12825613312000
12,825,613,312,000 is an even composite number composed of five prime numbers multiplied together.
12825613312000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 12825613312000:
213 × 53 × 292 × 53 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 29 × 53 × 281)See below for interesting mathematical facts about the number 12825613312000 from the Numbermatics database.
Names of 12825613312000
- Cardinal: 12825613312000 can be written as Twelve trillion, eight hundred twenty-five billion, six hundred thirteen million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.2825613312 × 1013
Factors of 12825613312000
Divisors of 12825613312000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 53 58 64 80 100 106 116 125 128 145 160 200 212 232 250 256 265 281 290 320 400 424 464 500 512 530 562 580 640 725 800 841 848 928 1000 1024 1060 1124 1160 1280 1325 1405 1450 1537 1600 1682 1696 1856 2000 2048 2120 2248 2320 2560 2650 2810 2900 3074 3200 3364 3392 3625 3712 4000 4096 4205 4240 4496 4640 5120 5300 5620 5800 6148 6400 6625 6728 6784 7025 7250 7424 7685 8000 8149 8192 8410 8480 8992 9280 10240 10600 11240 11600 12296 12800 13250 13456 13568 14050 14500 14848 14893 15370 16000 16298 16820 16960 17984 18560 20480 21025 21200 22480 23200 24592 25600 26500 26912 27136 28100 29000 29696 29786 30740 32000 32596 33640 33920 35125 35968 37120 38425 40745 40960 42050 42400 44573 44960 46400 49184 51200 53000 53824 54272 56200 58000 59392 59572 61480 64000 65192 67280 67840 70250 71936 74240 74465 76850 81490 84100 84800 89146 89920 92800 98368 102400 105125 106000 107648 108544 112400 116000 118784 119144 122960 128000 130384 134560 135680 140500 143872 148480 148930 153700 162980 168200 169600 178292 179840 185600 192125 196736 203725 204800 210250 212000 215296 217088 222865 224800 232000 236321 237568 238288 245920 256000 260768 269120 271360 281000 287744 296960 297860 307400 325960 336400 339200 356584 359680 371200 372325 384250 393472 407450 420500 424000 430592 431897 434176 445730 449600 464000 472642 476576 491840 512000 521536 538240 542720 562000 575488 593920 595720 614800 651920 672800 678400 713168 719360 742400 744650 768500 786944 814900 841000 848000 861184 863794 891460 899200 928000 945284 953152 983680 1018625 1024000 1043072 1076480 1085440 1114325 1124000 1150976 1181605 1187840 1191440 1229600 1303840 1345600 1356800 1426336 1438720 1484800 1489300 1537000 1573888 1629800 1682000 1696000 1722368 1727588 1782920 1798400 1856000 1861625 1890568 1906304 1967360 2037250 2086144 2152960 2159485 2170880 2228650 2248000 2301952 2363210 2382880 2459200 2607680 2691200 2713600 2852672 2877440 2969600 2978600 3074000 3147776 3259600 3364000 3392000 3444736 3455176 3565840 3596800 3712000 3723250 3781136 3812608 3934720 4074500 4172288 4305920 4318970 4457300 4496000 4726420 4765760 4918400 5215360 5382400 5427200 5571625 5705344 5754880 5908025 5939200 5957200 6148000 6295552 6519200 6728000 6784000 6889472 6910352 7131680 7193600 7424000 7446500 7562272 7625216 7869440 8149000 8344576 8611840 8637940 8914600 8992000 9452840 9531520 9836800 10430720 10764800 10797425 10854400 11143250 11410688 11509760 11816050 11914400 12296000 12525013 12591104 13038400 13456000 13568000 13820704 14263360 14387200 14848000 14893000 15124544 15250432 15738880 16298000 16689152 17223680 17275880 17829200 17984000 18905680 19063040 19673600 20861440 21529600 21594850 22286500 22821376 23632100 23828800 24592000 25050026 26076800 26912000 27136000 27641408 28526720 28774400 29540125 29696000 29786000 30249088 30500864 31477760 32596000 33378304 34447360 34551760 35658400 35968000 37811360 38126080 39347200 41722880 43059200 43189700 44573000 45642752 47264200 47657600 49184000 50100052 52153600 53824000 53987125 54272000 55282816 57053440 57548800 59080250 59572000 60498176 61001728 62625065 62955520 65192000 66756608 69103520 71316800 71936000 75622720 76252160 78694400 83445760 86118400 86379400 89146000 91285504 94528400 95315200 98368000 100200104 104307200 107648000 107974250 110565632 114106880 118160500 119144000 120996352 122003456 125250130 130384000 138207040 142633600 143872000 151245440 152504320 157388800 166891520 172236800 172758800 178292000 182571008 189056800 190630400 196736000 200400208 208614400 215296000 215948500 221131264 228213760 236321000 238288000 241992704 250500260 260768000 276414080 285267200 287744000 302490880 305008640 313125325 314777600 333783040 345517600 356584000 365142016 378113600 381260800 393472000 400800416 417228800 430592000 431897000 442262528 456427520 472642000 476576000 483985408 501000520 521536000 552828160 570534400 604981760 610017280 626250650 691035200 713168000 756227200 762521600 786944000 801600832 834457600 861184000 863794000 884525056 912855040 945284000 953152000 967970816 1002001040 1043072000 1105656320 1141068800 1209963520 1252501300 1382070400 1426336000 1512454400 1525043200 1565626625 1573888000 1603201664 1668915200 1727588000 1769050112 1825710080 1890568000 1906304000 1935941632 2004002080 2086144000 2211312640 2282137600 2419927040 2505002600 2764140800 2852672000 3024908800 3050086400 3131253250 3206403328 3455176000 3538100224 3781136000 3812608000 4008004160 4172288000 4422625280 4564275200 4839854080 5010005200 5528281600 5705344000 6049817600 6262506500 6412806656 6910352000 7562272000 7625216000 8016008320 8344576000 8845250560 9128550400 9679708160 10020010400 11056563200 11410688000 12099635200 12525013000 12825613312 13820704000 15124544000 15250432000 16032016640 17690501120 20040020800 22113126400 22821376000 24199270400 25050026000 25651226624 27641408000 30249088000 32064033280 40080041600 44226252800 45642752000 48398540800 50100052000 51302453248 55282816000 60498176000 64128066560 80160083200 88452505600 100200104000 102604906496 110565632000 120996352000 128256133120 160320166400 200400208000 221131264000 241992704000 256512266240 320640332800 400800416000 442262528000 513024532480 641280665600 801600832000 1282561331200 1603201664000 2565122662400 3206403328000 6412806656000 12825613312000
- Sum of all divisors σ(n): 33898388503824
- Sum of proper divisors (its aliquot sum) s(n): 21072775191824
- 12825613312000 is an abundant number, because the sum of its proper divisors (21072775191824) is greater than itself. Its abundance is 8247161879824
Bases of 12825613312000
- Binary: 101110101010001100100010000000100000000000002
- Hexadecimal: 0xBAA32202000
- Base-36: 4JO070NWG
Squares and roots of 12825613312000
- 12825613312000 squared (128256133120002) is 164496356828951609344000000
- 12825613312000 cubed (128256133120003) is 2109766663920903867806229987328000000000
-
The
square root of 12825613312000 is 3581286.5442463551 -
The
cube root of 12825613312000 is 23407.7343804809
Scales and comparisons
How big is 12825613312000?- 12,825,613,312,000 seconds is equal to 407,814 years, 43 weeks, 1 day, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,825,613,312,000 would take you about one million, nineteen thousand, five hundred thirty-seven 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 12825613312000 cubic inches would be around 1950.6 feet tall.
Recreational maths with 12825613312000
- 12825613312000 backwards is 00021331652821
- The number of decimal digits it has is: 14
- The sum of 12825613312000's digits is 34
- More coming soon!
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