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144153100 = 225272133173
BaseRepresentation
bin10001001011110…
…01101000001100
3101001020201212201
420211321220030
5243400344400
622145411244
73400165300
oct1045715014
9331221781
10144153100
11744093a3
1240339b24
1323b327c0
1415205d00
15c9c706a
hex8979a0c

144153100 has 216 divisors, whose sum is σ = 410057088. Its totient is φ = 43545600.

The previous prime is 144153091. The next prime is 144153101. The reversal of 144153100 is 1351441.

It is a super-2 number, since 2×1441531002 = 41560232479220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144153101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1974664 + ... + 1974736.

Almost surely, 2144153100 is an apocalyptic number.

144153100 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 144153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205028544).

144153100 is an abundant number, since it is smaller than the sum of its proper divisors (265903988).

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

144153100 is a wasteful number, since it uses less digits than its factorization.

144153100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 144153100 is about 12006.3774719938. The cubic root of 144153100 is about 524.3339702280. Note that the first 3 decimals are identical.

The spelling of 144153100 in words is "one hundred forty-four million, one hundred fifty-three thousand, one hundred".