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4334414331141 = 327125726393467
BaseRepresentation
bin111111000100101111001…
…110011111110100000101
3120100100212210020212222100
4333010233032133310011
51032003340032044031
613115111421422313
7625102553631426
oct77045716376405
916310783225870
104334414331141
11142123a98a254
125a005670a999
1325596c6cc49b
1410db02c9564d
1577b34aacde6
hex3f12f39fd05

4334414331141 has 24 divisors (see below), whose sum is σ = 6373705800384. Its totient is φ = 2837825464320.

The previous prime is 4334414331103. The next prime is 4334414331187. The reversal of 4334414331141 is 1411334144334.

4334414331141 is a `hidden beast` number, since 4 + 3 + 3 + 441 + 43 + 31 + 141 = 666.

It is not a de Polignac number, because 4334414331141 - 211 = 4334414329093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4334414331096 and 4334414331105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334414331041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13032511 + ... + 13360956.

It is an arithmetic number, because the mean of its divisors is an integer number (265571075016).

Almost surely, 24334414331141 is an apocalyptic number.

It is an amenable number.

4334414331141 is a deficient number, since it is larger than the sum of its proper divisors (2039291469243).

4334414331141 is a wasteful number, since it uses less digits than its factorization.

4334414331141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26393801 (or 26393798 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 4334414331141 its reverse (1411334144334), we get a palindrome (5745748475475).

The spelling of 4334414331141 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 71 213 257 639 771 2313 18247 54741 164223 26393467 79180401 237541203 1873936157 5621808471 6783121019 16865425413 20349363057 61048089171 481601592349 1444804777047 4334414331141