107059417920
107,059,417,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 107059417920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1134 divisors.
107059417920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 107059417920:
26 × 32 × 5 × 72 × 132 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 67 × 67)See below for interesting mathematical facts about the number 107059417920 from the Numbermatics database.
Names of 107059417920
- Cardinal: 107059417920 can be written as One hundred seven billion, fifty-nine million, four hundred seventeen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0705941792 × 1011
Factors of 107059417920
Divisors of 107059417920
- Number of divisors d(n): 1134
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 64 65 67 70 72 78 80 84 90 91 96 98 104 105 112 117 120 126 130 134 140 144 147 156 160 168 169 180 182 192 195 196 201 208 210 224 234 240 245 252 260 268 273 280 288 294 312 315 320 335 336 338 360 364 390 392 402 416 420 441 448 455 468 469 480 490 504 507 520 536 546 560 576 585 588 603 624 630 637 670 672 676 720 728 735 780 784 804 819 832 840 845 871 882 910 936 938 960 980 1005 1008 1014 1040 1072 1092 1120 1170 1176 1183 1206 1248 1260 1274 1340 1344 1352 1365 1407 1440 1456 1470 1521 1560 1568 1608 1638 1680 1690 1742 1764 1820 1872 1876 1911 1960 2010 2016 2028 2080 2144 2184 2205 2240 2340 2345 2352 2366 2412 2496 2520 2535 2548 2613 2680 2704 2730 2814 2880 2912 2940 3015 3042 3120 3136 3185 3216 3276 3283 3360 3380 3484 3528 3549 3640 3744 3752 3822 3920 4020 4032 4056 4095 4160 4221 4288 4355 4368 4410 4489 4680 4690 4704 4732 4824 5040 5070 5096 5226 5360 5408 5460 5628 5733 5824 5880 5915 6030 6084 6097 6240 6370 6432 6552 6566 6720 6760 6968 7035 7056 7098 7280 7488 7504 7605 7644 7839 7840 8040 8112 8190 8281 8442 8710 8736 8820 8978 9360 9380 9408 9464 9555 9648 9849 10080 10140 10192 10452 10647 10720 10816 10920 11256 11323 11466 11760 11830 12060 12168 12194 12480 12740 12864 13065 13104 13132 13467 13520 13936 14070 14112 14196 14560 15008 15210 15288 15678 15680 16080 16224 16380 16415 16562 16884 17420 17472 17640 17745 17956 18291 18720 18760 18928 19110 19296 19698 20160 20280 20384 20904 21105 21294 21440 21840 22445 22512 22646 22932 23520 23660 24120 24336 24388 24843 25480 26130 26208 26264 26934 27040 27872 28140 28224 28392 28665 29120 29547 30016 30420 30485 30576 31356 31423 32160 32448 32760 32830 33124 33768 33969 34840 35280 35490 35912 36582 37440 37520 37856 38220 38592 39195 39396 40401 40560 40768 41405 41808 42210 42588 42679 43680 44890 45024 45292 45864 47040 47320 48240 48672 48776 49245 49686 50960 52260 52416 52528 53235 53868 54080 54873 55744 56280 56615 56784 57330 58357 59094 60840 60970 61152 62712 62846 64320 65520 65660 66248 67335 67536 67938 69680 70560 70980 71824 73164 74529 75040 75712 76440 78390 78792 79261 80802 81120 82810 83616 84420 85176 85358 87360 89780 90048 90584 91455 91728 94269 94640 96480 97344 97552 98490 99372 101907 101920 104520 105056 106470 107736 109746 112560 113230 113568 114660 116714 118188 121680 121940 122304 124215 125424 125692 128037 131040 131320 132496 134670 135072 135876 139360 141120 141960 143648 146328 147735 149058 150080 152880 156780 157115 157584 158522 161604 162240 165620 167232 168840 169845 170352 170716 175071 179560 181168 182910 183456 188538 189280 192960 195104 196980 198744 202005 203814 203840 209040 210112 212940 213395 215472 219492 219961 225120 226460 227136 229320 233428 236376 237783 243360 243880 248430 250848 251384 256074 262080 262640 264992 269340 270144 271752 274365 278720 282807 283920 287296 291785 292656 295470 298116 305760 313560 314230 315168 317044 323208 331240 337680 339690 340704 341432 350142 359120 362336 365820 366912 372645 377076 378560 384111 390208 393960 396305 397488 404010 407628 408499 418080 425880 426790 430944 438984 439922 450240 452920 458640 466856 471345 472752 475566 486720 487760 496860 501696 502768 509535 512148 525213 525280 529984 538680 543504 548730 554827 565614 567840 583570 585312 590940 596232 611520 627120 628460 630336 634088 640185 646416 659883 662480 675360 679380 681408 682864 700284 713349 718240 724672 731640 745290 754152 758641 768222 787920 792610 794976 808020 815256 816998 836160 851760 853580 861888 875355 877968 879844 905840 917280 933712 942690 945504 951132 975520 993720 1005536 1019070 1024296 1050426 1050560 1077360 1087008 1097460 1099805 1109654 1131228 1135680 1167140 1170624 1181880 1188915 1192464 1225497 1254240 1256920 1268176 1280370 1292832 1319766 1324960 1350720 1358760 1365728 1400568 1414035 1426698 1436480 1463280 1490580 1508304 1517282 1536444 1575840 1585220 1589952 1616040 1630512 1633996 1664481 1703520 1707160 1750710 1755936 1759688 1811680 1834560 1867424 1885380 1891008 1902264 1920555 1951040 1979649 1987440 2011072 2038140 2042495 2048592 2100852 2154720 2174016 2194920 2199610 2219308 2262456 2275923 2334280 2363760 2377830 2384928 2450994 2508480 2513840 2536352 2560740 2585664 2626065 2639532 2649920 2717520 2731456 2774135 2801136 2828070 2853396 2859493 2926560 2981160 3016608 3034564 3072888 3151680 3170440 3232080 3261024 3267992 3299415 3328962 3407040 3414320 3501420 3511872 3519376 3566745 3623360 3676491 3734848 3770760 3793205 3804528 3841110 3959298 3974880 4076280 4084990 4097184 4201704 4309440 4389840 4399220 4438616 4524912 4551846 4668560 4727520 4755660 4769856 4901988 4993443 5027680 5072704 5121480 5252130 5279064 5310487 5435040 5548270 5602272 5656140 5706792 5718986 5853120 5962320 6033216 6069128 6127485 6145776 6340880 6464160 6522048 6535984 6598830 6657924 6827769 6828640 7002840 7038752 7133490 7352982 7541520 7586410 7609056 7682220 7918596 7949760 8152560 8169980 8194368 8322405 8403408 8578479 8779680 8798440 8877232 9049824 9103692 9337120 9455040 9511320 9803976 9898245 9986886 10055360 10242960 10504260 10558128 10620974 10870080 11096540 11204544 11312280 11379615 11413584 11437972 11924640 12138256 12254970 12291552 12681760 12928320 13071968 13197660 13315848 13655538 13657280 14005680 14077504 14266980 14297465 14705964 15083040 15172820 15218112 15364440 15837192 15931461 16305120 16339960 16644810 16806816 17156958 17559360 17596880 17754464 18099648 18207384 18382455 18674240 19022640 19607952 19796490 19973772 20485920 21008520 21116256 21241948 22193080 22624560 22759230 22827168 22875944 23849280 24276512 24509940 24583104 24967215 25363520 25735437 26143936 26395320 26552435 26631696 27311076 28011360 28533960 28594930 29411928 30166080 30345640 30728880 31674384 31862922 32610240 32679920 33289620 33613632 34138845 34313916 35193760 35508928 36414768 36764910 37173409 38045280 39215904 39592980 39947544 40971840 42017040 42232512 42483896 42892395 44386160 45249120 45518460 45654336 45751888 47794383 48553024 49019880 49934430 51470874 52790640 53104870 53263392 54622152 56022720 57067920 57189860 58823856 60691280 61457760 63348768 63725844 65359840 66579240 68277690 68627832 70387520 72829536 73529820 74346818 76090560 78431808 79185960 79657305 79895088 84034080 84967792 85784790 88772320 90498240 91036920 91503776 95588766 98039760 99868860 102941748 105581280 106209740 106526784 109244304 111520227 114135840 114379720 117647712 121382560 122915520 126697536 127451688 128677185 130719680 133158480 136555380 137255664 145659072 147059640 148693636 158371920 159314610 159790176 168068160 169935584 171569580 177544640 182073840 183007552 185867045 191177532 196079520 199737720 205883496 211162560 212419480 218488608 223040454 228271680 228759440 235295424 238971915 242765120 254903376 257354370 266316960 273110760 274511328 294119280 297387272 316743840 318629220 319580352 334560681 339871168 343139160 364147680 371734090 382355064 392159040 399475440 411766992 424838960 436977216 446080908 457518880 477943830 509806752 514708740 532633920 546221520 549022656 557601135 588238560 594774544 633487680 637258440 669121362 686278320 728295360 743468180 764710128 798950880 823533984 849677920 892161816 915037760 955887660 1019613504 1029417480 1092443040 1115202270 1176477120 1189549088 1274516880 1338242724 1372556640 1486936360 1529420256 1597901760 1647067968 1672803405 1699355840 1784323632 1911775320 2058834960 2184886080 2230404540 2379098176 2549033760 2676485448 2745113280 2973872720 3058840512 3345606810 3568647264 3823550640 4117669920 4460809080 5098067520 5352970896 5947745440 6691213620 7137294528 7647101280 8235339840 8921618160 10705941792 11895490880 13382427240 15294202560 17843236320 21411883584 26764854480 35686472640 53529708960 107059417920
- Sum of all divisors σ(n): 470872467702
- Sum of proper divisors (its aliquot sum) s(n): 363813049782
- 107059417920 is an abundant number, because the sum of its proper divisors (363813049782) is greater than itself. Its abundance is 256753631862
Bases of 107059417920
- Binary: 11000111011010011110100010011010000002
- Hexadecimal: 0x18ED3D1340
- Base-36: 1D6KEVK0
Squares and roots of 107059417920
- 107059417920 squared (1070594179202) is 11461718965369217126400
- 107059417920 cubed (1070594179203) is 1227084960795053023438479065088000
-
The
square root of 107059417920 is 327199.3550115893 -
The
cube root of 107059417920 is 4748.3380027737
Scales and comparisons
How big is 107059417920?- 107,059,417,920 seconds is equal to 3,404 years, 8 weeks, 1 day, 15 hours, 12 minutes.
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To count from 1 to 107,059,417,920 would take you about six thousand, eight hundred eight 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 107059417920 cubic inches would be around 395.7 feet tall.
Recreational maths with 107059417920
- 107059417920 backwards is 029714950701
- 107059417920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 107059417920's digits is 45
- More coming soon!
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The information we have on file for 107059417920 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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