Search a number
-
+
231021423011040 = 2535481294631273
BaseRepresentation
bin110100100001110011011101…
…110110101010010011100000
31010021222102200011220221221220
4310201303131312222103200
5220240023333242323130
62135201435424415040
766442514140242144
oct6441633566522340
91107872604827856
10231021423011040
11676796a96345a2
1221ab15bb177480
139bba2c4118b4c
1441096d46c1224
151ba95e6238410
hexd21cdddaa4e0

231021423011040 has 48 divisors (see below), whose sum is σ = 727717482486288. Its totient is φ = 61605712802816.

The previous prime is 231021423011033. The next prime is 231021423011087. The reversal of 231021423011040 is 40110324120132.

231021423011040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2310214230110403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231021423011040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240647315157 + ... + 240647316116.

It is an arithmetic number, because the mean of its divisors is an integer number (15160780885131).

Almost surely, 2231021423011040 is an apocalyptic number.

231021423011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231021423011040 is an abundant number, since it is smaller than the sum of its proper divisors (496696059475248).

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

231021423011040 is a wasteful number, since it uses less digits than its factorization.

231021423011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481294631291 (or 481294631283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 231021423011040 its reverse (40110324120132), we get a palindrome (271131747131172).

The spelling of 231021423011040 in words is "two hundred thirty-one trillion, twenty-one billion, four hundred twenty-three million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 481294631273 962589262546 1443883893819 1925178525092 2406473156365 2887767787638 3850357050184 4812946312730 5775535575276 7219419469095 7700714100368 9625892625460 11551071150552 14438838938190 15401428200736 19251785250920 23102142301104 28877677876380 38503570501840 46204284602208 57755355752760 77007141003680 115510711505520 231021423011040