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144429420 = 223523104659
BaseRepresentation
bin10001001101111…
…01000101101100
3101001202202220210
420212331011230
5243433220140
622155342420
73402426012
oct1046750554
9331682823
10144429420
1174587a63
1240451a10
1323bcb4c5
14152788b2
15ca2dd80
hex89bd16c

144429420 has 48 divisors (see below), whose sum is σ = 421989120. Its totient is φ = 36839616.

The previous prime is 144429419. The next prime is 144429437. The reversal of 144429420 is 24924441.

144429420 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 (30).

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, 50950 + ... + 53709.

It is an arithmetic number, because the mean of its divisors is an integer number (8791440).

Almost surely, 2144429420 is an apocalyptic number.

144429420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144429420 is an abundant number, since it is smaller than the sum of its proper divisors (277559700).

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

144429420 is a wasteful number, since it uses less digits than its factorization.

144429420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104694 (or 104692 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144429420 is about 12017.8791806208. The cubic root of 144429420 is about 524.6687797406.

The spelling of 144429420 in words is "one hundred forty-four million, four hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 104659 209318 313977 418636 523295 627954 1046590 1255908 1569885 2093180 2407157 3139770 4814314 6279540 7221471 9628628 12035785 14442942 24071570 28885884 36107355 48143140 72214710 144429420