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144015354 = 23371492557
BaseRepresentation
bin10001001010101…
…11111111111010
3101000222201221000
420211113333322
5243331442404
622142425430
73366052560
oct1045277772
9330881830
10144015354
117432495a
1240292276
1323ab4bb2
14151aba30
15c99b339
hex8957ffa

144015354 has 64 divisors (see below), whose sum is σ = 368352000. Its totient is φ = 40855104.

The previous prime is 144015353. The next prime is 144015371. The reversal of 144015354 is 453510441.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (144015353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55044 + ... + 57600.

It is an arithmetic number, because the mean of its divisors is an integer number (5755500).

Almost surely, 2144015354 is an apocalyptic number.

144015354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144015354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184176000).

144015354 is an abundant number, since it is smaller than the sum of its proper divisors (224336646).

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

144015354 is a wasteful number, since it uses less digits than its factorization.

144015354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144015354 is about 12000.6397329476. The cubic root of 144015354 is about 524.1669072831.

Adding to 144015354 its reverse (453510441), we get a palindrome (597525795).

The spelling of 144015354 in words is "one hundred forty-four million, fifteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 378 447 894 1043 1341 2086 2557 2682 3129 4023 5114 6258 7671 8046 9387 15342 17899 18774 23013 28161 35798 46026 53697 56322 69039 107394 138078 161091 322182 380993 483273 761986 966546 1142979 2285958 2666951 3428937 5333902 6857874 8000853 10286811 16001706 20573622 24002559 48005118 72007677 144015354