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144414420 = 22358632789
BaseRepresentation
bin10001001101110…
…01011011010100
3101001202000100020
420212321123110
5243432230140
622155145140
73402334203
oct1046713324
9331660306
10144414420
1174577767
12404451b0
1323bc4727
141527323a
15ca296d0
hex89b96d4

144414420 has 48 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 38452096.

The previous prime is 144414407. The next prime is 144414443. The reversal of 144414420 is 24414441.

It is a happy number.

144414420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 50386 + ... + 53174.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2144414420 is an apocalyptic number.

144414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144414420 is an abundant number, since it is smaller than the sum of its proper divisors (260559660).

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

144414420 is a wasteful number, since it uses less digits than its factorization.

144414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 144414420 is about 12017.2550942385. The cubic root of 144414420 is about 524.6506156109.

Adding to 144414420 its reverse (24414441), we get a palindrome (168828861).

The spelling of 144414420 in words is "one hundred forty-four million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 863 1726 2589 2789 3452 4315 5178 5578 8367 8630 10356 11156 12945 13945 16734 17260 25890 27890 33468 41835 51780 55780 83670 167340 2406907 4813814 7220721 9627628 12034535 14441442 24069070 28882884 36103605 48138140 72207210 144414420