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144248720 = 24571123417
BaseRepresentation
bin10001001100100…
…00111110010000
3101001102121001012
420212100332100
5243411424340
622151430052
73401044130
oct1046207620
9331377035
10144248720
1174474220
1240385328
1323b67195
141522cac0
15c9e5565
hex8990f90

144248720 has 80 divisors (see below), whose sum is σ = 418151808. Its totient is φ = 44958720.

The previous prime is 144248683. The next prime is 144248729. The reversal of 144248720 is 27842441.

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

It is not an unprimeable number, because it can be changed into a prime (144248729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5549 + ... + 17868.

Almost surely, 2144248720 is an apocalyptic number.

144248720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144248720 is an abundant number, since it is smaller than the sum of its proper divisors (273903088).

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

144248720 is a wasteful number, since it uses less digits than its factorization.

144248720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23448 (or 23442 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 144248720 is about 12010.3588622489. The cubic root of 144248720 is about 524.4498787833.

The spelling of 144248720 in words is "one hundred forty-four million, two hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 23417 46834 93668 117085 163919 187336 234170 257587 327838 374672 468340 515174 655676 819595 936680 1030348 1287935 1311352 1639190 1803109 1873360 2060696 2575870 2622704 3278380 3606218 4121392 5151740 6556760 7212436 9015545 10303480 13113520 14424872 18031090 20606960 28849744 36062180 72124360 144248720