Search a number
-
+
40421023020 = 223257291106213
BaseRepresentation
bin100101101001010001…
…111101110100101100
310212100000021201111200
4211221101331310230
51130240240214040
630322534445500
72630446012110
oct455121756454
9125300251450
1040421023020
1116162682954
127a00b03890
133a72374b01
141d56485740
1510b894e630
hex96947dd2c

40421023020 has 144 divisors (see below), whose sum is σ = 144958282560. Its totient is φ = 8920493568.

The previous prime is 40421023007. The next prime is 40421023021. The reversal of 40421023020 is 2032012404.

40421023020 is a `hidden beast` number, since 404 + 2 + 10 + 230 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40421022984 and 40421023002.

It is not an unprimeable number, because it can be changed into a prime (40421023021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516567 + ... + 589646.

It is an arithmetic number, because the mean of its divisors is an integer number (1006654740).

Almost surely, 240421023020 is an apocalyptic number.

It is an amenable number.

40421023020 is an abundant number, since it is smaller than the sum of its proper divisors (104537259540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40421023020 is a wasteful number, since it uses less digits than its factorization.

40421023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106264 (or 1106259 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40421023020 its reverse (2032012404), we get a palindrome (42453035424).

The spelling of 40421023020 in words is "forty billion, four hundred twenty-one million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 36540 1106213 2212426 3318639 4424852 5531065 6637278 7743491 9955917 11062130 13274556 15486982 16593195 19911834 22124260 23230473 30973964 32080177 33186390 38717455 39823668 46460946 49779585 64160354 66372780 69691419 77434910 92921892 96240531 99559170 116152365 128320708 139382838 154869820 160400885 192481062 199118340 224561239 232304730 278765676 288721593 320801770 348457095 384962124 449122478 464609460 481202655 577443186 641603540 673683717 696914190 898244956 962405310 1122806195 1154886372 1347367434 1393828380 1443607965 1924810620 2021051151 2245612390 2694734868 2887215930 3368418585 4042102302 4491224780 5774431860 6736837170 8084204604 10105255755 13473674340 20210511510 40421023020