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144003640 = 235112931117
BaseRepresentation
bin10001001010101…
…01001000111000
3101000222010212011
420211111020320
5243331104030
622142255304
73366003454
oct1045251070
9330863764
10144003640
1174317080
1240287534
1323aac771
14151a7664
15c997b2a
hex8955238

144003640 has 64 divisors (see below), whose sum is σ = 354987360. Its totient is φ = 52139520.

The previous prime is 144003637. The next prime is 144003683. The reversal of 144003640 is 46300441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 128362 + ... + 129478.

Almost surely, 2144003640 is an apocalyptic number.

144003640 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 144003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177493680).

144003640 is an abundant number, since it is smaller than the sum of its proper divisors (210983720).

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

144003640 is a wasteful number, since it uses less digits than its factorization.

144003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144003640 is about 12000.1516657082. The cubic root of 144003640 is about 524.1526952391.

The spelling of 144003640 in words is "one hundred forty-four million, three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 293 440 586 1117 1172 1465 2234 2344 2930 3223 4468 5585 5860 6446 8936 11170 11720 12287 12892 16115 22340 24574 25784 32230 44680 49148 61435 64460 98296 122870 128920 245740 327281 491480 654562 1309124 1636405 2618248 3272810 3600091 6545620 7200182 13091240 14400364 18000455 28800728 36000910 72001820 144003640