106972248960
106,972,248,960 is an even composite number composed of seven prime numbers multiplied together.
106972248960 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 106972248960:
27 × 32 × 5 × 29 × 43 × 53 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 43 × 53 × 281)See below for interesting mathematical facts about the number 106972248960 from the Numbermatics database.
Names of 106972248960
- Cardinal: 106972248960 can be written as One hundred six billion, nine hundred seventy-two million, two hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0697224896 × 1011
Factors of 106972248960
Divisors of 106972248960
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 43 45 48 53 58 60 64 72 80 86 87 90 96 106 116 120 128 129 144 145 159 160 172 174 180 192 212 215 232 240 258 261 265 281 288 290 318 320 344 348 360 384 387 424 430 435 464 477 480 516 522 530 562 576 580 636 640 645 688 696 720 774 795 843 848 860 870 928 954 960 1032 1044 1060 1124 1152 1160 1247 1272 1290 1305 1376 1392 1405 1440 1537 1548 1590 1686 1696 1720 1740 1856 1908 1920 1935 2064 2088 2120 2248 2279 2320 2385 2494 2529 2544 2580 2610 2752 2784 2810 2880 3074 3096 3180 3372 3392 3440 3480 3712 3741 3816 3870 4128 4176 4215 4240 4496 4558 4611 4640 4770 4988 5058 5088 5160 5220 5504 5568 5620 5760 6148 6192 6235 6360 6744 6784 6837 6880 6960 7482 7632 7685 7740 8149 8256 8352 8430 8480 8992 9116 9222 9280 9540 9976 10116 10176 10320 10440 11136 11223 11240 11395 12083 12296 12384 12470 12645 12720 13488 13674 13760 13833 13920 14893 14964 15264 15370 15480 16298 16512 16704 16860 16960 17984 18232 18444 18560 18705 19080 19952 20232 20352 20511 20640 20880 22446 22480 22790 23055 24166 24447 24592 24768 24940 25290 25440 26976 27348 27520 27666 27840 29786 29928 30528 30740 30960 32596 33408 33720 33920 34185 35968 36249 36464 36888 37410 38160 39904 40464 40745 41022 41280 41760 44679 44892 44960 45580 46110 48332 48894 49184 49536 49880 50580 50880 53952 54696 55332 55680 56115 59572 59856 60415 61056 61480 61920 65192 66091 67440 68370 69165 72498 72928 73341 73776 74465 74820 76320 79808 80928 81490 82044 82560 83520 89358 89784 89920 91160 92220 96664 97788 98368 99760 101160 101760 102555 107904 108747 109392 110664 112230 119144 119712 120830 122235 122960 123840 130384 132182 134037 134880 136740 138330 144996 145856 146682 147552 148930 149640 152640 159616 161856 162980 164088 167040 178716 179568 179840 181245 182320 184440 193328 195576 196736 198273 199520 202320 205110 217494 218784 221328 223395 224460 238288 239424 241660 244470 245920 247680 260768 264364 268074 269760 273480 276660 289992 291712 293364 295104 297860 299280 305280 323712 325960 328176 330455 350407 357432 359136 362490 364640 366705 368880 386656 391152 396546 399040 404640 410220 431897 434988 437568 442656 446790 448920 476576 478848 483320 488940 491840 521536 528728 536148 539520 543735 546960 553320 579984 586728 590208 594819 595720 598560 640399 651920 656352 660910 670185 700814 714864 718272 724980 729280 733410 737760 773312 782304 793092 798080 809280 820440 863794 869976 875136 885312 893580 897840 953152 966640 977880 983680 991365 1043072 1051221 1057456 1072296 1087470 1093920 1106640 1159968 1173456 1189638 1191440 1197120 1280798 1295691 1303840 1312704 1321820 1340370 1401628 1429728 1436544 1449960 1458560 1466820 1475520 1546624 1564608 1586184 1618560 1640880 1727588 1739952 1752035 1770624 1787160 1795680 1906304 1921197 1933280 1955760 1982730 2102442 2114912 2144592 2159485 2174940 2187840 2213280 2319936 2346912 2379276 2382880 2394240 2561596 2591382 2607680 2625408 2643640 2680740 2803256 2859456 2899920 2933640 2951040 2974095 3129216 3153663 3172368 3201995 3281760 3455176 3479904 3504070 3574320 3591360 3842394 3866560 3887073 3911520 3965460 4204884 4229824 4289184 4318970 4349880 4375680 4426560 4639872 4693824 4758552 4765760 5123192 5182764 5215360 5256105 5287280 5361480 5606512 5718912 5763591 5799840 5867280 5948190 6307326 6344736 6403990 6478455 6563520 6910352 6959808 7008140 7148640 7182720 7684788 7733120 7774146 7823040 7930920 8409768 8459648 8578368 8637940 8699760 8853120 9387648 9517104 9531520 9605985 10246384 10365528 10512210 10574560 10722960 11213024 11527182 11599680 11734560 11896380 12614652 12689472 12807980 12956910 13127040 13820704 13919616 14016280 14297280 15369576 15548292 15646080 15768315 15861840 16819536 17156736 17275880 17399520 18571571 19034208 19211970 19435365 20492768 20731056 21024420 21149120 21445920 22426048 23054364 23199360 23469120 23792760 25229304 25378944 25615960 25913820 27641408 28032560 28594560 28817955 30739152 31096584 31536630 31723680 33639072 34551760 34799040 37143142 38068416 38423940 38870730 40985536 41462112 42048840 42298240 42891840 44852096 46108728 46938240 47585520 50458608 51231920 51827640 55282816 55714713 56065120 57635910 61478304 62193168 63073260 63447360 67278144 69103520 69598080 74286284 76136832 76847880 77741460 81971072 82924224 84097680 85783680 92217456 92857855 95171040 100917216 102463840 103655280 111429426 112130240 115271820 122956608 124386336 126146520 126894720 134556288 138207040 148572568 153695760 155482920 165848448 167144139 168195360 184434912 185715710 190342080 201834432 204927680 207310560 222858852 224260480 230543640 245913216 248772672 252293040 276414080 278573565 297145136 307391520 310965840 334288278 336390720 368869824 371431420 380684160 403668864 409855360 414621120 445717704 461087280 497545344 504586080 557147130 594290272 614783040 621931680 668576556 672781440 737739648 742862840 829242240 835720695 891435408 922174560 1009172160 1114294260 1188580544 1229566080 1243863360 1337153112 1485725680 1671441390 1782870816 1844349120 2018344320 2228588520 2377161088 2487726720 2674306224 2971451360 3342882780 3565741632 3688698240 4457177040 5348612448 5942902720 6685765560 7131483264 8914354080 10697224896 11885805440 13371531120 17828708160 21394449792 26743062240 35657416320 53486124480 106972248960
- Sum of all divisors σ(n): 399808094400
- Sum of proper divisors (its aliquot sum) s(n): 292835845440
- 106972248960 is an abundant number, because the sum of its proper divisors (292835845440) is greater than itself. Its abundance is 185863596480
Bases of 106972248960
- Binary: 11000111010000000101011111011100000002
- Hexadecimal: 0x18E80AFB80
- Base-36: 1D54IJK0
Squares and roots of 106972248960
- 106972248960 squared (1069722489602) is 11443062047560221081600
- 106972248960 cubed (1069722489603) is 1224090082216339330133555675136000
-
The
square root of 106972248960 is 327066.1232228125 -
The
cube root of 106972248960 is 4747.0489364451
Scales and comparisons
How big is 106972248960?- 106,972,248,960 seconds is equal to 3,401 years, 20 weeks, 17 hours, 36 minutes.
-
To count from 1 to 106,972,248,960 would take you about six thousand, eight hundred two 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 106972248960 cubic inches would be around 395.6 feet tall.
Recreational maths with 106972248960
- 106972248960 backwards is 069842279601
- The number of decimal digits it has is: 12
- The sum of 106972248960's digits is 54
- More coming soon!
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The information we have on file for 106972248960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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