Search a number
-
+
4324145540105 = 561798910319577
BaseRepresentation
bin111110111011001011001…
…010001010110000001001
3120022101101010201020212102
4332323023022022300021
51031321322224240410
613110252433523145
7624260233432226
oct76731312126011
916271333636772
104324145540105
111417950477596
1259a06b7134b5
132549c4120581
1410d40b16494d
15777333082a5
hex3eecb28ac09

4324145540105 has 64 divisors (see below), whose sum is σ = 5453522380800. Its totient is φ = 3289369374720.

The previous prime is 4324145540101. The next prime is 4324145540123. The reversal of 4324145540105 is 5010455414234.

4324145540105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4324145540105 - 22 = 4324145540101 is a prime.

It is a super-2 number, since 2×43241455401052 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4324145540101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220869077 + ... + 220888653.

It is an arithmetic number, because the mean of its divisors is an integer number (85211287200).

Almost surely, 24324145540105 is an apocalyptic number.

It is an amenable number.

4324145540105 is a deficient number, since it is larger than the sum of its proper divisors (1129376840695).

4324145540105 is a wasteful number, since it uses less digits than its factorization.

4324145540105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19914.

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 4324145540105 in words is "four trillion, three hundred twenty-four billion, one hundred forty-five million, five hundred forty thousand, one hundred five".

Divisors: 1 5 61 79 89 103 305 395 445 515 4819 5429 6283 7031 8137 9167 19577 24095 27145 31415 35155 40685 45835 97885 428891 496357 559187 724193 1194197 1546583 1742353 2016431 2144455 2481785 2795935 3620965 5970985 7732915 8711765 10082155 44175773 94341563 106283533 123002291 137645887 159298049 179462359 220878865 471707815 531417665 615011455 688229435 796490245 897311795 8396399107 9717180989 10947203899 14177526361 41981995535 48585904945 54736019495 70887631805 864829108021 4324145540105