100042168320
100,042,168,320 is an even composite number composed of six prime numbers multiplied together.
100042168320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 100042168320:
211 × 32 × 5 × 192 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 19 × 31 × 97)See below for interesting mathematical facts about the number 100042168320 from the Numbermatics database.
Names of 100042168320
- Cardinal: 100042168320 can be written as One hundred billion, forty-two million, one hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.0004216832 × 1011
Factors of 100042168320
Divisors of 100042168320
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 31 32 36 38 40 45 48 57 60 62 64 72 76 80 90 93 95 96 97 114 120 124 128 144 152 155 160 171 180 186 190 192 194 228 240 248 256 279 285 288 291 304 310 320 342 360 361 372 380 384 388 456 465 480 485 496 512 558 570 576 582 589 608 620 640 684 720 722 744 760 768 776 855 873 912 930 960 970 992 1024 1083 1116 1140 1152 1164 1178 1216 1240 1280 1368 1395 1440 1444 1455 1488 1520 1536 1552 1710 1746 1767 1805 1824 1843 1860 1920 1940 1984 2048 2166 2232 2280 2304 2328 2356 2432 2480 2560 2736 2790 2880 2888 2910 2945 2976 3007 3040 3072 3104 3249 3420 3492 3534 3610 3648 3686 3720 3840 3880 3968 4332 4365 4464 4560 4608 4656 4712 4864 4960 5120 5301 5415 5472 5529 5580 5760 5776 5820 5890 5952 6014 6080 6144 6208 6498 6840 6984 7068 7220 7296 7372 7440 7680 7760 7936 8664 8730 8835 8928 9021 9120 9215 9216 9312 9424 9728 9920 10240 10602 10830 10944 11058 11160 11191 11520 11552 11640 11780 11904 12028 12160 12416 12996 13680 13968 14136 14440 14592 14744 14880 15035 15360 15520 15872 16245 16587 17328 17460 17670 17856 18042 18240 18430 18432 18624 18848 19456 19840 21204 21660 21888 22116 22320 22382 23040 23104 23280 23560 23808 24056 24320 24832 25992 26505 27063 27360 27645 27936 28272 28880 29184 29488 29760 30070 30720 31040 31744 32490 33174 33573 34656 34920 35017 35340 35712 36084 36480 36860 37248 37696 38912 39680 42408 43320 43776 44232 44640 44764 45105 46080 46208 46560 47120 47616 48112 48640 49664 51984 53010 54126 54720 55290 55872 55955 56544 57133 57760 58368 58976 59520 60140 62080 63488 64980 66348 67146 69312 69840 70034 70680 71424 72168 72960 73720 74496 75392 79360 82935 84816 86640 87552 88464 89280 89528 90210 92160 92416 93120 94240 95232 96224 97280 99328 100719 103968 105051 106020 108252 109440 110580 111744 111910 113088 114266 115520 116736 117952 119040 120280 124160 129960 132696 134292 135315 138624 139680 140068 141360 142848 144336 145920 147440 148992 150784 158720 165870 167865 169632 171399 173280 175085 175104 176928 178560 179056 180420 184832 186240 188480 190464 192448 194560 198656 201438 207936 210102 212040 216504 218880 221160 223488 223820 226176 228532 231040 235904 238080 240560 248320 259920 265392 268584 270630 277248 279360 280136 282720 285665 285696 288672 291840 294880 297984 301568 315153 317440 331740 335730 339264 342798 346560 350170 350208 353856 357120 358112 360840 369664 372480 376960 384896 402876 415872 420204 424080 433008 437760 442320 446976 447640 452352 457064 462080 471808 476160 481120 496640 503595 514197 519840 525255 530784 537168 541260 554496 558720 560272 565440 571330 571392 577344 583680 589760 595968 603136 630306 663480 671460 678528 685596 693120 700340 707712 714240 716224 721680 739328 744960 753920 769792 805752 831744 840408 848160 856995 866016 875520 884640 893952 895280 904704 914128 924160 943616 952320 962240 993280 1007190 1028394 1039680 1050510 1061568 1074336 1082520 1085527 1108992 1117440 1120544 1130880 1142660 1154688 1179520 1206272 1260612 1326960 1342920 1357056 1371192 1386240 1400680 1415424 1428480 1432448 1443360 1489920 1507840 1539584 1575765 1611504 1663488 1680816 1696320 1713990 1732032 1751040 1769280 1787904 1790560 1809408 1828256 1848320 1887232 1924480 2014380 2056788 2079360 2101020 2123136 2148672 2165040 2171054 2217984 2234880 2241088 2261760 2285320 2309376 2359040 2521224 2570985 2653920 2685840 2714112 2742384 2772480 2801360 2830848 2856960 2864896 2886720 2979840 3015680 3079168 3151530 3223008 3256581 3326976 3361632 3392640 3427980 3464064 3538560 3581120 3618816 3656512 3696640 3774464 3848960 4028760 4113576 4158720 4202040 4246272 4297344 4330080 4342108 4469760 4482176 4523520 4570640 4618752 4718080 5042448 5141970 5307840 5371680 5427635 5428224 5484768 5544960 5602720 5661696 5729792 5773440 6031360 6158336 6303060 6446016 6513162 6653952 6723264 6785280 6855960 6928128 7077120 7162240 7313024 7697920 8057520 8227152 8317440 8404080 8492544 8594688 8660160 8684216 8939520 8964352 9047040 9141280 9237504 9436160 9769743 10084896 10283940 10615680 10743360 10855270 10856448 10969536 11089920 11205440 11323392 11459584 11546880 12606120 12892032 13026324 13446528 13570560 13711920 13856256 14154240 14324480 14626048 15395840 16115040 16282905 16454304 16634880 16808160 16985088 17189376 17320320 17368432 17928704 18094080 18282560 18475008 18872320 19539486 20169792 20567880 21231360 21486720 21710540 21939072 22410880 22919168 23093760 25212240 25784064 26052648 26893056 27141120 27423840 27712512 28308480 28648960 29252096 30791680 32230080 32565810 32908608 33269760 33616320 33970176 34378752 34640640 34736864 35857408 36565120 39078972 40339584 41135760 42462720 42973440 43421080 43878144 44821760 46187520 48848715 50424480 51568128 52105296 53786112 54282240 54847680 55425024 56616960 57297920 58504192 64460160 65131620 65817216 67232640 68757504 69281280 69473728 71714816 73130240 78157944 80679168 82271520 84925440 85946880 86842160 87756288 89643520 92375040 97697430 100848960 103136256 104210592 107572224 109695360 114595840 117008384 128920320 130263240 131634432 134465280 138562560 138947456 146260480 156315888 161358336 164543040 169850880 171893760 173684320 175512576 179287040 195394860 201697920 206272512 208421184 215144448 219390720 257840640 260526480 263268864 268930560 277125120 277894912 292520960 312631776 322716672 329086080 343787520 347368640 351025152 358574080 390789720 403395840 416842368 438781440 515681280 521052960 526537728 537861120 555789824 585041920 625263552 645433344 658172160 694737280 781579440 806791680 833684736 877562880 1031362560 1042105920 1053075456 1075722240 1111579648 1250527104 1316344320 1389474560 1563158880 1613583360 1667369472 1755125760 2084211840 2223159296 2501054208 2632688640 2778949120 3126317760 3227166720 3334738944 4168423680 5002108416 5265377280 5557898240 6252635520 6669477888 8336847360 10004216832 11115796480 12505271040 16673694720 20008433664 25010542080 33347389440 50021084160 100042168320
- Sum of all divisors σ(n): 381636178560
- Sum of proper divisors (its aliquot sum) s(n): 281594010240
- 100042168320 is an abundant number, because the sum of its proper divisors (281594010240) is greater than itself. Its abundance is 181551841920
Bases of 100042168320
- Binary: 10111010010101111101001011000000000002
- Hexadecimal: 0x174AFA5800
- Base-36: 19YIIV40
Squares and roots of 100042168320
- 100042168320 squared (1000421683202) is 10008435442167211622400
- 100042168320 cubed (1000421683203) is 1001265583125145810713201082368000
-
The
square root of 100042168320 is 316294.4329576479 -
The
cube root of 100042168320 is 4642.2411686059
Scales and comparisons
How big is 100042168320?- 100,042,168,320 seconds is equal to 3,181 years, 1 week, 4 days, 11 hours, 12 minutes.
-
To count from 1 to 100,042,168,320 would take you about six thousand, three hundred sixty-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 100042168320 cubic inches would be around 386.9 feet tall.
Recreational maths with 100042168320
- 100042168320 backwards is 023861240001
- The number of decimal digits it has is: 12
- The sum of 100042168320's digits is 27
- More coming soon!
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