40712632128

Names of 40712632128

• Cardinal: 40712632128 can be written as Forty billion, seven hundred twelve million, six hundred thirty-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0712632128 × 10¹⁰

Factors of 40712632128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 31

Divisors of 40712632128

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 133 144 152 162 168 171 189 192 216 224 228 243 252 266 288 304 324 336 342 378 399 432 448 456 486 504 513 532 567 576 608 648 672 684 729 756 798 864 912 972 1008 1026 1064 1134 1197 1216 1296 1344 1368 1458 1512 1539 1596 1701 1728 1824 1944 2016 2052 2128 2187 2268 2394 2592 2736 2916 3024 3078 3192 3402 3591 3648 3888 4032 4104 4256 4374 4536 4617 4788 5103 5184 5472 5832 6048 6156 6384 6561 6804 7182 7776 8208 8512 8748 9072 9234 9576 10206 10773 10944 11664 12096 12312 12768 13122 13608 13851 14364 15309 15552 16416 17496 18144 18468 19152 19683 20412 21546 23328 24624 25536 26244 27216 27702 28728 30618 32319 32832 34992 36288 36936 38304 39366 40824 41553 43092 45927 46656 49248 52488 54432 55404 57456 59049 61236 64638 69984 73872 76608 78732 81648 83106 86184 91854 96957 98496 104976 108864 110808 114912 118098 122472 124659 129276 137781 139968 147744 157464 163296 166212 172368 177147 183708 193914 209952 221616 229824 236196 244944 249318 258552 275562 290871 295488 314928 326592 332424 344736 354294 367416 373977 387828 413343 419904 443232 472392 489888 498636 517104 531441 551124 581742 629856 664848 689472 708588 734832 747954 775656 826686 872613 886464 944784 979776 997272 1034208 1062882 1102248 1121931 1163484 1240029 1259712 1329696 1417176 1469664 1495908 1551312 1594323 1653372 1745226 1889568 1994544 2068416 2125764 2204496 2243862 2326968 2480058 2617839 2659392 2834352 2939328 2991816 3102624 3188646 3306744 3365793 3490452 3720087 3779136 3989088 4251528 4408992 4487724 4653936 4782969 4960116 5235678 5668704 5983632 6205248 6377292 6613488 6731586 6980904 7440174 7853517 7978176 8503056 8817984 8975448 9307872 9565938 9920232 10097379 10471356 11160261 11337408 11967264 12754584 13226976 13463172 13961808 14880348 15707034 17006112 17950896 18615744 19131876 19840464 20194758 20942712 22320522 23560551 23934528 25509168 26453952 26926344 27923616 29760696 30292137 31414068 33480783 34012224 35901792 38263752 39680928 40389516 41885424 44641044 47121102 51018336 53852688 55847232 59521392 60584274 62828136 66961566 70681653 71803584 76527504 79361856 80779032 83770848 89282088 90876411 94242204 102036672 107705376 119042784 121168548 125656272 133923132 141363306 153055008 161558064 167541696 178564176 181752822 188484408 212044959 215410752 238085568 242337096 251312544 267846264 282726612 306110016 323116128 357128352 363505644 376968816 424089918 484674192 502625088 535692528 565453224 636134877 646232256 714256704 727011288 753937632 848179836 969348384 1071385056 1130906448 1272269754 1454022576 1507875264 1696359672 1938696768 2142770112 2261812896 2544539508 2908045152 3392719344 4523625792 5089079016 5816090304 6785438688 10178158032 13570877376 20356316064 40712632128
• Sum of all divisors σ(n): 145784884960
• Sum of proper divisors (its aliquot sum) s(n): 105072252832
• 40712632128 is an abundant number, because the sum of its proper divisors (105072252832) is greater than itself. Its abundance is 64359620704

Bases of 40712632128

• Binary: 100101111010101010010111011101000000₂
• Hexadecimal: 0x97AA97740
• Base-36: IPB9000

Squares and roots of 40712632128

• 40712632128 squared (40712632128²) is 1657518414789857808384
• 40712632128 cubed (40712632128³) is 67481937466725195378166106161152
• The square root of 40712632128 is 201773.7151563603
• The cube root of 40712632128 is 3440.1421917067

Scales and comparisons

• 40,712,632,128 seconds is equal to 1,294 years, 27 weeks, 6 days, 28 minutes, 48 seconds.
• To count from 1 to 40,712,632,128 would take you about two thousand, five hundred eighty-nine 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 40712632128 cubic inches would be around 286.7 feet tall.

Recreational maths with 40712632128

• 40712632128 backwards is 82123621704
• 40712632128 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40712632128's digits is 36
• More coming soon!