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144417427 = 7115983383
BaseRepresentation
bin10001001101110…
…10001010010011
3101001202011110121
420212322022103
5243432324202
622155211111
73402346030
oct1046721223
9331664417
10144417427
1174579a50
1240446a97
1323bc5bcb
1415274387
15ca2a537
hex89ba293

144417427 has 32 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 109007520.

The previous prime is 144417409. The next prime is 144417463. The reversal of 144417427 is 724714441.

It is a cyclic number.

It is not a de Polignac number, because 144417427 - 215 = 144384659 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144417392 and 144417401.

It is not an unprimeable number, because it can be changed into a prime (144417467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376878 + ... + 377260.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2144417427 is an apocalyptic number.

144417427 is a deficient number, since it is larger than the sum of its proper divisors (41377133).

144417427 is a wasteful number, since it uses less digits than its factorization.

144417427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543.

The product of its digits is 25088, while the sum is 34.

The square root of 144417427 is about 12017.3802053526. The cubic root of 144417427 is about 524.6542570142.

The spelling of 144417427 in words is "one hundred forty-four million, four hundred seventeen thousand, four hundred twenty-seven".

Divisors: 1 7 11 59 77 83 383 413 581 649 913 2681 4213 4543 4897 6391 22597 29491 31789 34279 53867 158179 222523 248567 349679 377069 1739969 1875551 2447753 13128857 20631061 144417427