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144210640 = 2457257519
BaseRepresentation
bin10001001100001…
…11101011010000
3101001100122210211
420212013223100
5243404220030
622150533504
73400525120
oct1046075320
9331318724
10144210640
1174448652
1240367294
1323b52a52
141521cc80
15c9d912a
hex8987ad0

144210640 has 40 divisors (see below), whose sum is σ = 383189760. Its totient is φ = 49443456.

The previous prime is 144210613. The next prime is 144210673. The reversal of 144210640 is 46012441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128200 + ... + 129319.

It is an arithmetic number, because the mean of its divisors is an integer number (9579744).

Almost surely, 2144210640 is an apocalyptic number.

144210640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144210640 is an abundant number, since it is smaller than the sum of its proper divisors (238979120).

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

144210640 is a wasteful number, since it uses less digits than its factorization.

144210640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257539 (or 257533 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 144210640 is about 12008.7734594337. The cubic root of 144210640 is about 524.4037251467.

The spelling of 144210640 in words is "one hundred forty-four million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 257519 515038 1030076 1287595 1802633 2060152 2575190 3605266 4120304 5150380 7210532 9013165 10300760 14421064 18026330 20601520 28842128 36052660 72105320 144210640