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144050396 = 227453283
BaseRepresentation
bin10001001011000…
…00100011011100
3101001001111222212
420211200203130
5243334103041
622143255552
73366260000
oct1045404334
9331044885
10144050396
1174349216
12402aa5b8
1323ac7b29
14151ba700
15c9a68eb
hex89608dc

144050396 has 60 divisors (see below), whose sum is σ = 300692952. Its totient is φ = 60357024.

The previous prime is 144050393. The next prime is 144050399. The reversal of 144050396 is 693050441.

It is an interprime number because it is at equal distance from previous prime (144050393) and next prime (144050399).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144050393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 508871 + ... + 509153.

Almost surely, 2144050396 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 144050396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150346476).

144050396 is an abundant number, since it is smaller than the sum of its proper divisors (156642556).

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

144050396 is an equidigital number, since it uses as much as digits as its factorization.

144050396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 144050396 is about 12002.0996496446. The cubic root of 144050396 is about 524.2094174894.

The spelling of 144050396 in words is "one hundred forty-four million, fifty thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 283 343 371 566 686 742 1132 1372 1484 1981 2401 2597 3962 4802 5194 7924 9604 10388 13867 14999 18179 27734 29998 36358 55468 59996 72716 97069 104993 127253 194138 209986 254506 388276 419972 509012 679483 734951 1358966 1469902 2717932 2939804 5144657 10289314 20578628 36012599 72025198 144050396