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144153324 = 22337474057
BaseRepresentation
bin10001001011110…
…01101011101100
3101001020202012000
420211321223230
5243400401244
622145412300
73400166040
oct1045715354
9331222160
10144153324
1174409587
124033a090
1323b32933
1415206020
15c9c7169
hex8979aec

144153324 has 96 divisors (see below), whose sum is σ = 436316160. Its totient is φ = 40300416.

The previous prime is 144153313. The next prime is 144153391. The reversal of 144153324 is 423351441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33504 + ... + 37560.

It is an arithmetic number, because the mean of its divisors is an integer number (4544960).

Almost surely, 2144153324 is an apocalyptic number.

144153324 is a gapful number since it is divisible by the number (14) 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 144153324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218158080).

144153324 is an abundant number, since it is smaller than the sum of its proper divisors (292162836).

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

144153324 is a wasteful number, since it uses less digits than its factorization.

144153324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4116 counting only the distinct ones).

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

The square root of 144153324 is about 12006.3868003659. The cubic root of 144153324 is about 524.3342418160.

The spelling of 144153324 in words is "one hundred forty-four million, one hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1692 1974 2538 2961 3948 4057 5076 5922 8114 8883 11844 12171 16228 17766 24342 28399 35532 36513 48684 56798 73026 85197 109539 113596 146052 170394 190679 219078 255591 340788 381358 438156 511182 572037 762716 766773 1022364 1144074 1334753 1533546 1716111 2288148 2669506 3067092 3432222 4004259 5148333 5339012 6864444 8008518 10296666 12012777 16017036 20593332 24025554 36038331 48051108 72076662 144153324