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144031104 = 2732753337
BaseRepresentation
bin10001001010110…
…11110110000000
3101001000112112100
420211123312000
5243332443404
622143030400
73366146520
oct1045336600
9331015470
10144031104
1174335778
124029b400
1323abc109
14151b3680
15c9a0d39
hex895bd80

144031104 has 192 divisors, whose sum is σ = 484043040. Its totient is φ = 40255488.

The previous prime is 144031091. The next prime is 144031127. The reversal of 144031104 is 401130441.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 427224 + ... + 427560.

Almost surely, 2144031104 is an apocalyptic number.

144031104 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 144031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242021520).

144031104 is an abundant number, since it is smaller than the sum of its proper divisors (340011936).

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

144031104 is a wasteful number, since it uses less digits than its factorization.

144031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144031104 is about 12001.2959300236. The cubic root of 144031104 is about 524.1860148010.

Adding to 144031104 its reverse (401130441), we get a palindrome (545161545).

The spelling of 144031104 in words is "one hundred forty-four million, thirty-one thousand, one hundred four".