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144153432 = 2335292557
BaseRepresentation
bin10001001011110…
…01101101011000
3101001020202100000
420211321231120
5243400402212
622145413000
73400166253
oct1045715530
9331222300
10144153432
1174409675
124033a160
1323b329b7
141520609a
15c9c71dc
hex8979b58

144153432 has 96 divisors (see below), whose sum is σ = 419000400. Its totient is φ = 46376064.

The previous prime is 144153413. The next prime is 144153463. The reversal of 144153432 is 234351441.

It is a happy number.

144153432 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 144153396 and 144153405.

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, 55098 + ... + 57654.

Almost surely, 2144153432 is an apocalyptic number.

144153432 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 144153432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209500200).

144153432 is an abundant number, since it is smaller than the sum of its proper divisors (274846968).

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

144153432 is a wasteful number, since it uses less digits than its factorization.

144153432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2591 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 144153432 is about 12006.3912979713. The cubic root of 144153432 is about 524.3343727601.

The spelling of 144153432 in words is "one hundred forty-four million, one hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 1044 1566 1944 2088 2349 2557 3132 4698 5114 6264 7047 7671 9396 10228 14094 15342 18792 20456 23013 28188 30684 46026 56376 61368 69039 74153 92052 138078 148306 184104 207117 222459 276156 296612 414234 444918 552312 593224 621351 667377 828468 889836 1242702 1334754 1656936 1779672 2002131 2485404 2669508 4004262 4970808 5339016 6006393 8008524 12012786 16017048 18019179 24025572 36038358 48051144 72076716 144153432