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4144434311331 = 321941214417881
BaseRepresentation
bin111100010011110011100…
…010001111000010100011
3112200012111202022221021100
4330103303202033002203
51020400300140430311
612451532110325443
7605265642253566
oct74236342170243
915605452287240
104144434311331
11135871013a516
1256b2767b9883
13240a84274b92
1410483d8584dd
1572c16141a56
hex3c4f388f0a3

4144434311331 has 36 divisors (see below), whose sum is σ = 6458922778360. Its totient is φ = 2553694905600.

The previous prime is 4144434311327. The next prime is 4144434311399. The reversal of 4144434311331 is 1331134344414.

4144434311331 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 4 + 3 + 4 + 311 + 331 = 666.

4144434311331 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 4144434311331 - 22 = 4144434311327 is a prime.

It is a super-2 number, since 2×41444343113312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144434311131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6921490 + ... + 7496391.

Almost surely, 24144434311331 is an apocalyptic number.

4144434311331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4144434311331 is a deficient number, since it is larger than the sum of its proper divisors (2314488467029).

4144434311331 is a wasteful number, since it uses less digits than its factorization.

4144434311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417988 (or 14417944 counting only the distinct ones).

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

Adding to 4144434311331 its reverse (1331134344414), we get a palindrome (5475568655745).

The spelling of 4144434311331 in words is "four trillion, one hundred forty-four billion, four hundred thirty-four million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 19 41 57 123 171 369 779 1681 2337 5043 7011 15129 31939 95817 287451 14417881 43253643 129760929 273939739 591133121 821819217 1773399363 2465457651 5320198089 11231529299 24236457961 33694587897 72709373883 101083763691 218128121649 460492701259 1381478103777 4144434311331