130132742400
130,132,742,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 130132742400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
130132742400 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 130132742400:
28 × 33 × 52 × 17 × 31 × 1429
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 31 × 1429)See below for interesting mathematical facts about the number 130132742400 from the Numbermatics database.
Names of 130132742400
- Cardinal: 130132742400 can be written as One hundred thirty billion, one hundred thirty-two million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.301327424 × 1011
Factors of 130132742400
Divisors of 130132742400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 31 32 34 36 40 45 48 50 51 54 60 62 64 68 72 75 80 85 90 93 96 100 102 108 120 124 128 135 136 144 150 153 155 160 170 180 186 192 200 204 216 225 240 248 255 256 270 272 279 288 300 306 310 320 340 360 372 384 400 408 425 432 450 459 465 480 496 510 527 540 544 558 576 600 612 620 640 675 680 720 744 765 768 775 800 816 837 850 864 900 918 930 960 992 1020 1054 1080 1088 1116 1152 1200 1224 1240 1275 1280 1350 1360 1395 1429 1440 1488 1530 1550 1581 1600 1632 1674 1700 1728 1800 1836 1860 1920 1984 2040 2108 2160 2176 2232 2295 2304 2325 2400 2448 2480 2550 2635 2700 2720 2790 2858 2880 2976 3060 3100 3162 3200 3264 3348 3400 3456 3600 3672 3720 3825 3840 3968 4080 4185 4216 4287 4320 4352 4464 4590 4650 4743 4800 4896 4960 5100 5270 5400 5440 5580 5716 5760 5952 6120 6200 6324 6400 6528 6696 6800 6912 6975 7145 7200 7344 7440 7650 7905 7936 8160 8370 8432 8574 8640 8928 9180 9300 9486 9600 9792 9920 10200 10540 10800 10880 11160 11432 11475 11520 11904 12240 12400 12648 12861 13056 13175 13392 13600 13950 14229 14290 14400 14688 14880 15300 15810 16320 16740 16864 17148 17280 17856 18360 18600 18972 19200 19584 19840 20400 20925 21080 21435 21600 21760 22320 22864 22950 23715 23808 24293 24480 24800 25296 25722 26350 26784 27200 27900 28458 28580 28800 29376 29760 30600 31620 32640 33480 33728 34296 34560 35712 35725 36720 37200 37944 38583 39168 39525 39680 40800 41850 42160 42870 43200 44299 44640 45728 45900 47430 48586 48960 49600 50592 51444 52700 53568 54400 55800 56916 57160 57600 58752 59520 61200 63240 64305 65280 66960 67456 68592 71145 71424 71450 72879 73440 74400 75888 77166 79050 81600 83700 84320 85740 86400 88598 89280 91456 91800 94860 97172 97920 99200 101184 102888 105400 107136 107175 108800 111600 113832 114320 117504 118575 119040 121465 122400 126480 128610 132897 133920 134912 137184 142290 142900 145758 146880 148800 151776 154332 158100 163200 167400 168640 171480 172800 177196 178560 182912 183600 189720 192915 194344 195840 198400 202368 205776 210800 214272 214350 218637 221495 223200 227664 228640 237150 242930 244800 252960 257220 265794 267840 274368 284580 285800 291516 293760 297600 303552 308664 316200 321525 326400 334800 337280 342960 354392 355725 357120 364395 365824 367200 379440 385830 388688 398691 404736 411552 421600 428700 437274 442990 446400 455328 457280 474300 485860 489600 505920 514440 531588 535680 548736 569160 571600 583032 587520 595200 607104 607325 617328 632400 643050 655911 664485 669600 674560 685920 708784 711450 728790 734400 753083 758880 771660 777376 797382 823104 843200 857400 874548 885980 892800 910656 914560 948600 964575 971720 979200 1011840 1028880 1063176 1071360 1093185 1097472 1107475 1138320 1143200 1166064 1196073 1214208 1214650 1234656 1264800 1286100 1311822 1328970 1339200 1371840 1417568 1422900 1457580 1468800 1506166 1517760 1543320 1554752 1594764 1646208 1686400 1714800 1749096 1771960 1785600 1821312 1821975 1829120 1897200 1929150 1943440 1993455 2023680 2057760 2126352 2186370 2214950 2259249 2276640 2286400 2332128 2392146 2429300 2469312 2529600 2572200 2623644 2657940 2678400 2743680 2835136 2845800 2915160 2937600 3012332 3035520 3086640 3109504 3189528 3279555 3292416 3322425 3372800 3429600 3498192 3543920 3642624 3643950 3765415 3794400 3858300 3886880 3986910 4115520 4252704 4372740 4429900 4518498 4553280 4572800 4664256 4784292 4858600 4938624 5059200 5144400 5247288 5315880 5356800 5465925 5487360 5670272 5691600 5830320 5980365 6024664 6071040 6173280 6219008 6379056 6559110 6644850 6777747 6859200 6996384 7087840 7287900 7530830 7588800 7716600 7773760 7973820 8231040 8505408 8745480 8859800 9036996 9106560 9145600 9328512 9568584 9717200 9877248 9967275 10118400 10288800 10494576 10631760 10931850 11296245 11340544 11383200 11660640 11960730 12049328 12346560 12758112 13118220 13289700 13555494 13718400 13992768 14175680 14575800 15061660 15177600 15433200 15547520 15947640 16397775 16462080 17010816 17490960 17719600 18073992 18213120 18657024 18827075 19137168 19434400 19934550 20333241 20577600 20989152 21263520 21863700 22592490 22766400 23321280 23921460 24098656 24693120 25516224 26236440 26579400 27110988 27436800 27985536 28351360 29151600 29901825 30123320 30355200 30866400 31095040 31895280 32795550 33888735 34021632 34981920 35439200 36147984 37654150 38274336 38868800 39869100 40666482 41155200 41978304 42527040 43727400 45184980 45532800 46642560 47842920 48197312 49386240 51032448 52472880 53158800 54221976 55971072 56481225 56702720 58303200 59803650 60246640 61732800 63790560 65591100 67777470 69963840 70878400 72295968 75308300 76548672 77737600 79738200 81332964 82310400 83956608 85054080 87454800 90369960 91065600 93285120 95685840 96394624 101666205 102064896 104945760 106317600 108443952 112962450 116606400 119607300 120493280 123465600 127581120 131182200 135554940 139927680 141756800 144591936 150616600 153097344 155475200 159476400 162665928 167913216 169443675 170108160 174909600 180739920 191371680 192789248 203332410 209891520 212635200 216887904 225924900 233212800 239214600 240986560 246931200 255162240 262364400 271109880 279855360 283513600 289183872 301233200 306194688 318952800 325331856 338887350 349819200 361479840 382743360 406664820 419783040 425270400 433775808 451849800 466425600 478429200 481973120 508331025 510324480 524728800 542219760 578367744 602466400 637905600 650663712 677774700 699638400 722959680 765486720 813329640 839566080 850540800 867551616 903699600 956858400 963946240 1016662050 1049457600 1084439520 1204932800 1275811200 1301327424 1355549400 1399276800 1445919360 1530973440 1626659280 1735103232 1807399200 1913716800 2033324100 2098915200 2168879040 2409865600 2551622400 2602654848 2711098800 2891838720 3253318560 3614798400 3827433600 4066648200 4197830400 4337758080 4819731200 5205309696 5422197600 6506637120 7229596800 7654867200 8133296400 8675516160 10844395200 13013274240 14459193600 16266592800 21688790400 26026548480 32533185600 43377580800 65066371200 130132742400
- Sum of all divisors σ(n): 521916595200
- Sum of proper divisors (its aliquot sum) s(n): 391783852800
- 130132742400 is an abundant number, because the sum of its proper divisors (391783852800) is greater than itself. Its abundance is 261651110400
Bases of 130132742400
- Binary: 11110010011001000010000010001000000002
- Hexadecimal: 0x1E4C841100
- Base-36: 1NS5OAO0
Squares and roots of 130132742400
- 130132742400 squared (1301327424002) is 16934530644544757760000
- 130132742400 cubed (1301327424003) is 2203736914031448926852481024000000
-
The
square root of 130132742400 is 360739.1611677333 -
The
cube root of 130132742400 is 5067.5206532209
Scales and comparisons
How big is 130132742400?- 130,132,742,400 seconds is equal to 4,137 years, 42 weeks, 4 days.
-
To count from 1 to 130,132,742,400 would take you about eight thousand, two hundred seventy-five 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 130132742400 cubic inches would be around 422.3 feet tall.
Recreational maths with 130132742400
- 130132742400 backwards is 004247231031
- 130132742400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 130132742400's digits is 27
- More coming soon!
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