40137521460400

Names of 40137521460400

• Cardinal: 40137521460400 can be written as Forty trillion, one hundred thirty-seven billion, five hundred twenty-one million, four hundred sixty thousand, four hundred.

Scientific notation

• Scientific notation: 4.01375214604 × 10¹³

Factors of 40137521460400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 668

Divisors of 40137521460400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 137 140 151 175 182 200 208 260 274 280 302 325 350 353 364 400 455 520 548 560 604 650 685 700 706 728 755 910 959 1040 1057 1096 1208 1300 1370 1400 1412 1456 1510 1765 1781 1820 1918 1963 2114 2192 2275 2416 2471 2600 2740 2800 2824 3020 3425 3530 3562 3640 3775 3836 3926 4228 4550 4589 4795 4942 5200 5285 5480 5648 6040 6850 7060 7124 7280 7550 7672 7852 8456 8825 8905 9100 9178 9590 9815 9884 10570 10960 12080 12355 12467 13700 13741 14120 14248 15100 15344 15704 16912 17650 17810 18200 18356 19180 19630 19768 20687 21140 22801 22945 23975 24710 24934 26425 27400 27482 28240 28496 30200 31408 32123 35300 35620 36400 36712 38360 39260 39536 41374 42280 44525 45602 45890 47950 48361 49075 49420 49868 52850 53303 54800 54964 60400 61775 62335 64246 68705 70600 71240 73424 76720 78520 82748 84560 89050 91204 91780 95900 96722 98150 98840 99736 103435 105700 106606 109928 114005 114725 123550 124670 128492 137410 141200 142480 144809 157040 159607 160615 165496 178100 182408 183560 191800 193444 196300 197680 199472 206870 211400 213212 219856 228010 229450 241805 247100 249340 256984 266515 268931 274820 289618 296413 311675 319214 321230 330992 338527 343525 356200 364816 367120 373121 383600 386888 392600 413740 422800 426424 456020 458900 483610 494200 498680 513968 517175 533030 537862 549640 570025 579236 592826 623350 628693 638428 642460 677054 687050 692939 712400 724045 746242 773776 785200 798035 803075 827480 852848 912040 917800 967220 988400 997360 1034350 1066060 1075724 1099280 1140050 1158472 1185652 1209025 1246700 1257386 1276856 1284920 1332575 1344655 1354108 1374100 1385878 1448090 1482065 1492484 1596070 1606150 1654960 1692635 1824080 1835600 1865605 1882517 1934440 2068700 2074891 2132120 2151448 2280100 2316944 2371304 2418050 2493400 2514772 2553712 2569840 2665150 2689310 2708216 2748200 2771756 2896180 2964130 2984968 3123737 3143465 3192140 3212300 3385270 3464695 3620225 3731210 3765034 3868880 3990175 4137400 4149782 4264240 4302896 4400851 4560200 4742608 4836100 4850573 4986800 5029544 5330300 5378620 5416432 5496400 5543512 5792360 5928260 5969936 6247474 6286930 6384280 6424600 6723275 6770540 6929390 7240450 7302511 7410325 7462420 7530068 7980350 8048753 8274800 8299564 8463175 8801702 9120400 9328025 9412585 9672200 9701146 10059088 10374455 10660600 10757240 11087024 11584720 11856520 12494948 12573860 12768560 12849200 13446550 13541080 13858780 14480900 14605022 14820650 14924840 15060136 15618685 15717325 15960700 16097506 16599128 16926350 17323475 17603404 18656050 18825170 19344400 19402292 20748910 21321200 21514480 21866159 22004255 23713040 24252865 24989896 25147720 26893100 27082160 27717560 28961800 29210044 29641300 29849680 30120272 31237370 31434650 31921400 32195012 33198256 33852700 34646950 35206808 36512555 37312100 37650340 38804584 40243765 40608581 41497820 43732318 44008510 47062925 48505730 49979792 50295440 51117577 51872275 53786200 55435120 56341271 57923600 58420088 59282600 62474740 62869300 63842800 64390024 67705400 69293900 70413616 73025110 74624200 75300680 77609168 78093425 80487530 81217162 82995640 87464636 88017020 94125850 94932643 97011460 102235154 103744550 104633789 107572400 109330795 110021275 112682542 116840176 118565200 121264325 124949480 125738600 128780048 135410800 138587800 146050220 149248400 150601360 156186850 160975060 162434324 165991280 174929272 176034040 182562775 188251700 189865286 194022920 201218825 203042905 204470308 207489100 209267578 218661590 220042550 225365084 242528650 249898960 251477200 255587885 277175600 281706355 284260067 292100440 312373700 321950120 324868648 349858544 352068080 365125550 376503400 379730572 388045840 402437650 406085810 408940616 414978200 418535156 437323180 440085100 450730168 474663215 485057300 511175770 523168945 546653975 563412710 568520134 584200880 624747400 643900240 649737296 664528501 730251100 732436523 753006800 759461144 804875300 812171620 817881232 829956400 837070312 874646360 880170200 901460336 949326430 970114600 1015214525 1022351540 1046337890 1093307950 1102679161 1126825420 1137040268 1249494800 1277939425 1329057002 1408531775 1421300335 1460502200 1464873046 1518922288 1609750600 1624343240 1674140624 1749292720 1760340400 1898652860 1940229200 2030429050 2044703080 2092675780 2186615900 2205358322 2253650840 2274080536 2373316075 2555878850 2615844725 2658114004 2817063550 2842600670 2921004400 2929746092 3219501200 3248686480 3322642505 3662182615 3797305720 4060858100 4089406160 4185351560 4373231800 4410716644 4507301680 4548161072 4746632150 5111757700 5231689450 5316228008 5513395805 5634127100 5685201340 5859492184 6645285010 7106501675 7324365230 7594611440 7718754127 8121716200 8370703120 8746463600 8821433288 9493264300 10223515400 10463378900 10632456016 11026791610 11268254200 11370402680 11718984368 13290570020 14213003350 14334829093 14648730460 15437508254 16243432400 16613212525 17642866576 18310913075 18986528600 20447030800 20926757800 22053583220 22536508400 22740805360 26581140040 27566979025 28426006700 28669658186 29297460920 30875016508 33226425050 36621826150 37973057200 38593770635 41853515600 44107166440 53162280080 55133958050 56852013400 57339316372 58594921840 61750033016 66452850100 71674145465 73243652300 77187541270 88214332880 100343803651 110267916100 113704026800 114678632744 123500066032 132905700200 143348290930 146487304600 154375082540 192968853175 200687607302 220535832200 229357265488 265811400400 286696581860 292974609200 308750165080 358370727325 385937706350 401375214604 441071664400 501719018255 573393163720 617500330160 716741454650 771875412700 802750429208 1003438036510 1146786327440 1433482909300 1543750825400 1605500858416 2006876073020 2508595091275 2866965818600 3087501650800 4013752146040 5017190182550 5733931637200 8027504292080 10034380365100 20068760730200 40137521460400
• Sum of all divisors σ(n): 120687756864192
• Sum of proper divisors (its aliquot sum) s(n): 80550235403792
• 40137521460400 is an abundant number, because the sum of its proper divisors (80550235403792) is greater than itself. Its abundance is 40412713943392

Bases of 40137521460400

• Binary: 1001001000000100111110101101010111010010110000₂
• Hexadecimal: 0x24813EB574B0
• Base-36: E86X7YGTS

Squares and roots of 40137521460400

• 40137521460400 squared (40137521460400²) is 1611020628984070548768160000
• 40137521460400 cubed (40137521460400³) is 64662375068995237900929626784220864000000
• The square root of 40137521460400 is 6335418.0178106637
• The cube root of 40137521460400 is 34238.6671683045

Scales and comparisons

• 40,137,521,460,400 seconds is equal to 1,276,249 years, 1 week, 3 days, 12 hours, 46 minutes, 40 seconds.
• To count from 1 to 40,137,521,460,400 would take you about three million, one hundred ninety thousand, six hundred twenty-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 40137521460400 cubic inches would be around 2853.2 feet tall.

Recreational maths with 40137521460400

• 40137521460400 backwards is 00406412573104
• The number of decimal digits it has is: 14
• The sum of 40137521460400's digits is 37
• More coming soon!