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145182414 = 2313171031063
BaseRepresentation
bin10001010011101…
…00111011001110
3101010012000211110
420221310323032
5244131314124
622223432450
73412013226
oct1051647316
9333160743
10145182414
1174a51773
1240755726
1324103170
14153d3086
15cb2c029
hex8a74ece

145182414 has 64 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 41596416.

The previous prime is 145182409. The next prime is 145182419. The reversal of 145182414 is 414281541.

It is an interprime number because it is at equal distance from previous prime (145182409) and next prime (145182419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145182419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136047 + ... + 137109.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2145182414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145182414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

145182414 is an abundant number, since it is smaller than the sum of its proper divisors (189441330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145182414 is a wasteful number, since it uses less digits than its factorization.

145182414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201.

The product of its digits is 5120, while the sum is 30.

The square root of 145182414 is about 12049.1665271918. The cubic root of 145182414 is about 525.5790002128.

The spelling of 145182414 in words is "one hundred forty-five million, one hundred eighty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 103 206 221 309 442 618 663 1063 1326 1339 1751 2126 2678 3189 3502 4017 5253 6378 8034 10506 13819 18071 22763 27638 36142 41457 45526 54213 68289 82914 108426 109489 136578 218978 234923 328467 469846 656934 704769 1409538 1423357 1861313 2846714 3722626 4270071 5583939 8540142 11167878 24197069 48394138 72591207 145182414