131414401440
131,414,401,440 is an even composite number composed of seven prime numbers multiplied together.
131414401440 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 131414401440:
25 × 32 × 5 × 72 × 31 × 73 × 823
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 31 × 73 × 823)See below for interesting mathematical facts about the number 131414401440 from the Numbermatics database.
Names of 131414401440
- Cardinal: 131414401440 can be written as One hundred thirty-one billion, four hundred fourteen million, four hundred one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3141440144 × 1011
Factors of 131414401440
Divisors of 131414401440
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 49 56 60 62 63 70 72 73 80 84 90 93 96 98 105 112 120 124 126 140 144 146 147 155 160 168 180 186 196 210 217 219 224 240 245 248 252 279 280 288 292 294 310 315 336 360 365 372 392 420 434 438 441 465 480 490 496 504 511 558 560 584 588 620 630 651 657 672 720 730 735 744 784 823 840 868 876 882 930 980 992 1008 1022 1085 1095 1116 1120 1168 1176 1240 1260 1302 1314 1395 1440 1460 1470 1488 1519 1533 1568 1646 1680 1736 1752 1764 1860 1953 1960 2016 2044 2170 2190 2205 2232 2263 2336 2352 2469 2480 2520 2555 2604 2628 2790 2920 2940 2976 3038 3066 3255 3285 3292 3360 3472 3504 3528 3577 3720 3906 3920 4088 4115 4340 4380 4410 4464 4526 4557 4599 4704 4938 4960 5040 5110 5208 5256 5580 5761 5840 5880 6076 6132 6510 6570 6584 6789 6944 7008 7056 7154 7407 7440 7595 7665 7812 7840 8176 8230 8680 8760 8820 8928 9052 9114 9198 9765 9876 10080 10220 10416 10512 10731 11160 11315 11522 11680 11760 12152 12264 12345 13020 13140 13168 13578 13671 14112 14308 14814 14880 15190 15330 15624 15841 16352 16460 17283 17360 17520 17640 17885 18104 18228 18396 19530 19752 20367 20440 20832 21024 21462 22320 22630 22785 22995 23044 23520 24304 24528 24690 25513 26040 26280 26336 27156 27342 28616 28805 29628 30380 30660 31248 31682 32193 32920 33945 34566 34720 35040 35280 35770 36208 36456 36792 37035 39060 39504 40327 40734 40880 42924 44640 45260 45570 45990 46088 47523 48608 49056 49380 51026 51849 52080 52560 53655 54312 54684 57232 57610 59256 60079 60760 61320 62496 63364 64386 65840 67890 68355 69132 70560 71540 72416 72912 73584 74070 76539 78120 79008 79205 80654 81468 81760 85848 86415 90520 91140 91980 92176 95046 98760 101835 102052 103698 104160 105120 107310 108624 109368 110887 114464 115220 118512 120158 120981 121520 122640 126728 127565 128772 131680 135780 136710 138264 142569 143080 145824 147168 148140 153078 156240 158410 160965 161308 162936 171696 172830 178591 180237 181040 182280 183960 184352 190092 197520 201635 203670 204104 207396 214620 217248 218736 221774 229617 230440 237024 237615 240316 241962 243040 245280 253456 255130 257544 259245 271560 273420 276528 285138 286160 296280 300395 306156 312480 316820 321930 322616 325872 332661 343392 345660 357182 360474 362080 362943 364560 367920 380184 382695 395040 403270 407340 408208 414792 420553 429240 437472 443548 459234 460880 475230 480632 483924 506912 510260 515088 518490 535773 540711 543120 546840 553056 554435 570276 572320 592560 600790 604905 612312 633640 643860 645232 651744 665322 691320 712845 714364 720948 725886 729120 735840 760368 765390 806540 814680 816416 829584 841106 858480 887096 892955 901185 918468 921760 950460 961264 967848 997983 1020520 1030176 1036980 1071546 1081422 1086240 1093680 1108870 1140552 1148085 1185120 1201580 1209810 1224624 1250137 1261659 1267280 1287720 1290464 1330644 1382640 1425690 1428728 1441896 1451772 1520736 1530780 1607319 1613080 1629360 1659168 1663305 1682212 1716960 1774192 1785910 1802370 1814715 1836936 1862449 1900920 1922528 1935696 1995966 2041040 2073960 2102765 2143092 2162844 2187360 2217740 2281104 2296170 2403160 2419620 2449248 2500274 2523318 2534560 2575440 2661288 2678865 2703555 2765280 2851380 2857456 2883792 2903544 2943871 3061560 3214638 3226160 3258720 3326610 3364424 3548384 3571820 3604740 3629430 3673872 3724898 3750411 3784977 3801840 3871392 3991932 4082080 4147920 4205530 4286184 4325688 4435480 4562208 4592340 4806320 4839240 4989915 5000548 5046636 5150880 5322576 5357730 5407110 5587347 5702760 5714912 5767584 5807088 5887742 6123120 6250685 6308295 6429276 6452320 6653220 6728848 7143640 7209480 7258860 7347744 7449796 7500822 7569954 7603680 7983864 8036595 8295840 8411060 8572368 8651376 8831613 8870960 9184680 9312245 9612640 9678480 9979830 10001096 10093272 10645152 10715460 10814220 11174694 11251233 11405520 11614176 11775484 12246240 12501370 12616590 12858552 13037143 13306440 13457696 14287280 14418960 14517720 14719355 14899592 15001644 15139908 15967728 16073190 16762041 16822120 17144736 17302752 17663226 17741920 18369360 18624490 18752055 18924885 19356960 19959660 20002192 20186544 21430920 21628440 22349388 22502466 22811040 23550968 25002740 25233180 25717104 26074286 26494839 26612880 27936735 28574560 28837920 29035440 29438710 29799184 30003288 30279816 31935456 32146380 33524082 33644240 35326452 36738720 37248980 37504110 37849770 39111429 39919320 40004384 40373088 42861840 43256880 44158065 44698776 45004932 47101936 50005480 50466360 51434208 52148572 52989678 53225760 55873470 56256165 58070880 58877420 59598368 60006576 60559632 64292760 65185715 67048164 67288480 70652904 74497960 75008220 75699540 78222858 79838640 83810205 85723680 86513760 88316130 89397552 90009864 91260001 94203872 100010960 100932720 104297144 105979356 111746940 112512330 117334287 117754840 120013152 121119264 128585520 130371430 132474195 134096328 141305808 148995920 150016440 151399080 156445716 159677280 167620410 176632260 178795104 180019728 182520002 195557145 200021920 201865440 208594288 211958712 223493880 225024660 234668574 235509680 257171040 260742860 264948390 268192656 273780003 282611616 297991840 300032880 302798160 312891432 335240820 353264520 360039456 365040004 391114290 417188576 423917424 446987760 450049320 456300005 469337148 471019360 521485720 529896780 536385312 547560006 586671435 600065760 605596320 625782864 670481640 706529040 730080008 782228580 821340009 847834848 893975520 900098640 912600010 938674296 1042971440 1059793560 1095120012 1173342870 1251565728 1340963280 1368900015 1413058080 1460160016 1564457160 1642680018 1800197280 1825200020 1877348592 2085942880 2119587120 2190240024 2346685740 2681926560 2737800030 2920320032 3128914320 3285360036 3650400040 3754697184 4106700045 4239174240 4380480048 4693371480 5475600060 6257828640 6570720072 7300800080 8213400090 8760960096 9386742960 10951200120 13141440144 14601600160 16426800180 18773485920 21902400240 26282880288 32853600360 43804800480 65707200720 131414401440
- Sum of all divisors σ(n): 546536180736
- Sum of proper divisors (its aliquot sum) s(n): 415121779296
- 131414401440 is an abundant number, because the sum of its proper divisors (415121779296) is greater than itself. Its abundance is 283707377856
Bases of 131414401440
- Binary: 11110100110001110100010100001101000002
- Hexadecimal: 0x1E98E8A1A0
- Base-36: 1ODCQP40
Squares and roots of 131414401440
- 131414401440 squared (1314144014402) is 17269744905833474073600
- 131414401440 cubed (1314144014403) is 2269493189821595159697902505984000
-
The
square root of 131414401440 is 362511.2431911595 -
The
cube root of 131414401440 is 5084.1027657325
Scales and comparisons
How big is 131414401440?- 131,414,401,440 seconds is equal to 4,178 years, 29 weeks, 5 days, 24 minutes.
-
To count from 1 to 131,414,401,440 would take you about eight thousand, three hundred fifty-seven 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 131414401440 cubic inches would be around 423.7 feet tall.
Recreational maths with 131414401440
- 131414401440 backwards is 044104414131
- The number of decimal digits it has is: 12
- The sum of 131414401440's digits is 27
- More coming soon!
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