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144234420 = 223511219867
BaseRepresentation
bin10001001100011…
…01011110110100
3101001101212102120
420212031132310
5243411000140
622151235540
73400654341
oct1046153664
9331355376
10144234420
1174464500
1240378bb0
1323b60815
14152277c8
15c9e11d0
hex898d7b4

144234420 has 72 divisors (see below), whose sum is σ = 443930592. Its totient is φ = 34964160.

The previous prime is 144234401. The next prime is 144234437. The reversal of 144234420 is 24432441.

It is a happy number.

144234420 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 23 ways as a sum of consecutive naturals, for example, 2674 + ... + 17193.

Almost surely, 2144234420 is an apocalyptic number.

144234420 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 144234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221965296).

144234420 is an abundant number, since it is smaller than the sum of its proper divisors (299696172).

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

144234420 is a wasteful number, since it uses less digits than its factorization.

144234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19901 (or 19888 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144234420 is about 12009.7635280633. The cubic root of 144234420 is about 524.4325478817.

Adding to 144234420 its reverse (24432441), we get a palindrome (168666861).

The spelling of 144234420 in words is "one hundred forty-four million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 19867 39734 59601 79468 99335 119202 198670 218537 238404 298005 397340 437074 596010 655611 874148 1092685 1192020 1311222 2185370 2403907 2622444 3278055 4370740 4807814 6556110 7211721 9615628 12019535 13112220 14423442 24039070 28846884 36058605 48078140 72117210 144234420