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144441400 = 23523123297
BaseRepresentation
bin10001001110000…
…00000000111000
3101001210101100111
420213000000320
5243434111100
622155514104
73402505645
oct1047000070
9331711314
10144441400
1174595a64
1240458934
1323c03aac
141527cdcc
15ca326ba
hex89c0038

144441400 has 48 divisors (see below), whose sum is σ = 346674240. Its totient is φ = 55910400.

The previous prime is 144441397. The next prime is 144441419. The reversal of 144441400 is 4144441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5449 + ... + 17848.

It is an arithmetic number, because the mean of its divisors is an integer number (7222380).

Almost surely, 2144441400 is an apocalyptic number.

144441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441400 is an abundant number, since it is smaller than the sum of its proper divisors (202232840).

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

144441400 is a wasteful number, since it uses less digits than its factorization.

144441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23344 (or 23335 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 144441400 is about 12018.3775943344. The cubic root of 144441400 is about 524.6832859223.

Adding to 144441400 its reverse (4144441), we get a palindrome (148585841).

The spelling of 144441400 in words is "one hundred forty-four million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 23297 46594 93188 116485 186376 232970 465940 582425 722207 931880 1164850 1444414 2329700 2888828 3611035 4659400 5777656 7222070 14444140 18055175 28888280 36110350 72220700 144441400