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144610040 = 23531139839
BaseRepresentation
bin10001001111010…
…01001011111000
3101002002221200102
420213221023320
5244010010130
622203254532
73404110421
oct1047511370
9332087612
10144610040
11746a0733
124051a448
1323c62793
14152c4648
15ca67645
hex89e92f8

144610040 has 64 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 55509120.

The previous prime is 144610033. The next prime is 144610051. The reversal of 144610040 is 40016441.

It is a happy number.

144610040 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 144609994 and 144610021.

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, 171941 + ... + 172779.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2144610040 is an apocalyptic number.

144610040 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 144610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

144610040 is an abundant number, since it is smaller than the sum of its proper divisors (194077960).

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

144610040 is a wasteful number, since it uses less digits than its factorization.

144610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 144610040 is about 12025.3914697194. The cubic root of 144610040 is about 524.8874014003.

Adding to 144610040 its reverse (40016441), we get a palindrome (184626481).

The spelling of 144610040 in words is "one hundred forty-four million, six hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 139 155 248 278 310 556 620 695 839 1112 1240 1390 1678 2780 3356 4195 4309 5560 6712 8390 8618 16780 17236 21545 26009 33560 34472 43090 52018 86180 104036 116621 130045 172360 208072 233242 260090 466484 520180 583105 932968 1040360 1166210 2332420 3615251 4664840 7230502 14461004 18076255 28922008 36152510 72305020 144610040