106031122861440
106,031,122,861,440 is an even composite number composed of seven prime numbers multiplied together.
106031122861440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 106031122861440:
27 × 3 × 5 × 73 × 19 × 412 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 19 × 41 × 41 × 71 × 71)See below for interesting mathematical facts about the number 106031122861440 from the Numbermatics database.
Names of 106031122861440
- Cardinal: 106031122861440 can be written as One hundred six trillion, thirty-one billion, one hundred twenty-two million, eight hundred sixty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0603112286144 × 1014
Factors of 106031122861440
Divisors of 106031122861440
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 41 42 48 49 56 57 60 64 70 71 76 80 82 84 95 96 98 105 112 114 120 123 128 133 140 142 147 152 160 164 168 190 192 196 205 210 213 224 228 240 245 246 266 280 284 285 287 294 304 320 328 336 343 355 380 384 392 399 410 420 426 448 456 480 490 492 497 532 560 568 570 574 588 608 615 640 656 665 672 686 710 735 760 779 784 798 820 840 852 861 896 912 931 960 980 984 994 1029 1064 1065 1120 1136 1140 1148 1176 1216 1230 1312 1330 1344 1349 1372 1420 1435 1470 1491 1520 1558 1568 1596 1640 1680 1681 1704 1715 1722 1824 1862 1920 1960 1968 1988 1995 2009 2058 2128 2130 2240 2272 2280 2296 2337 2352 2432 2460 2485 2624 2660 2688 2698 2744 2793 2840 2870 2911 2940 2982 3040 3116 3136 3192 3280 3360 3362 3408 3430 3444 3479 3648 3724 3895 3920 3936 3976 3990 4018 4047 4116 4256 4260 4305 4480 4544 4560 4592 4655 4674 4704 4920 4970 5041 5043 5145 5248 5320 5396 5453 5488 5586 5680 5740 5822 5880 5964 6027 6080 6232 6272 6384 6517 6560 6720 6724 6745 6816 6860 6888 6958 7296 7448 7455 7790 7840 7872 7952 7980 8036 8094 8232 8405 8512 8520 8610 8733 9088 9120 9184 9310 9348 9408 9443 9840 9940 10045 10082 10086 10290 10437 10640 10792 10906 10976 11172 11360 11480 11644 11685 11760 11767 11928 12054 12160 12464 12768 13034 13120 13440 13448 13490 13632 13720 13776 13916 13965 14063 14555 14896 14910 15123 15580 15680 15744 15904 15960 16072 16188 16359 16464 16810 17024 17040 17220 17395 17466 18240 18368 18620 18696 18816 18886 19551 19680 19880 20090 20164 20172 20235 20377 20580 20874 21280 21584 21812 21952 22344 22720 22960 23288 23370 23520 23534 23856 24108 24353 24928 25205 25215 25536 26068 26240 26896 26980 27264 27265 27440 27552 27832 27930 28126 28329 29110 29792 29820 30135 30246 31160 31360 31808 31920 31939 32144 32376 32585 32718 32928 33620 34080 34440 34790 34932 35287 35301 36480 36736 37240 37392 37772 38171 39102 39360 39760 40180 40328 40344 40470 40754 41160 41748 42189 42560 43168 43624 43665 43904 44688 45440 45920 46576 46740 47040 47068 47215 47712 48216 48706 49856 50410 50430 51072 52136 52185 53792 53960 54530 54880 55104 55309 55664 55860 56252 56658 58220 58835 59584 59640 60270 60492 61131 62320 63616 63840 63878 64288 64752 65170 65436 65856 66101 67240 68160 68880 69580 69864 70315 70574 70602 73059 74480 74784 75544 75615 76342 78204 78720 79520 80360 80656 80688 80940 81508 81795 82320 82369 83496 84378 85120 86336 87248 87330 89376 91840 93152 93480 94080 94136 94430 95424 95779 95817 96432 97412 97755 99712 100820 100860 101885 104272 104370 105861 107584 107920 109060 109760 110208 110618 111328 111720 112504 113316 114513 116440 117670 119168 119280 119351 120540 120984 121765 122262 124640 127680 127756 128576 129504 130340 130872 131712 132202 134480 136320 137760 139160 139728 140630 141148 141204 141645 142639 146118 148960 149568 151088 151230 152684 156408 159040 159695 160720 161312 161376 161880 163016 163590 164640 164738 165927 166992 168756 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99653310960 103042879360 106671149760 107755206160 108195023328 110449086314 113889498240 116262196120 118338306765 123148807040 124449674720 126227527216 129306247392 132871081280 135243779160 136111839360 139514635344 144260031104 149339609664 154564319040 157784409020 159445297536 161632809240 165673629471 172408329856 174393294180 180325038880 184723210560 186019513792 186674512080 189341290824 199306621920 213342299520 215510412320 216390046656 220898172628 232524392240 236676613530 248899349440 252455054432 258612494784 265742162560 270487558320 276122715785 279029270688 298679219328 309128638080 315568818040 323265618480 331347258942 348786588360 360650077760 369446421120 372039027584 373349024160 378682581648 398613243840 431020824640 432780093312 441796345256 465048784480 473353227060 497798698880 504910108864 517224989568 540975116640 552245431570 558058541376 631137636080 646531236960 662694517884 697573176720 721300155520 746698048320 757365163296 797226487680 828368147355 862041649280 883592690512 930097568960 946706454120 1009820217728 1081950233280 1104490863140 1116117082752 1262275272160 1293062473920 1325389035768 1395146353440 1493396096640 1514730326592 1656736294710 1767185381024 1860195137920 1893412908240 2163900466560 2208981726280 2524550544320 2586124947840 2650778071536 2790292706880 3029460653184 3313472589420 3534370762048 3786825816480 4417963452560 5049101088640 5301556143072 5580585413760 6626945178840 7068741524096 7573651632960 8835926905120 10603112286144 13253890357680 15147303265920 17671853810240 21206224572288 26507780715360 35343707620480 53015561430720 106031122861440
- Sum of all divisors σ(n): 431322863040000
- Sum of proper divisors (its aliquot sum) s(n): 325291740178560
- 106031122861440 is an abundant number, because the sum of its proper divisors (325291740178560) is greater than itself. Its abundance is 219260617317120
Bases of 106031122861440
- Binary: 110000001101111010010110110100111001101100000002
- Hexadecimal: 0x606F4B69CD80
- Base-36: 11L20WWQDC
Squares and roots of 106031122861440
- 106031122861440 squared (1060311228614402) is 11242599015257784213438873600
- 106031122861440 cubed (1060311228614403) is 1192065397468702475088476879048962473984000
-
The
square root of 106031122861440 is 10297141.4898232801 -
The
cube root of 106031122861440 is 47330.8663069759
Scales and comparisons
How big is 106031122861440?- 106,031,122,861,440 seconds is equal to 3,371,461 years, 38 weeks, 3 hours, 44 minutes.
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To count from 1 to 106,031,122,861,440 would take you about eight million, four hundred twenty-eight thousand, six hundred fifty-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 106031122861440 cubic inches would be around 3944.2 feet tall.
Recreational maths with 106031122861440
- 106031122861440 backwards is 044168221130601
- The number of decimal digits it has is: 15
- The sum of 106031122861440's digits is 39
- More coming soon!
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The information we have on file for 106031122861440 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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