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144863640 = 2334544711
BaseRepresentation
bin10001010001001…
…11000110011000
3101002120211120000
420220213012120
5244041114030
622212533000
73406214655
oct1050470630
9332524500
10144863640
1174854219
1240621160
132402103c
141534cc2c
15cab7860
hex8a27198

144863640 has 80 divisors (see below), whose sum is σ = 486913680. Its totient is φ = 38629440.

The previous prime is 144863639. The next prime is 144863669. The reversal of 144863640 is 46368441.

144863640 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 6 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144863595 and 144863604.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 19116 + ... + 25595.

It is an arithmetic number, because the mean of its divisors is an integer number (6086421).

Almost surely, 2144863640 is an apocalyptic number.

144863640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144863640 is an abundant number, since it is smaller than the sum of its proper divisors (342050040).

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

144863640 is a wasteful number, since it uses less digits than its factorization.

144863640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44734 (or 44721 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 144863640 is about 12035.9312061843. The cubic root of 144863640 is about 525.1940507150.

The spelling of 144863640 in words is "one hundred forty-four million, eight hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 44711 89422 134133 178844 223555 268266 357688 402399 447110 536532 670665 804798 894220 1073064 1207197 1341330 1609596 1788440 2011995 2414394 2682660 3219192 3621591 4023990 4828788 5365320 6035985 7243182 8047980 9657576 12071970 14486364 16095960 18107955 24143940 28972728 36215910 48287880 72431820 144863640