145946116800

Names of 145946116800

• Cardinal: 145946116800 can be written as One hundred forty-five billion, nine hundred forty-six million, one hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.459461168 × 10¹¹

Factors of 145946116800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 316

Divisors of 145946116800

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 79 80 88 90 96 99 100 107 109 110 120 132 144 150 158 160 165 176 180 192 198 200 214 218 220 225 237 240 264 275 288 300 316 320 321 327 330 352 360 395 396 400 428 436 440 450 474 480 495 528 535 545 550 576 600 632 642 654 660 704 711 720 790 792 800 825 856 869 872 880 900 948 960 963 981 990 1056 1070 1090 1100 1177 1185 1199 1200 1264 1284 1308 1320 1422 1440 1580 1584 1600 1605 1635 1650 1712 1738 1744 1760 1800 1896 1926 1962 1975 1980 2112 2140 2180 2200 2354 2370 2398 2400 2475 2528 2568 2607 2616 2640 2675 2725 2844 2880 3160 3168 3210 3270 3300 3424 3476 3488 3520 3531 3555 3597 3600 3792 3852 3924 3950 3960 4280 4345 4360 4400 4708 4740 4796 4800 4815 4905 4950 5056 5136 5214 5232 5280 5350 5450 5688 5885 5925 5995 6320 6336 6420 6540 6600 6848 6952 6976 7062 7110 7194 7200 7584 7704 7821 7848 7900 7920 8025 8175 8453 8560 8611 8690 8720 8800 9416 9480 9592 9630 9810 9900 10272 10428 10464 10560 10593 10700 10791 10900 11376 11663 11770 11850 11990 12640 12840 13035 13080 13200 13904 14124 14220 14388 14400 15168 15408 15642 15696 15800 15840 16050 16350 16906 17120 17222 17380 17440 17600 17655 17775 17985 18832 18960 19184 19260 19620 19800 20544 20856 20928 21186 21400 21582 21725 21800 22752 23326 23540 23700 23980 24075 24525 25280 25359 25680 25833 26070 26160 26400 27808 28248 28440 28776 29425 29975 30816 31284 31392 31600 31680 32100 32700 33812 34240 34444 34760 34880 34989 35310 35550 35970 37664 37920 38368 38520 39105 39240 39600 41712 42265 42372 42800 43055 43164 43450 43600 45504 46652 47080 47400 47960 48150 49050 50718 51360 51666 52140 52320 52800 52965 53955 55616 56496 56880 57552 58315 58850 59950 61632 62568 62784 63200 64200 65175 65400 67624 68888 69520 69978 70620 71100 71940 75328 75840 76077 76736 77040 77499 78210 78480 79200 83424 84530 84744 85600 86110 86328 86900 87200 88275 89925 92983 93304 94160 94721 94800 95920 96300 98100 101436 102720 103332 104280 104640 104967 105930 107910 112992 113760 115104 116630 117700 119900 125136 126400 126795 128293 128400 129165 130350 130800 135248 137776 139040 139956 141240 142200 143880 152154 154080 154998 156420 156960 158400 166848 169060 169488 171200 172220 172656 173800 174400 174945 176550 179850 185966 186608 188320 189442 189600 191840 192600 195525 196200 202872 206664 208560 209934 211325 211860 215275 215820 225984 227520 230208 233260 235400 239800 250272 253590 256586 256800 258330 260700 261600 264825 269775 270496 275552 278080 278949 279912 282480 284163 284400 287760 291575 304308 308160 309996 312840 313920 338120 338976 344440 345312 347600 349890 353100 359700 371932 373216 376640 378884 379200 380385 383680 384879 385200 387495 391050 392400 405744 413328 417120 419868 422650 423720 430550 431640 464915 466520 470800 473605 479600 500544 507180 513172 513600 516660 521400 523200 524835 529650 539550 540992 551104 557898 559824 564960 568326 568800 575520 583150 608616 619992 625680 633975 641465 645825 676240 677952 688880 690624 695200 699780 706200 719400 743864 746432 757768 760770 769758 770400 774990 782100 784800 811488 826656 834240 836847 839736 845300 847440 852489 861100 863280 874725 921377 929830 933040 941600 947210 959200 1014360 1026344 1033320 1042800 1049670 1059300 1079100 1115796 1119648 1129920 1136652 1137600 1151040 1154637 1166300 1217232 1239984 1251360 1267950 1282930 1291650 1352480 1377760 1390400 1394745 1399560 1412400 1420815 1438800 1487728 1515536 1521540 1539516 1540800 1549980 1564200 1569600 1622976 1653312 1673694 1679472 1690600 1694880 1704978 1722200 1726560 1749450 1842754 1859660 1866080 1883200 1894420 1901925 1918400 1924395 1937475 2028720 2052688 2066640 2085600 2099340 2118600 2158200 2231592 2239296 2273304 2309274 2324575 2332600 2368025 2434464 2479968 2502720 2535900 2565860 2583300 2624175 2704960 2755520 2764131 2789490 2799120 2824800 2841630 2877600 2975456 3031072 3043080 3079032 3099960 3128400 3207325 3347388 3358944 3381200 3389760 3409956 3444400 3453120 3498900 3685508 3719320 3732160 3788840 3803850 3848790 3874950 4057440 4105376 4133280 4171200 4184235 4198680 4237200 4262445 4316400 4463184 4546608 4606885 4618548 4649150 4665200 4736050 4868928 4959936 5071800 5131720 5166600 5248350 5528262 5578980 5598240 5649600 5683260 5755200 5773185 5950912 6062144 6086160 6158064 6199920 6256800 6414650 6694776 6717888 6762400 6819912 6888800 6973725 6997800 7104075 7371016 7438640 7577680 7607700 7697580 7749900 8114880 8210752 8266560 8292393 8368470 8397360 8474400 8524890 8632800 8926368 9093216 9213770 9237096 9298300 9330400 9472100 9621975 10135147 10143600 10263440 10333200 10496700 11056524 11157960 11196480 11366520 11546370 12172320 12316128 12399840 12513600 12829300 13389552 13524800 13639824 13777600 13820655 13947450 13995600 14208150 14742032 14877280 15155360 15215400 15395160 15499800 16584786 16736940 16794720 16948800 17049780 17265600 17852736 18186432 18427540 18474192 18596600 18660800 18944200 19243950 20270294 20287200 20526880 20666400 20921175 20993400 21312225 22113048 22315920 22733040 23034425 23092740 24344640 24632256 24799680 25658600 26779104 27279648 27641310 27894900 27991200 28416300 28865925 29484064 29754560 30310720 30405441 30430800 30790320 30999600 33169572 33473880 33589440 34099560 36855080 36948384 37193200 37888400 38487900 40540588 40574400 41053760 41332800 41461965 41842350 41986800 42624450 44226096 44631840 45466080 46068850 46185480 50675735 51317200 53558208 54559296 55282620 55789800 55982400 56832600 57731850 58968128 60810882 60861600 61580640 61999200 66339144 66947760 68199120 69103275 73710160 73896768 74386400 75776800 76975800 81081176 82923930 83684700 83973600 85248900 88452192 89263680 90932160 91216323 92137700 92370960 101351470 102634400 110565240 111579600 113665200 115463700 121621764 121723200 123161280 123998400 132678288 133895520 136398240 138206550 147420320 148772800 151553600 152027205 153951600 162162352 165847860 167369400 167947200 170497800 176904384 182432646 184275400 184741920 202702940 205268800 207309825 221130480 223159200 227330400 230927400 243243528 253378675 265356576 267791040 272796480 276413100 294840640 304054410 307903200 324324704 331695720 334738800 340995600 364865292 368550800 369483840 405405880 414619650 442260960 446318400 454660800 456081615 461854800 486487056 506757350 530713152 552826200 608108820 615806400 648649408 663391440 669477600 681991200 729730584 737101600 760136025 810811760 829239300 884521920 912163230 923709600 972974112 1013514700 1105652400 1216217640 1326782880 1338955200 1363982400 1459461168 1474203200 1520272050 1621623520 1658478600 1824326460 1847419200 1945948224 2027029400 2211304800 2280408075 2432435280 2653565760 2918922336 3040544100 3243247040 3316957200 3648652920 4054058800 4422609600 4560816150 4864870560 5837844672 6081088200 6633914400 7297305840 8108117600 9121632300 9729741120 12162176400 13267828800 14594611680 16216235200 18243264600 24324352800 29189223360 36486529200 48648705600 72973058400 145946116800
• Sum of all divisors σ(n): 583709068800
• Sum of proper divisors (its aliquot sum) s(n): 437762952000
• 145946116800 is an abundant number, because the sum of its proper divisors (437762952000) is greater than itself. Its abundance is 291816835200

Bases of 145946116800

• Binary: 10000111111011000100010000001011000000₂
• Hexadecimal: 0x21FB1102C0
• Base-36: 1V1OJSG0

Squares and roots of 145946116800

• 145946116800 squared (145946116800²) is 21300269008999242240000
• 145946116800 cubed (145946116800³) is 3108691548658823659070533632000000
• The square root of 145946116800 is 382028.9475942891
• The cube root of 145946116800 is 5264.9895644579

Scales and comparisons

• 145,946,116,800 seconds is equal to 4,640 years, 33 weeks, 4 hours.
• To count from 1 to 145,946,116,800 would take you about nine thousand, two hundred eighty-one 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 145946116800 cubic inches would be around 438.7 feet tall.

Recreational maths with 145946116800

• 145946116800 backwards is 008611649541
• 145946116800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 145946116800's digits is 45
• More coming soon!