106997960160
106,997,960,160 is an even composite number composed of seven prime numbers multiplied together.
106997960160 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106997960160:
25 × 32 × 5 × 72 × 13 × 67 × 1741
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 67 × 1741)See below for interesting mathematical facts about the number 106997960160 from the Numbermatics database.
Names of 106997960160
- Cardinal: 106997960160 can be written as One hundred six billion, nine hundred ninety-seven million, nine hundred sixty thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.0699796016 × 1011
Factors of 106997960160
Divisors of 106997960160
- Number of divisors d(n): 864
-
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 65 67 70 72 78 80 84 90 91 96 98 104 105 112 117 120 126 130 134 140 144 147 156 160 168 180 182 195 196 201 208 210 224 234 240 245 252 260 268 273 280 288 294 312 315 335 336 360 364 390 392 402 416 420 441 455 468 469 480 490 504 520 536 546 560 585 588 603 624 630 637 670 672 720 728 735 780 784 804 819 840 871 882 910 936 938 980 1005 1008 1040 1072 1092 1120 1170 1176 1206 1248 1260 1274 1340 1365 1407 1440 1456 1470 1560 1568 1608 1638 1680 1741 1742 1764 1820 1872 1876 1911 1960 2010 2016 2080 2144 2184 2205 2340 2345 2352 2412 2520 2548 2613 2680 2730 2814 2912 2940 3015 3120 3185 3216 3276 3283 3360 3482 3484 3528 3640 3744 3752 3822 3920 4020 4095 4221 4355 4368 4410 4680 4690 4704 4824 5040 5096 5223 5226 5360 5460 5628 5733 5880 6030 6097 6240 6370 6432 6552 6566 6964 6968 7035 7056 7280 7504 7644 7839 7840 8040 8190 8442 8705 8710 8736 8820 9360 9380 9555 9648 9849 10080 10192 10446 10452 10720 10920 11256 11466 11760 12060 12187 12194 12740 13065 13104 13132 13928 13936 14070 14112 14560 15008 15288 15669 15678 16080 16380 16415 16884 17410 17420 17640 18291 18720 18760 19110 19296 19698 20384 20892 20904 21105 21840 22512 22633 22932 23520 24120 24374 24388 25480 26115 26130 26208 26264 27856 27872 28140 28665 29547 30485 30576 31338 31356 32160 32760 32830 33768 34820 34840 35280 36561 36582 37520 38220 39195 39396 41784 41808 42210 42679 43680 45024 45266 45864 48240 48748 48776 49245 50960 52230 52260 52528 54873 55712 56280 57330 59094 60935 60970 61152 62676 62712 65520 65660 67536 67899 69640 69680 70560 73122 73164 75040 76440 78345 78390 78792 83568 83616 84420 85309 85358 90532 91455 91728 96480 97496 97552 98490 101920 104460 104520 105056 109683 109746 112560 113165 114660 116647 118188 121870 121940 125352 125424 128037 131040 131320 135072 135798 139280 139360 146244 146328 147735 152880 156690 156780 157584 158431 167136 168840 170618 170716 181064 182805 182910 183456 194992 195104 196980 203697 208920 209040 213395 219366 219492 225120 226330 229320 233294 236376 243740 243880 250704 250848 255927 256074 262640 271596 274365 278560 292488 292656 295470 305760 313380 313560 315168 316862 337680 339495 341236 341432 349941 362128 365610 365820 384111 389984 393960 407394 417840 418080 426545 426790 438732 438984 452660 458640 466588 472752 475293 487480 487760 501408 511854 512148 525280 543192 548415 548730 583235 584976 585312 590940 626760 627120 633724 640185 675360 678990 682472 682864 699882 724256 731220 731640 767781 768222 787920 792155 814788 816529 835680 853090 853580 877464 877968 905320 917280 933176 945504 950586 974960 975520 1018485 1023708 1024296 1049823 1086384 1096830 1097460 1109017 1166470 1169952 1181880 1253520 1254240 1267448 1279635 1280370 1357980 1364944 1365728 1399764 1425879 1462440 1463280 1516411 1535562 1536444 1575840 1584310 1629576 1633058 1706180 1707160 1749705 1754928 1755936 1810640 1866352 1901172 1920555 1949920 2036970 2047416 2048592 2099646 2172768 2193660 2194920 2218034 2332940 2363760 2376465 2449587 2507040 2534896 2559270 2560740 2715960 2729888 2799528 2851758 2924880 2926560 3032822 3071124 3072888 3168620 3259152 3266116 3327051 3412360 3414320 3499410 3509856 3621280 3732704 3802344 3838905 3841110 4073940 4082645 4094832 4097184 4199292 4387320 4389840 4436068 4549233 4665880 4727520 4752930 4899174 5069792 5118540 5121480 5249115 5431920 5545085 5599056 5703516 5715703 5849760 6065644 6142248 6145776 6337240 6518304 6532232 6654102 6824720 6828640 6998820 7129395 7348761 7582055 7604688 7677810 7682220 8147880 8165290 8189664 8398584 8774640 8779680 8872136 9098466 9331760 9505860 9798348 9981153 10237080 10242960 10498230 10614877 10863840 11090170 11198112 11407032 11431406 12131288 12247935 12284496 12291552 12674480 13064464 13308204 13647699 13649440 13997640 14258790 14697522 15164110 15209376 15355620 15364440 16295760 16330580 16635255 16797168 17147109 17549280 17744272 18196932 18663520 19011720 19596696 19962306 20474160 20485920 20996460 21229754 22180340 22746165 22814064 22862812 24262576 24495870 24568992 25348960 26128928 26616408 27295398 27995280 28517580 28578515 29395044 30328220 30711240 30728880 31844631 32591520 32661160 33270510 33594336 34294218 35488544 36393864 36743805 38023440 39193392 39924612 40948320 41992920 42459508 44360680 45492330 45628128 45725624 48525152 48991740 49905765 51441327 53074385 53232816 54590796 55990560 57035160 57157030 58790088 60656440 61422480 61457760 63689262 65322320 66541020 68238495 68588436 72787728 73487610 74304139 76046880 78386784 79849224 83985840 84919016 85735545 88721360 90984660 91451248 95533893 97983480 99811530 102882654 106148770 106465632 109181592 114070320 114314060 117580176 121312880 122844960 127378524 130644640 133082040 136476990 137176872 145575456 146975220 148608278 159223155 159698448 167971680 169838032 171471090 177442720 181969320 182902496 191067786 195966960 199623060 205765308 212297540 218363184 222912417 228140640 228628120 235160352 242625760 254757048 257206635 266164080 272953980 274353744 293950440 297216556 318446310 319396896 339676064 342942180 363938640 371520695 382135572 391933920 399246120 411530616 424595080 436726368 445824834 457256240 477669465 509514096 514413270 532328160 545907960 548707488 587900880 594433112 636892620 668737251 685884360 727877280 743041390 764271144 798492240 823061232 849190160 891649668 914512480 955338930 1019028192 1028826540 1091815920 1114562085 1175801760 1188866224 1273785240 1337474502 1371768720 1486082780 1528542288 1596984480 1646122464 1698380320 1783299336 1910677860 2057653080 2183631840 2229124170 2377732448 2547570480 2674949004 2743537440 2972165560 3057084576 3343686255 3566598672 3821355720 4115306160 4458248340 5095140960 5349898008 5944331120 6687372510 7133197344 7642711440 8230612320 8916496680 10699796016 11888662240 13374745020 15285422880 17832993360 21399592032 26749490040 35665986720 53498980080 106997960160
- Sum of all divisors σ(n): 464510041632
- Sum of proper divisors (its aliquot sum) s(n): 357512081472
- 106997960160 is an abundant number, because the sum of its proper divisors (357512081472) is greater than itself. Its abundance is 250514121312
Bases of 106997960160
- Binary: 11000111010011001001101001101111000002
- Hexadecimal: 0x18E9934DE0
- Base-36: 1D5JTMG0
Squares and roots of 106997960160
- 106997960160 squared (1069979601602) is 11448563478400947225600
- 106997960160 cubed (1069979601603) is 1224972938951175571751011332096000
-
The
square root of 106997960160 is 327105.4266746427 -
The
cube root of 106997960160 is 4747.4292299281
Scales and comparisons
How big is 106997960160?- 106,997,960,160 seconds is equal to 3,402 years, 10 weeks, 4 days, 7 hours, 36 minutes.
-
To count from 1 to 106,997,960,160 would take you about six thousand, eight hundred four 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 106997960160 cubic inches would be around 395.6 feet tall.
Recreational maths with 106997960160
- 106997960160 backwards is 061069799601
- The number of decimal digits it has is: 12
- The sum of 106997960160's digits is 54
- More coming soon!
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