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144423104 = 26719347
BaseRepresentation
bin10001001101110…
…11100011000000
3101001202110020212
420212323203000
5243433014404
622155253252
73402401420
oct1046734300
9331673225
10144423104
1174583241
124044a228
1323bc8677
1415276480
15ca2c06e
hex89bb8c0

144423104 has 112 divisors (see below), whose sum is σ = 353080320. Its totient is φ = 57390336.

The previous prime is 144423101. The next prime is 144423121. The reversal of 144423104 is 401324441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 144423104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144423101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3072809 + ... + 3072855.

Almost surely, 2144423104 is an apocalyptic number.

144423104 is a gapful number since it is divisible by the number (14) 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 144423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176540160).

144423104 is an abundant number, since it is smaller than the sum of its proper divisors (208657216).

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

144423104 is an frugal number, since it uses more digits than its factorization.

144423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 144423104 is about 12017.6164025983. The cubic root of 144423104 is about 524.6611315844.

Adding to 144423104 its reverse (401324441), we get a palindrome (545747545).

It can be divided in two parts, 1444 and 23104, that multiplied together give a 4-th power (33362176 = 764).

The spelling of 144423104 in words is "one hundred forty-four million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 47 56 64 76 94 112 133 152 188 224 266 304 329 361 376 448 532 608 658 722 752 893 1064 1216 1316 1444 1504 1786 2128 2527 2632 2888 3008 3572 4256 5054 5264 5776 6251 6859 7144 8512 10108 10528 11552 12502 13718 14288 16967 20216 21056 23104 25004 27436 28576 33934 40432 48013 50008 54872 57152 67868 80864 96026 100016 109744 118769 135736 161728 192052 200032 219488 237538 271472 322373 384104 400064 438976 475076 542944 644746 768208 950152 1085888 1289492 1536416 1900304 2256611 2578984 3072832 3800608 4513222 5157968 7601216 9026444 10315936 18052888 20631872 36105776 72211552 144423104