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145321416 = 233210918517
BaseRepresentation
bin10001010100101…
…10110111001000
3101010110002111200
420222112313020
5244200241131
622230424200
73413132412
oct1052266710
9333402450
10145321416
1175037149
1240802060
1324151506
141542b9b2
15cb582e6
hex8a96dc8

145321416 has 48 divisors (see below), whose sum is σ = 397211100. Its totient is φ = 47993472.

The previous prime is 145321403. The next prime is 145321427. The reversal of 145321416 is 614123541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145298916 + 22500 = 12054^2 + 150^2 .

It is a super-2 number, since 2×1453214162 = 42236627896490112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145321416.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1411 + ... + 17106.

Almost surely, 2145321416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145321416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198605550).

145321416 is an abundant number, since it is smaller than the sum of its proper divisors (251889684).

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

145321416 is a wasteful number, since it uses less digits than its factorization.

145321416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18638 (or 18631 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 145321416 is about 12054.9332640210. The cubic root of 145321416 is about 525.7466817454.

Adding to 145321416 its reverse (614123541), we get a palindrome (759444957).

The spelling of 145321416 in words is "one hundred forty-five million, three hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 18517 37034 55551 74068 111102 148136 166653 222204 333306 444408 666612 1333224 2018353 4036706 6055059 8073412 12110118 16146824 18165177 24220236 36330354 48440472 72660708 145321416