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354444338227 = 72127293349557
BaseRepresentation
bin1010010100001101000…
…01110110010000110011
31020212212211112222021111
411022012201312100303
521301400222310402
6430455100134151
734415314110400
oct5120641662063
91225784488244
10354444338227
11127356652451
125883a837357
1327568586965
1413225c0d2a7
1593472e99d7
hex5286876433

354444338227 has 48 divisors (see below), whose sum is σ = 418923187200. Its totient is φ = 298990040832.

The previous prime is 354444338221. The next prime is 354444338243. The reversal of 354444338227 is 722833444453.

It is not a de Polignac number, because 354444338227 - 227 = 354310120499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (354444338221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636345033 + ... + 636345589.

It is an arithmetic number, because the mean of its divisors is an integer number (8727566400).

Almost surely, 2354444338227 is an apocalyptic number.

354444338227 is a deficient number, since it is larger than the sum of its proper divisors (64478848973).

354444338227 is a wasteful number, since it uses less digits than its factorization.

354444338227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1333 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 49.

The spelling of 354444338227 in words is "three hundred fifty-four billion, four hundred forty-four million, three hundred thirty-eight thousand, two hundred twenty-seven".

Divisors: 1 7 49 127 293 349 557 889 2051 2443 3899 6223 14357 17101 27293 37211 44323 70739 102257 163201 194393 260477 310261 495173 715799 1142407 1360751 1823339 2171827 3466211 5010593 7996849 9525257 12986639 20726527 24687911 56957149 90906473 145085689 172815377 398700043 636345311 1015599823 1209707639 2790900301 7233557923 50634905461 354444338227