- Binary: 11000011001111101010110011011000002
- Hexadecimal: 0x30CFAB360
- Base-36: 60OZFXC
Squares and roots of 13102658400
- 13102658400 squared (131026584002) is 171679657147090560000
- 13102658400 cubed (131026584003) is 2249459901827446161544704000000
-
The
square root of 13102658400 is 114466.8441078025 -
The
cube root of 13102658400 is 2357.5078067489
Scales and comparisons
How big is 13102658400?- 13,102,658,400 seconds is equal to 416 years, 32 weeks, 3 days, 3 hours, 20 minutes.
-
To count from 1 to 13,102,658,400 would take you about eight hundred thirty-three 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 13102658400 cubic inches would be around 196.5 feet tall.
Recreational maths with 13102658400
- 13102658400 backwards is 00485620131
- 13102658400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13102658400's digits is 30
- More coming soon!
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