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144426240 = 283457199
BaseRepresentation
bin10001001101111…
…00010100000000
3101001202121120000
420212330110000
5243433114430
622155320000
73402413520
oct1046742400
9331677500
10144426240
1174585632
1240450000
1323bc9c1a
1415277680
15ca2ce60
hex89bc500

144426240 has 360 divisors, whose sum is σ = 593577600. Its totient is φ = 32845824.

The previous prime is 144426221. The next prime is 144426257. The reversal of 144426240 is 42624441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725661 + ... + 725859.

Almost surely, 2144426240 is an apocalyptic number.

144426240 is a gapful number since it is divisible by the number (10) 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 144426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296788800).

144426240 is an abundant number, since it is smaller than the sum of its proper divisors (449151360).

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

144426240 is an equidigital number, since it uses as much as digits as its factorization.

144426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 144426240 is about 12017.7468770148. The cubic root of 144426240 is about 524.6649290502.

The spelling of 144426240 in words is "one hundred forty-four million, four hundred twenty-six thousand, two hundred forty".