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144442320 = 24351154713
BaseRepresentation
bin10001001110000…
…00001111010000
3101001210102121120
420213000033100
5243434123240
622155522240
73402511431
oct1047001720
9331712546
10144442320
1174596720
1240459380
1323c04339
141527d488
15ca32ad0
hex89c03d0

144442320 has 80 divisors (see below), whose sum is σ = 488486592. Its totient is φ = 35015680.

The previous prime is 144442297. The next prime is 144442321. The reversal of 144442320 is 23244441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24717 + ... + 29996.

Almost surely, 2144442320 is an apocalyptic number.

144442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442320 is an abundant number, since it is smaller than the sum of its proper divisors (344044272).

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

144442320 is a wasteful number, since it uses less digits than its factorization.

144442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54740 (or 54734 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144442320 is about 12018.4158689904. The cubic root of 144442320 is about 524.6843998864.

Adding to 144442320 its reverse (23244441), we get a palindrome (167686761).

The spelling of 144442320 in words is "one hundred forty-four million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 54713 109426 164139 218852 273565 328278 437704 547130 601843 656556 820695 875408 1094260 1203686 1313112 1641390 1805529 2188520 2407372 2626224 3009215 3282780 3611058 4377040 4814744 6018430 6565560 7222116 9027645 9629488 12036860 13131120 14444232 18055290 24073720 28888464 36110580 48147440 72221160 144442320