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144395190 = 23351274211
BaseRepresentation
bin10001001101101…
…00101110110110
3101001201000222000
420212310232312
5243431121230
622154520130
73402224142
oct1046645666
9331630860
10144395190
1174564275
1240436046
1323bb8a54
141526a222
15ca23b60
hex89b4bb6

144395190 has 64 divisors (see below), whose sum is σ = 388177920. Its totient is φ = 38193120.

The previous prime is 144395159. The next prime is 144395197. The reversal of 144395190 is 91593441.

It is a happy number.

It is a super-2 number, since 2×1443951902 = 41699941790272200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144395197) 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, 32185 + ... + 36395.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2144395190 is an apocalyptic number.

144395190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144395190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194088960).

144395190 is an abundant number, since it is smaller than the sum of its proper divisors (243782730).

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

144395190 is a wasteful number, since it uses less digits than its factorization.

144395190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 144395190 is about 12016.4549680844. The cubic root of 144395190 is about 524.6273273567.

The spelling of 144395190 in words is "one hundred forty-four million, three hundred ninety-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 762 1143 1270 1905 2286 3429 3810 4211 5715 6858 8422 11430 12633 17145 21055 25266 34290 37899 42110 63165 75798 113697 126330 189495 227394 378990 534797 568485 1069594 1136970 1604391 2673985 3208782 4813173 5347970 8021955 9626346 14439519 16043910 24065865 28879038 48131730 72197595 144395190