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144700440 = 23351976121
BaseRepresentation
bin10001001111111…
…11010000011000
3101002021112200120
420213333100120
5244020403230
622205233240
73404635113
oct1047772030
9332245616
10144700440
1174752645
1240562820
1323c94981
141530957a
15ca84310
hex89ff418

144700440 has 64 divisors (see below), whose sum is σ = 436376160. Its totient is φ = 38384640.

The previous prime is 144700411. The next prime is 144700531. The reversal of 144700440 is 44007441.

144700440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 144700440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20580 + ... + 26700.

Almost surely, 2144700440 is an apocalyptic number.

144700440 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 144700440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218188080).

144700440 is an abundant number, since it is smaller than the sum of its proper divisors (291675720).

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

144700440 is a wasteful number, since it uses less digits than its factorization.

144700440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 144700440 is about 12029.1495958775. The cubic root of 144700440 is about 524.9967528144.

Adding to 144700440 its reverse (44007441), we get a palindrome (188707881).

The spelling of 144700440 in words is "one hundred forty-four million, seven hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 5910 6121 7880 11820 12242 18363 23640 24484 30605 36726 48968 61210 73452 91815 122420 146904 183630 244840 367260 734520 1205837 2411674 3617511 4823348 6029185 7235022 9646696 12058370 14470044 18087555 24116740 28940088 36175110 48233480 72350220 144700440