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144244040 = 23523831889
BaseRepresentation
bin10001001100011…
…11110101001000
3101001102100121212
420212033311020
5243411302130
622151352252
73401024363
oct1046176510
9331370555
10144244040
1174470756
1240382688
1323b65005
141522b0da
15c9e3e95
hex898fd48

144244040 has 64 divisors (see below), whose sum is σ = 342921600. Its totient is φ = 54495232.

The previous prime is 144244039. The next prime is 144244049. The reversal of 144244040 is 40442441.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 144243997 and 144244015.

It is not an unprimeable number, because it can be changed into a prime (144244049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75416 + ... + 77304.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2144244040 is an apocalyptic number.

144244040 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 144244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

144244040 is an abundant number, since it is smaller than the sum of its proper divisors (198677560).

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

144244040 is a wasteful number, since it uses less digits than its factorization.

144244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 144244040 is about 12010.1640288549. The cubic root of 144244040 is about 524.4442069780. Note that the first 3 decimals are identical.

Adding to 144244040 its reverse (40442441), we get a palindrome (184686481).

The spelling of 144244040 in words is "one hundred forty-four million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 83 92 115 166 184 230 332 415 460 664 830 920 1660 1889 1909 3320 3778 3818 7556 7636 9445 9545 15112 15272 18890 19090 37780 38180 43447 75560 76360 86894 156787 173788 217235 313574 347576 434470 627148 783935 868940 1254296 1567870 1737880 3135740 3606101 6271480 7212202 14424404 18030505 28848808 36061010 72122020 144244040