40961066400

Names of 40961066400

• Cardinal: 40961066400 can be written as Forty billion, nine hundred sixty-one million, sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.09610664 × 10¹⁰

Factors of 40961066400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 246

Divisors of 40961066400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 41 45 48 50 57 60 67 72 75 76 80 82 90 95 96 100 109 114 120 123 134 144 150 152 160 164 171 180 190 200 201 205 218 225 228 240 246 268 285 288 300 304 327 328 335 342 360 369 380 400 402 410 436 450 456 475 480 492 536 545 570 600 603 608 615 654 656 670 684 720 738 760 779 800 804 820 855 872 900 912 950 981 984 1005 1025 1072 1090 1140 1200 1206 1230 1273 1308 1312 1340 1368 1425 1440 1476 1520 1558 1608 1635 1640 1675 1710 1744 1800 1824 1845 1900 1962 1968 2010 2050 2071 2144 2180 2280 2337 2400 2412 2460 2546 2616 2680 2725 2736 2747 2850 2952 3015 3040 3075 3116 3216 3270 3280 3350 3420 3488 3600 3690 3800 3819 3895 3924 3936 4020 4100 4142 4275 4360 4469 4560 4674 4824 4905 4920 5025 5092 5232 5360 5450 5472 5494 5700 5904 6030 6150 6213 6232 6365 6432 6540 6560 6700 6840 7011 7200 7303 7380 7600 7638 7790 7848 8040 8175 8200 8241 8284 8550 8720 8938 9120 9225 9348 9648 9810 9840 10050 10184 10355 10464 10720 10900 10988 11400 11457 11685 11808 12060 12300 12426 12464 12730 13080 13400 13407 13680 13735 14022 14606 14760 15075 15200 15276 15580 15696 16080 16350 16400 16482 16568 17100 17440 17876 18450 18639 18696 19095 19296 19475 19620 19680 20100 20368 20710 21800 21909 21976 22345 22800 22914 23370 24120 24525 24600 24723 24852 24928 25460 26160 26800 26814 27360 27470 28044 29212 29520 30150 30552 31065 31160 31392 31825 32160 32700 32800 32964 33136 34200 35055 35752 36515 36900 37278 37392 38190 38950 39240 40200 40221 40736 41205 41420 43600 43818 43952 44690 45600 45828 46740 48240 49050 49200 49446 49704 50920 51775 52193 52320 53600 53628 54940 56088 57285 58424 58425 59040 60300 61104 62130 62320 63650 65400 65727 65928 66272 67035 68400 68675 70110 71504 73030 73800 74556 74784 76380 77900 78480 80400 80442 82410 82840 84911 87200 87636 87904 89380 91656 93195 93480 95475 96480 98100 98400 98892 99408 101840 103550 104386 107256 109545 109880 111725 112176 114570 116848 116850 120600 122208 123615 124260 124640 127300 130800 131454 131856 134070 136800 137350 138757 140220 143008 146060 147600 149112 152760 155325 155800 156579 156960 160800 160884 164820 165680 169822 175272 175275 178760 182575 183312 186390 186960 190950 196200 197784 198816 201105 203680 206025 207100 208772 214512 219090 219760 223450 224352 229140 233696 233700 241200 247230 248520 254600 254733 260965 261600 262908 263712 268140 274700 277514 280440 286425 292120 295200 298224 299423 305520 310650 311600 313158 321768 328635 329640 331360 335175 339644 350544 350550 357520 365150 366624 372780 373920 381900 392400 395568 402210 412050 414200 416271 417544 424555 429024 438180 439520 446900 458280 465975 467400 469737 482400 494460 497040 509200 509466 521930 525816 536280 547725 549400 555028 560880 572850 584240 596448 598846 611040 618075 621300 623200 626316 643536 657270 659280 670350 679288 693785 701088 701100 715040 730300 745560 763800 764199 782895 784800 791136 804420 824100 828400 832542 835088 849110 876360 893800 898269 916560 931950 934800 939474 988920 994080 1005525 1018400 1018932 1043860 1051632 1072560 1095450 1098800 1110056 1121760 1145700 1168480 1197692 1236150 1242600 1248813 1252632 1273665 1287072 1304825 1314540 1318560 1340700 1358576 1387570 1402200 1460600 1491120 1497115 1527600 1528398 1565790 1608840 1643175 1648200 1656800 1665084 1670176 1698220 1752720 1787600 1796538 1833120 1863900 1869600 1878948 1977840 2011050 2037864 2081355 2087720 2103264 2122775 2145120 2190900 2197600 2220112 2291400 2348685 2395384 2472300 2485200 2497626 2505264 2547330 2609650 2629080 2681400 2694807 2717152 2775140 2804400 2921200 2982240 2994230 3055200 3056796 3131580 3217680 3286350 3296400 3330168 3396440 3468925 3505440 3575200 3593076 3727800 3757896 3820995 3914475 3955680 4022100 4075728 4162710 4175440 4245550 4381800 4440224 4491345 4582800 4697370 4790768 4944600 4970400 4995252 5010528 5094660 5219300 5258160 5362800 5389614 5550280 5608800 5689037 5842400 5988460 6113592 6244065 6263160 6368325 6435360 6572700 6592800 6660336 6792880 6937850 7186152 7455600 7485575 7515792 7641990 7828950 8044200 8151456 8325420 8350880 8491100 8763600 8982690 9165600 9394740 9581536 9889200 9990504 10189320 10406775 10438600 10516320 10725600 10779228 11100560 11378074 11743425 11976920 12227184 12488130 12526320 12736650 13145400 13320672 13474035 13585760 13875700 14372304 14911200 14971150 15031584 15283980 15657900 16088400 16650840 16982200 17067111 17527200 17965380 18789480 19104975 19778400 19981008 20378640 20813550 20877200 21558456 22201120 22456725 22756148 23486850 23953840 24454368 24976260 25052640 25473300 26290800 26948070 27751400 28445185 28744608 29942300 30567960 31220325 31315800 32176800 33301680 33964400 34134222 35930760 37578960 38209950 39962016 40757280 41627100 41754400 43116912 44913450 45512296 46973700 47907680 49952520 50946600 51201333 52581600 53896140 55502800 56890370 59884600 61135920 62440650 62631600 66603360 67370175 67928800 68268444 71861520 75157920 76419900 83254200 85335555 86233824 89826900 91024592 93947400 99905040 101893200 102402666 107792280 111005600 113780740 119769200 122271840 124881300 125263200 134740350 136536888 142225925 143723040 152839800 166508400 170671110 179653800 182049184 187894800 199810080 203786400 204805332 215584560 227561480 239538400 249762600 256006665 269480700 273073776 284451850 305679600 333016800 341342220 359307600 375789600 409610664 426677775 431169120 455122960 499525200 512013330 538961400 546147552 568903700 611359200 682684440 718615200 819221328 853355550 910245920 999050400 1024026660 1077922800 1137807400 1280033325 1365368880 1638442656 1706711100 2048053320 2155845600 2275614800 2560066650 2730737760 3413422200 4096106640 4551229600 5120133300 6826844400 8192213280 10240266600 13653688800 20480533200 40961066400
• Sum of all divisors σ(n): 159524164800
• Sum of proper divisors (its aliquot sum) s(n): 118563098400
• 40961066400 is an abundant number, because the sum of its proper divisors (118563098400) is greater than itself. Its abundance is 77602032000

Bases of 40961066400

• Binary: 100110001001011110000100010110100000₂
• Hexadecimal: 0x9897845A0
• Base-36: ITF5T40

Squares and roots of 40961066400

• 40961066400 squared (40961066400²) is 1677808960625208960000
• 40961066400 cubed (40961066400³) is 68724844242684169724434944000000
• The square root of 40961066400 is 202388.4048062041
• The cube root of 40961066400 is 3447.1254190147

Scales and comparisons

• 40,961,066,400 seconds is equal to 1,302 years, 22 weeks, 4 days, 10 hours.
• To count from 1 to 40,961,066,400 would take you about two thousand, six 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 40961066400 cubic inches would be around 287.3 feet tall.

Recreational maths with 40961066400

• 40961066400 backwards is 00466016904
• 40961066400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40961066400's digits is 36
• More coming soon!