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144340560 = 243257132203
BaseRepresentation
bin10001001101001…
…11011001010000
3101001121021000200
420212213121100
5243422344220
622153415200
73401605650
oct1046473120
9331537020
10144340560
1174527221
124040a500
1323b99c20
1415254360
15ca12890
hex89a7650

144340560 has 240 divisors, whose sum is σ = 596878464. Its totient is φ = 30440448.

The previous prime is 144340517. The next prime is 144340577. The reversal of 144340560 is 65043441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1443405602 = 41668394522227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64419 + ... + 66621.

Almost surely, 2144340560 is an apocalyptic number.

144340560 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 144340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298439232).

144340560 is an abundant number, since it is smaller than the sum of its proper divisors (452537904).

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

144340560 is a wasteful number, since it uses less digits than its factorization.

144340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144340560 is about 12014.1816200688. The cubic root of 144340560 is about 524.5611570868.

The spelling of 144340560 in words is "one hundred forty-four million, three hundred forty thousand, five hundred sixty".