106926310400
106,926,310,400 is an even composite number composed of six prime numbers multiplied together.
106926310400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 106926310400:
210 × 52 × 72 × 13 × 79 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 79 × 83)See below for interesting mathematical facts about the number 106926310400 from the Numbermatics database.
Names of 106926310400
- Cardinal: 106926310400 can be written as One hundred six billion, nine hundred twenty-six million, three hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.069263104 × 1011
Factors of 106926310400
Divisors of 106926310400
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 79 80 83 91 98 100 104 112 128 130 140 158 160 166 175 182 196 200 208 224 245 256 260 280 316 320 325 332 350 364 392 395 400 415 416 448 455 490 512 520 553 560 581 632 637 640 650 664 700 728 784 790 800 830 832 896 910 980 1024 1027 1040 1079 1106 1120 1162 1225 1264 1274 1280 1300 1328 1400 1456 1568 1580 1600 1660 1664 1792 1820 1960 1975 2054 2075 2080 2158 2212 2240 2275 2324 2450 2528 2548 2560 2600 2656 2765 2800 2905 2912 3136 3160 3185 3200 3320 3328 3584 3640 3871 3920 3950 4067 4108 4150 4160 4316 4424 4480 4550 4648 4900 5056 5096 5120 5135 5200 5312 5395 5530 5600 5810 5824 6272 6320 6370 6400 6557 6640 6656 7168 7189 7280 7553 7742 7840 7900 8134 8216 8300 8320 8632 8848 8960 9100 9296 9800 10112 10192 10270 10400 10624 10790 11060 11200 11620 11648 12544 12640 12740 12800 13114 13280 13312 13825 14378 14525 14560 15106 15484 15680 15800 15925 16268 16432 16600 16640 17264 17696 17920 18200 18592 19355 19600 20224 20335 20384 20540 20800 21248 21580 22120 22400 23240 23296 25088 25280 25480 25600 25675 26228 26560 26975 27650 28756 29050 29120 30212 30968 31360 31600 31850 32536 32785 32864 33200 33280 34528 35392 35840 35945 36400 37184 37765 38710 39200 40448 40670 40768 41080 41600 42496 43160 44240 44800 45899 46480 46592 50176 50323 50560 50960 51350 52456 52871 53120 53950 55300 57512 58100 58240 60424 61936 62720 63200 63700 65072 65570 65728 66400 66560 69056 70784 71890 72800 74368 75530 77420 78400 80896 81340 81536 82160 83200 84992 85241 86320 88480 89600 91798 92960 93184 96775 100646 101120 101675 101920 102700 104912 105742 106240 107900 110600 115024 116200 116480 120848 123872 125440 126400 127400 130144 131140 131456 132800 138112 141568 143780 145600 148736 151060 154840 156800 162680 163072 163925 164320 166400 170482 172640 176960 179200 179725 183596 185920 188825 193550 201292 202240 203350 203840 205400 209824 211484 212480 215800 221200 229495 230048 232400 232960 241696 247744 250880 251615 252800 254800 260288 262280 262912 264355 265600 276224 283136 287560 291200 297472 302120 309680 313600 321293 325360 326144 327850 328640 332800 340964 345280 353920 359450 367192 371840 377650 387100 402584 404480 406700 407680 410800 419648 422968 424960 426205 431600 442400 458990 460096 464800 465920 483392 495488 503230 505600 509600 520576 524560 525824 528710 531200 552448 566272 575120 582400 594944 596687 604240 619360 627200 642586 650720 652288 655700 657280 681928 690560 707840 718900 734384 743680 755300 774200 805168 813400 815360 821600 839296 845936 852410 863200 884800 917980 920192 929600 966784 990976 1006460 1011200 1019200 1041152 1049120 1051648 1057420 1062400 1104896 1147475 1150240 1164800 1193374 1208480 1238720 1254400 1258075 1285172 1301440 1311400 1314560 1321775 1363856 1381120 1415680 1437800 1468768 1487360 1510600 1548400 1606465 1610336 1626800 1630720 1643200 1678592 1691872 1704820 1726400 1769600 1835960 1840384 1859200 1933568 1981952 2012920 2022400 2038400 2082304 2098240 2114840 2124800 2131025 2294950 2300480 2329600 2386748 2416960 2477440 2516150 2570344 2602880 2622800 2629120 2643550 2727712 2762240 2831360 2875600 2937536 2974720 2983435 3021200 3096800 3212930 3220672 3253600 3261440 3286400 3357184 3383744 3409640 3452800 3539200 3671920 3680768 3718400 3867136 3963904 4025840 4076800 4164608 4176809 4196480 4229680 4262050 4589900 4600960 4773496 4833920 4954880 5032300 5140688 5205760 5245600 5258240 5287100 5455424 5524480 5751200 5875072 5966870 6042400 6193600 6425860 6441344 6507200 6572800 6714368 6767488 6819280 6905600 7078400 7343840 7361536 7436800 7734272 8032325 8051680 8153600 8353618 8392960 8459360 8524100 9179800 9201920 9546992 9667840 9909760 10064600 10281376 10411520 10491200 10574200 10910848 11502400 11750144 11933740 12084800 12387200 12851720 12882688 13014400 13145600 13534976 13638560 13811200 14156800 14687680 14873600 14917175 16064650 16103360 16307200 16707236 16785920 16918720 17048200 18359600 18403840 19093984 19335680 19819520 20129200 20562752 20823040 20884045 20982400 21148400 21821696 23004800 23500288 23867480 24169600 24774400 25703440 25765376 26028800 26291200 27069952 27277120 27622400 29375360 29834350 32129300 32206720 33414472 33571840 33837440 34096400 36719200 36807680 38187968 38671360 40258400 41125504 41768090 41964800 42296800 43643392 46009600 47000576 47734960 48339200 49548800 51406880 51530752 52057600 54139904 54554240 58750720 59668700 64258600 64413440 66828944 67674880 68192800 73438400 76375936 80516800 82251008 83536180 83929600 84593600 87286784 92019200 95469920 96678400 99097600 102813760 104115200 104420225 109108480 117501440 119337400 128517200 128826880 133657888 135349760 136385600 146876800 152751872 161033600 164502016 167072360 167859200 169187200 184038400 190939840 193356800 205627520 208840450 218216960 235002880 238674800 257034400 257653760 267315776 270699520 272771200 293753600 305503744 322067200 329004032 334144720 338374400 381879680 411255040 417680900 436433920 477349600 514068800 534631552 545542400 587507200 611007488 644134400 668289440 676748800 763759360 822510080 835361800 954699200 1028137600 1069263104 1091084800 1175014400 1288268800 1336578880 1353497600 1527518720 1645020160 1670723600 1909398400 2056275200 2138526208 2182169600 2673157760 3055037440 3341447200 3818796800 4112550400 4277052416 5346315520 6682894400 7637593600 8225100800 10692631040 13365788800 15275187200 21385262080 26731577600 53463155200 106926310400
- Sum of all divisors σ(n): 340291969920
- Sum of proper divisors (its aliquot sum) s(n): 233365659520
- 106926310400 is an abundant number, because the sum of its proper divisors (233365659520) is greater than itself. Its abundance is 126439349120
Bases of 106926310400
- Binary: 11000111001010100111000000100000000002
- Hexadecimal: 0x18E54E0400
- Base-36: 1D4D5X4W
Squares and roots of 106926310400
- 106926310400 squared (1069263104002) is 11433235855757148160000
- 106926310400 cubed (1069263104003) is 1222513725989098451174948864000000
-
The
square root of 106926310400 is 326995.8874359123 -
The
cube root of 106926310400 is 4746.3693090385
Scales and comparisons
How big is 106926310400?- 106,926,310,400 seconds is equal to 3,399 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 106,926,310,400 would take you about six thousand, seven hundred ninety-nine 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 106926310400 cubic inches would be around 395.5 feet tall.
Recreational maths with 106926310400
- 106926310400 backwards is 004013629601
- 106926310400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106926310400's digits is 32
- More coming soon!
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