Search a number
-
+
4335144222040 = 2356591033115919
BaseRepresentation
bin111111000101011010101…
…110110011110101011000
3120100102202122200012001121
4333011122232303311120
51032011333410101130
613115312053455024
7625126625615302
oct77053256636530
916312678605047
104335144222040
111421584995075
125a021b041474
13255a579a5ca8
1410db71bb0972
1577b78bd6d7a
hex3f15abb3d58

4335144222040 has 64 divisors (see below), whose sum is σ = 9770435136000. Its totient is φ = 1731149992320.

The previous prime is 4335144222001. The next prime is 4335144222083. The reversal of 4335144222040 is 402224415334.

It is a junction number, because it is equal to n+sod(n) for n = 4335144221987 and 4335144222005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272317201 + ... + 272333119.

It is an arithmetic number, because the mean of its divisors is an integer number (152663049000).

Almost surely, 24335144222040 is an apocalyptic number.

4335144222040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4335144222040 is an abundant number, since it is smaller than the sum of its proper divisors (5435290913960).

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

4335144222040 is a wasteful number, since it uses less digits than its factorization.

4335144222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26920 (or 26916 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 4335144222040 its reverse (402224415334), we get a palindrome (4737368637374).

The spelling of 4335144222040 in words is "four trillion, three hundred thirty-five billion, one hundred forty-four million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 659 1318 2636 3295 5272 6590 10331 13180 15919 20662 26360 31838 41324 51655 63676 79595 82648 103310 127352 159190 206620 318380 413240 636760 6808129 10490621 13616258 20981242 27232516 34040645 41962484 52453105 54465032 68081290 83924968 104906210 136162580 164459189 209812420 272325160 328918378 419624840 657836756 822295945 1315673512 1644591890 3289183780 6578367560 108378605551 216757211102 433514422204 541893027755 867028844408 1083786055510 2167572111020 4335144222040