106407699840
106,407,699,840 is an even composite number composed of six prime numbers multiplied together.
106407699840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106407699840:
27 × 33 × 5 × 132 × 83 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 83 × 439)See below for interesting mathematical facts about the number 106407699840 from the Numbermatics database.
Names of 106407699840
- Cardinal: 106407699840 can be written as One hundred six billion, four hundred seven million, six hundred ninety-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.0640769984 × 1011
Factors of 106407699840
Divisors of 106407699840
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 83 90 96 104 108 117 120 128 130 135 144 156 160 166 169 180 192 195 208 216 234 240 249 260 270 288 312 320 332 338 351 360 384 390 415 416 432 439 468 480 498 507 520 540 576 585 624 640 664 676 702 720 747 780 830 832 845 864 878 936 960 996 1014 1040 1079 1080 1152 1170 1245 1248 1317 1328 1352 1404 1440 1494 1521 1560 1660 1664 1690 1728 1755 1756 1872 1920 1992 2028 2080 2158 2160 2195 2241 2340 2490 2496 2535 2634 2656 2704 2808 2880 2988 3042 3120 3237 3320 3380 3456 3510 3512 3735 3744 3951 3984 4056 4160 4316 4320 4390 4482 4563 4680 4980 4992 5070 5268 5312 5395 5408 5616 5707 5760 5976 6084 6240 6474 6585 6640 6760 7020 7024 7470 7488 7605 7902 7968 8112 8320 8632 8640 8780 8964 9126 9360 9711 9960 10140 10536 10624 10790 10816 11205 11232 11414 11853 11952 12168 12480 12948 13170 13280 13520 14027 14040 14048 14940 14976 15210 15804 15936 16185 16224 17121 17264 17280 17560 17928 18252 18720 19422 19755 19920 20280 21072 21580 21632 22410 22464 22815 22828 23706 23904 24336 24960 25896 26340 26560 27040 28054 28080 28096 28535 29133 29880 30420 31608 31872 32370 32448 34242 34528 35120 35856 36437 36504 37440 38844 39510 39840 40560 42081 42144 43160 44820 44928 45630 45656 47412 47808 48555 48672 51363 51792 52680 53120 54080 56108 56160 56192 57070 58266 59265 59760 60840 63216 64740 64896 68484 69056 70135 70240 71712 72874 73008 74191 74880 77688 79020 79680 81120 84162 84288 85605 86320 89640 91260 91312 94824 95616 97110 97344 102726 103584 105360 108160 109311 112216 112320 114140 116532 118530 119520 121680 126243 126432 129480 136968 138112 140270 140480 143424 145665 145748 146016 148382 154089 155376 158040 159360 162240 168324 168576 171210 172640 179280 182185 182520 182624 189648 194220 194688 205452 207168 210405 210720 218622 222573 224432 224640 228280 233064 237060 239040 243360 252486 252864 256815 258960 273936 280540 280960 286848 291330 291496 292032 296764 308178 310752 316080 324480 327933 336648 342420 345280 358560 364370 365040 365248 370955 378729 379296 388440 410904 414336 420810 421440 437244 445146 448864 456560 466128 473681 474120 478080 486720 504972 505728 513630 517920 546555 547872 561080 582660 582992 584064 593528 616356 621504 631215 632160 655866 667719 673296 684840 690560 717120 728740 730080 730496 741910 757458 758592 770445 776880 821808 841620 842880 874488 890292 897728 913120 932256 947362 948240 973440 983799 1009944 1027260 1035840 1093110 1095744 1112865 1122160 1165320 1165984 1187056 1232712 1243008 1262430 1264320 1311732 1335438 1346592 1369680 1421043 1434240 1457480 1460160 1483820 1514916 1517184 1540890 1553760 1639665 1643616 1683240 1748976 1780584 1795456 1826240 1864512 1893645 1894724 1896480 1967598 2003157 2019888 2054520 2071680 2186220 2191488 2225730 2244320 2330640 2331968 2368405 2374112 2465424 2524860 2528640 2623464 2670876 2693184 2739360 2842086 2914960 2920320 2967640 3029832 3081780 3107520 3279330 3287232 3338595 3366480 3497952 3561168 3652480 3729024 3787290 3789448 3792960 3935196 4006314 4039776 4109040 4263129 4372440 4451460 4488640 4661280 4663936 4736810 4748224 4918995 4930848 5049720 5246928 5341752 5386368 5478720 5684172 5829920 5935280 6059664 6157853 6163560 6215040 6558660 6574464 6677190 6732960 6995904 7105215 7122336 7574580 7578896 7585920 7870392 8012628 8079552 8218080 8526258 8744880 8902920 8977280 9322560 9473620 9496448 9837990 9861696 10015785 10099440 10493856 10683504 10957440 11368344 11659840 11870560 12119328 12315706 12327120 12789387 13117320 13354380 13465920 13991808 14210430 14244672 15149160 15157792 15740784 16025256 16159104 16436160 17052516 17489760 17805840 18473559 18645120 18947240 19675980 19723392 20031570 20198880 20987712 21315645 21367008 22736688 23319680 23741120 24238656 24631412 24654240 25578774 26234640 26708760 26931840 28420860 28489344 30298320 30315584 30789265 31481568 32050512 32872320 34105032 34979520 35611680 36947118 37894480 39351960 40063140 40397760 41975424 42631290 42734016 45473376 47482240 48477312 49262824 49308480 51157548 52469280 53417520 55420677 56841720 60596640 60631168 61578530 62963136 63946935 64101024 68210064 69959040 71223360 73894236 75788960 78703920 80126280 80795520 85262580 85468032 90946752 92367795 98525648 98616960 102315096 104938560 106835040 110841354 113683440 121193280 123157060 125926272 127893870 128202048 136420128 142446720 147788472 151577920 157407840 160252560 166262031 170525160 181893504 184735590 197051296 204630192 209877120 213670080 221682708 227366880 242386560 246314120 255787740 256404096 272840256 277103385 295576944 303155840 314815680 320505120 332524062 341050320 369471180 394102592 409260384 427340160 443365416 454733760 492628240 511575480 545680512 554206770 591153888 629631360 641010240 665048124 682100640 738942360 788205184 818520768 831310155 886730832 909467520 985256480 1023150960 1108413540 1182307776 1282020480 1330096248 1364201280 1477884720 1637041536 1662620310 1773461664 1970512960 2046301920 2216827080 2364615552 2660192496 2728402560 2955769440 3325240620 3546923328 3941025920 4092603840 4433654160 5320384992 5911538880 6650481240 7093846656 8185207680 8867308320 10640769984 11823077760 13300962480 17734616640 21281539968 26601924960 35469233280 53203849920 106407699840
- Sum of all divisors σ(n): 413937216000
- Sum of proper divisors (its aliquot sum) s(n): 307529516160
- 106407699840 is an abundant number, because the sum of its proper divisors (307529516160) is greater than itself. Its abundance is 201121816320
Bases of 106407699840
- Binary: 11000110001100110010010100101100000002
- Hexadecimal: 0x18C664A580
- Base-36: 1CVSEAO0
Squares and roots of 106407699840
- 106407699840 squared (1064076998402) is 11322598585239536025600
- 106407699840 cubed (1064076998403) is 1204811671666977203912911355904000
-
The
square root of 106407699840 is 326201.9310795079 -
The
cube root of 106407699840 is 4738.6833067667
Scales and comparisons
How big is 106407699840?- 106,407,699,840 seconds is equal to 3,383 years, 22 weeks, 4 days, 14 hours, 24 minutes.
-
To count from 1 to 106,407,699,840 would take you about six thousand, seven hundred sixty-six 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 106407699840 cubic inches would be around 394.9 feet tall.
Recreational maths with 106407699840
- 106407699840 backwards is 048996704601
- 106407699840 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106407699840's digits is 54
- More coming soon!
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