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144042216 = 23347277461
BaseRepresentation
bin10001001010111…
…10100011101000
3101001001002202220
420211132203220
5243333322331
622143154040
73366224103
oct1045364350
9331032686
10144042216
117434305a
12402a5920
1323ac41a6
14151b773a
15c9a4296
hex895e8e8

144042216 has 64 divisors (see below), whose sum is σ = 369895680. Its totient is φ = 46721280.

The previous prime is 144042209. The next prime is 144042233. The reversal of 144042216 is 612240441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 312226 + ... + 312686.

It is an arithmetic number, because the mean of its divisors is an integer number (5779620).

Almost surely, 2144042216 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 144042216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184947840).

144042216 is an abundant number, since it is smaller than the sum of its proper divisors (225853464).

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

144042216 is a wasteful number, since it uses less digits than its factorization.

144042216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144042216 is about 12001.7588710989. The cubic root of 144042216 is about 524.1994947718.

Adding to 144042216 its reverse (612240441), we get a palindrome (756282657).

The spelling of 144042216 in words is "one hundred forty-four million, forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 277 282 376 461 554 564 831 922 1108 1128 1383 1662 1844 2216 2766 3324 3688 5532 6648 11064 13019 21667 26038 39057 43334 52076 65001 78114 86668 104152 127697 130002 156228 173336 255394 260004 312456 383091 510788 520008 766182 1021576 1532364 3064728 6001759 12003518 18005277 24007036 36010554 48014072 72021108 144042216