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144641287 = 7217891951
BaseRepresentation
bin10001001111100…
…00110100000111
3101002011112112201
420213300310013
5244012010122
622204055331
73404300500
oct1047606407
9332145481
10144641287
117471215a
1240534547
1323c73a7b
14152d1ba7
15ca71a27
hex89f0d07

144641287 has 24 divisors (see below), whose sum is σ = 180247680. Its totient is φ = 115315200.

The previous prime is 144641221. The next prime is 144641291. The reversal of 144641287 is 782146441.

It is a happy number.

It is not a de Polignac number, because 144641287 - 227 = 10423559 is a prime.

It is a super-2 number, since 2×1446412872 = 41842203810032738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144641297) 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 23 ways as a sum of consecutive naturals, for example, 73162 + ... + 75112.

It is an arithmetic number, because the mean of its divisors is an integer number (7510320).

Almost surely, 2144641287 is an apocalyptic number.

144641287 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

144641287 is a deficient number, since it is larger than the sum of its proper divisors (35606393).

144641287 is a wasteful number, since it uses less digits than its factorization.

144641287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2064 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 144641287 is about 12026.6906088084. The cubic root of 144641287 is about 524.9252041593.

It can be divided in two parts, 14464 and 1287, that added together give a palindrome (15751).

The spelling of 144641287 in words is "one hundred forty-four million, six hundred forty-one thousand, two hundred eighty-seven".

Divisors: 1 7 17 49 89 119 623 833 1513 1951 4361 10591 13657 33167 74137 95599 173639 232169 1215473 1625183 2951863 8508311 20663041 144641287