Search a number
-
+
433144240101 = 33411877208459
BaseRepresentation
bin1100100110110010110…
…10001001011111100101
31112102000120022012221000
412103121122021133211
524044034411140401
6530552252143513
743202501202426
oct6233132113745
91472016265830
10433144240101
111577716a4571
126bb43167b99
1331acb24ac31
1416d7003d64d
15b4015a9186
hex64d96897e5

433144240101 has 32 divisors (see below), whose sum is σ = 657699638400. Its totient is φ = 281568389760.

The previous prime is 433144240027. The next prime is 433144240103. The reversal of 433144240101 is 101042441334.

433144240101 is a `hidden beast` number, since 4 + 3 + 314 + 4 + 240 + 101 = 666.

It is not a de Polignac number, because 433144240101 - 218 = 433143977957 is a prime.

It is a super-2 number, since 2×4331442401012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433144240103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973610 + ... + 2182068.

It is an arithmetic number, because the mean of its divisors is an integer number (20553113700).

Almost surely, 2433144240101 is an apocalyptic number.

433144240101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

433144240101 is a deficient number, since it is larger than the sum of its proper divisors (224555398299).

433144240101 is a wasteful number, since it uses less digits than its factorization.

433144240101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210386 (or 210380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 433144240101 its reverse (101042441334), we get a palindrome (534186681435).

The spelling of 433144240101 in words is "four hundred thirty-three billion, one hundred forty-four million, two hundred forty thousand, one hundred one".

Divisors: 1 3 9 27 41 123 369 1107 1877 5631 16893 50679 76957 208459 230871 625377 692613 1876131 2077839 5628393 8546819 25640457 76921371 230764113 391277543 1173832629 3521497887 10564493661 16042379263 48127137789 144381413367 433144240101