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144199936 = 28896329
BaseRepresentation
bin10001001100001…
…01000100000000
3101001100010010101
420212011010000
5243403344221
622150412144
73400451656
oct1046050400
9331303111
10144199936
1174440601
1240361054
1323b4ac0a
1415218dd6
15c9d5d91
hex8985100

144199936 has 36 divisors (see below), whose sum is σ = 291116700. Its totient is φ = 71278592.

The previous prime is 144199921. The next prime is 144199969. The reversal of 144199936 is 639991441.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 76038400 = 8256^2 + 8720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19620 + ... + 25948.

It is an arithmetic number, because the mean of its divisors is an integer number (8086575).

Almost surely, 2144199936 is an apocalyptic number.

144199936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145558350).

144199936 is an abundant number, since it is smaller than the sum of its proper divisors (146916764).

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

144199936 is an frugal number, since it uses more digits than its factorization.

144199936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6420 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The square root of 144199936 is about 12008.3277770054. The cubic root of 144199936 is about 524.3907502456.

The spelling of 144199936 in words is "one hundred forty-four million, one hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 6329 11392 12658 22784 25316 50632 101264 202528 405056 563281 810112 1126562 1620224 2253124 4506248 9012496 18024992 36049984 72099968 144199936