106010365824
106,010,365,824 is an even composite number composed of seven prime numbers multiplied together.
106010365824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106010365824:
27 × 32 × 11 × 17 × 29 × 71 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 29 × 71 × 239)See below for interesting mathematical facts about the number 106010365824 from the Numbermatics database.
Names of 106010365824
- Cardinal: 106010365824 can be written as One hundred six billion, ten million, three hundred sixty-five thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.06010365824 × 1011
Factors of 106010365824
Divisors of 106010365824
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 29 32 33 34 36 44 48 51 58 64 66 68 71 72 87 88 96 99 102 116 128 132 136 142 144 153 174 176 187 192 198 204 213 232 239 261 264 272 284 288 306 319 348 352 374 384 396 408 426 464 478 493 522 528 544 561 568 576 612 638 639 696 704 717 748 781 792 816 852 928 956 957 986 1044 1056 1088 1122 1136 1152 1207 1224 1276 1278 1392 1408 1434 1479 1496 1562 1584 1632 1683 1704 1856 1912 1914 1972 2059 2088 2112 2151 2176 2244 2272 2343 2414 2448 2552 2556 2629 2784 2868 2871 2958 2992 3124 3168 3264 3366 3408 3621 3712 3824 3828 3944 4063 4118 4176 4224 4302 4437 4488 4544 4686 4828 4896 5104 5112 5258 5423 5568 5736 5742 5916 5984 6177 6248 6336 6528 6732 6816 6931 7029 7242 7648 7656 7887 7888 8126 8236 8352 8604 8874 8976 9088 9372 9656 9792 10208 10224 10516 10846 10863 11136 11472 11484 11832 11968 12189 12354 12496 12672 13277 13464 13632 13862 14058 14484 15296 15312 15774 15776 16252 16269 16472 16704 16969 17208 17748 17952 18531 18744 19312 19584 20416 20448 20793 21032 21692 21726 22649 22944 22968 23661 23664 23936 24378 24708 24992 26554 26928 27264 27724 28116 28968 30592 30624 31548 31552 32504 32538 32944 33408 33938 34416 35003 35496 35904 36567 37062 37488 38624 39831 40832 40896 41586 42064 43384 43452 44693 45298 45888 45936 47322 47328 48756 48807 49416 49984 50907 53108 53856 55448 56232 57936 61248 62379 63096 63104 65008 65076 65888 67876 67947 68832 70006 70992 71808 73134 74124 74976 76241 77248 79662 81792 83172 84128 86768 86904 89386 90596 91776 91872 94644 94656 97512 97614 98832 99968 101814 105009 106216 107712 110896 112464 115872 117827 119493 122496 124758 126192 130016 130152 131776 134079 135752 135894 137664 140012 141984 146268 148248 149952 152482 152721 154496 159324 166344 168256 173536 173808 178772 181192 183744 186659 189288 189312 195024 195228 197664 203628 203841 210018 212432 215424 221792 224928 228723 231744 235654 238986 249516 252384 260032 260304 263552 268158 271504 271788 275328 280024 283968 288473 292536 296496 299904 304964 305442 315027 318648 332688 336512 347072 347616 353481 357544 362384 367488 373318 378576 385033 390048 390456 395328 402237 407256 407682 420036 424864 443584 449856 457446 463488 471308 477972 492101 499032 504768 520064 520608 536316 543008 543576 559977 560048 567936 576946 585072 592992 609928 610884 630054 637296 665376 686169 694144 695232 706962 715088 724768 746636 757152 770066 780096 780912 790656 804474 814512 815364 840072 849728 865419 887168 899712 914892 942616 955944 984202 998064 1009536 1041216 1060443 1072632 1086016 1087152 1119954 1120096 1153892 1155099 1170144 1185984 1219856 1221768 1260108 1274592 1296097 1330752 1372338 1390464 1413924 1430176 1449536 1476303 1493272 1514304 1540132 1560192 1561824 1608948 1629024 1630728 1679931 1680144 1699456 1730838 1829784 1885232 1911888 1968404 1996128 2082432 2120886 2145264 2172032 2174304 2239908 2240192 2307784 2310198 2340288 2371968 2439712 2443536 2520216 2549184 2592194 2596257 2661504 2744676 2827848 2860352 2899072 2952606 2986544 3028608 3080264 3123648 3173203 3217896 3258048 3261456 3359862 3360288 3461676 3465297 3659568 3770464 3823776 3888291 3936808 3992256 4241772 4290528 4348608 4428909 4479816 4480384 4615568 4620396 4680576 4879424 4887072 5040432 5098368 5184388 5192514 5413111 5489352 5655696 5720704 5905212 5973088 6160528 6247296 6346406 6435792 6516096 6522912 6719724 6720576 6923352 6930594 7319136 7540928 7647552 7776582 7873616 7984512 8365717 8483544 8581056 8697216 8857818 8959632 9231136 9240792 9519609 9758848 9774144 10080864 10368776 10385028 10826222 10978704 11311392 11664873 11810424 11946176 12321056 12692812 12871584 13045824 13439448 13441152 13846704 13861188 14638272 15081856 15295104 15553164 15747232 16239333 16731434 16967088 17162112 17715636 17919264 18462272 18481584 19039218 19548288 20161728 20737552 20770056 21652444 21957408 22622784 23329746 23620848 23892352 24642112 25097151 25385624 25743168 26091648 26878896 27693408 27722376 28558827 29276544 31106328 31494464 32478666 33462868 33934176 35431272 35838528 36924544 36963168 38078436 40323456 41475104 41540112 43304888 43914816 45245568 46659492 47241696 48717999 49284224 50194302 50771248 51486336 53757792 55386816 55444752 57117654 62212656 62988928 64957332 66925736 67868352 70862544 71677056 73926336 75291453 76156872 82950208 83080224 86609776 87829632 92022887 93318984 94483392 97435998 100388604 101542496 107515584 110773632 110889504 114235308 124425312 129914664 133851472 135736704 141725088 147852672 150582906 152313744 165900416 166160448 173219552 184045774 186637968 188966784 194871996 200777208 203084992 215031168 221779008 228470616 248850624 259829328 267702944 276068661 283450176 301165812 304627488 332320896 346439104 368091548 373275936 389743992 401554416 406169984 443558016 456941232 497701248 519658656 535405888 552137322 566900352 602331624 609254976 692878208 736183096 746551872 779487984 803108832 828205983 913882464 1039317312 1070811776 1104274644 1204663248 1218509952 1472366192 1493103744 1558975968 1606217664 1656411966 1827764928 2078634624 2208549288 2409326496 2944732384 3117951936 3212435328 3312823932 3655529856 4417098576 4818652992 5889464768 6235903872 6625647864 8834197152 9637305984 11778929536 13251295728 17668394304 26502591456 35336788608 53005182912 106010365824
- Sum of all divisors σ(n): 371195136000
- Sum of proper divisors (its aliquot sum) s(n): 265184770176
- 106010365824 is an abundant number, because the sum of its proper divisors (265184770176) is greater than itself. Its abundance is 159174404352
Bases of 106010365824
- Binary: 11000101011101011010111001111100000002
- Hexadecimal: 0x18AEB5CF80
- Base-36: 1CP7U1S0
Squares and roots of 106010365824
- 106010365824 squared (1060103658242) is 11238197662138307198976
- 106010365824 cubed (1060103658243) is 1191365445365703500247538518196224
-
The
square root of 106010365824 is 325592.3307204885 -
The
cube root of 106010365824 is 4732.7777551353
Scales and comparisons
How big is 106010365824?- 106,010,365,824 seconds is equal to 3,370 years, 41 weeks, 4 days, 19 hours, 50 minutes, 24 seconds.
-
To count from 1 to 106,010,365,824 would take you about six thousand, seven hundred forty-one 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 106010365824 cubic inches would be around 394.4 feet tall.
Recreational maths with 106010365824
- 106010365824 backwards is 428563010601
- 106010365824 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106010365824's digits is 36
- More coming soon!
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