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144436810 = 25722811049
BaseRepresentation
bin10001001101111…
…10111001001010
3101001210011001111
420212332321022
5243433434220
622155440534
73402456400
oct1046767112
9331704044
10144436810
1174592571
124045614a
1323c0198b
141527b470
15ca3115a
hex89bee4a

144436810 has 48 divisors (see below), whose sum is σ = 303798600. Its totient is φ = 49297920.

The previous prime is 144436807. The next prime is 144436813. The reversal of 144436810 is 18634441.

It is an interprime number because it is at equal distance from previous prime (144436807) and next prime (144436813).

It can be written as a sum of positive squares in 4 ways, for example, as 141776649 + 2660161 = 11907^2 + 1631^2 .

It is a super-2 number, since 2×1444368102 = 41723984165952200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144436813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137166 + ... + 138214.

Almost surely, 2144436810 is an apocalyptic number.

144436810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144436810 is an abundant number, since it is smaller than the sum of its proper divisors (159361790).

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

144436810 is a wasteful number, since it uses less digits than its factorization.

144436810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 144436810 is about 12018.1866352624. The cubic root of 144436810 is about 524.6777281394.

The spelling of 144436810 in words is "one hundred forty-four million, four hundred thirty-six thousand, eight hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 281 490 562 1049 1405 1967 2098 2810 3934 5245 7343 9835 10490 13769 14686 19670 27538 36715 51401 68845 73430 102802 137690 257005 294769 514010 589538 1473845 2063383 2947690 4126766 10316915 14443681 20633830 28887362 72218405 144436810