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4431141201201 = 3111318115703479
BaseRepresentation
bin100000001111011010010…
…0110001110010100110001
3120200121112211221000001020
41000132310212032110301
51040044434121414301
613231345502130053
7635065544516151
oct100366446162461
916617484830036
104431141201201
111459266763390
125b6950280929
13261b16077040
1411467b332761
157a3e67a1436
hex407b498e531

4431141201201 has 32 divisors (see below), whose sum is σ = 6944922270720. Its totient is φ = 2477590843200.

The previous prime is 4431141201197. The next prime is 4431141201233. The reversal of 4431141201201 is 1021021411344.

It is a happy number.

It is not a de Polignac number, because 4431141201201 - 22 = 4431141201197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4431141201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074821 + ... + 3628658.

It is an arithmetic number, because the mean of its divisors is an integer number (217028820960).

Almost surely, 24431141201201 is an apocalyptic number.

It is an amenable number.

4431141201201 is a deficient number, since it is larger than the sum of its proper divisors (2513781069519).

4431141201201 is a wasteful number, since it uses less digits than its factorization.

4431141201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705317.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4431141201201 its reverse (1021021411344), we get a palindrome (5452162612545).

The spelling of 4431141201201 in words is "four trillion, four hundred thirty-one billion, one hundred forty-one million, two hundred one thousand, two hundred one".

Divisors: 1 3 11 13 33 39 143 429 1811 5433 19921 23543 59763 70629 258973 776919 5703479 17110437 62738269 74145227 188214807 222435681 815597497 2446792491 10329000469 30987001407 113619005159 134277006097 340857015477 402831018291 1477047067067 4431141201201