Search a number
-
+
4330240040032 = 251949783143063
BaseRepresentation
bin111111000000110110011…
…010110101110001100000
3120022222002212120221001221
4333000312122311301200
51031421312422240112
613113141304104424
7624564246014464
oct77006632656140
916288085527057
104330240040032
11141a498682595
1259b290765114
1325545595554a
1410d8287324a4
157798d3aae07
hex3f0366b5c60

4330240040032 has 48 divisors (see below), whose sum is σ = 8974095701760. Its totient is φ = 2051110795392.

The previous prime is 4330240039981. The next prime is 4330240040033. The reversal of 4330240040032 is 2300400420334.

4330240040032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43302400400322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4330240039979 and 4330240040006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4330240040033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30196533 + ... + 30339595.

It is an arithmetic number, because the mean of its divisors is an integer number (186960327120).

Almost surely, 24330240040032 is an apocalyptic number.

It is an amenable number.

4330240040032 is an abundant number, since it is smaller than the sum of its proper divisors (4643855661728).

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

4330240040032 is a wasteful number, since it uses less digits than its factorization.

4330240040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192875 (or 192867 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 4330240040032 its reverse (2300400420334), we get a palindrome (6630640460366).

The spelling of 4330240040032 in words is "four trillion, three hundred thirty billion, two hundred forty million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 49783 99566 143063 199132 286126 398264 572252 796528 945877 1144504 1593056 1891754 2289008 2718197 3783508 4578016 5436394 7567016 10872788 15134032 21745576 30268064 43491152 86982304 7122105329 14244210658 28488421316 56976842632 113953685264 135320001251 227907370528 270640002502 541280005004 1082560010008 2165120020016 4330240040032