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144030012 = 22372397617
BaseRepresentation
bin10001001010110…
…11100100111100
3101001000111000220
420211123210330
5243332430022
622143021340
73366143400
oct1045334474
9331014026
10144030012
1174334975
124029a850
1323abb779
14151b3100
15c9a085c
hex895b93c

144030012 has 72 divisors (see below), whose sum is σ = 392558544. Its totient is φ = 40981248.

The previous prime is 144029987. The next prime is 144030041. The reversal of 144030012 is 210030441.

144030012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144029973 and 144030000.

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, 233128 + ... + 233744.

It is an arithmetic number, because the mean of its divisors is an integer number (5452202).

Almost surely, 2144030012 is an apocalyptic number.

144030012 is a gapful number since it is divisible by the number (12) 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 144030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196279272).

144030012 is an abundant number, since it is smaller than the sum of its proper divisors (248528532).

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

144030012 is a wasteful number, since it uses less digits than its factorization.

144030012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 144030012 is about 12001.2504348505. The cubic root of 144030012 is about 524.1846900580.

Adding to 144030012 its reverse (210030441), we get a palindrome (354060453).

The spelling of 144030012 in words is "one hundred forty-four million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 397 588 617 794 1191 1234 1588 1851 2382 2468 2779 3702 4319 4764 5558 7404 8337 8638 11116 12957 16674 17276 19453 25914 30233 33348 38906 51828 58359 60466 77812 90699 116718 120932 181398 233436 244949 362796 489898 734847 979796 1469694 1714643 2939388 3429286 5143929 6858572 10287858 12002501 20575716 24005002 36007503 48010004 72015006 144030012