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144028032 = 2731572389
BaseRepresentation
bin10001001010110…
…11000110000000
3101001000101022120
420211123012000
5243332344112
622143004240
73366134541
oct1045330600
9331011276
10144028032
1174333435
1240299680
1323aba8b5
14151b24c8
15c99ee8c
hex895b180

144028032 has 64 divisors (see below), whose sum is σ = 385172400. Its totient is φ = 47683584.

The previous prime is 144028021. The next prime is 144028043. The reversal of 144028032 is 230820441.

It is an interprime number because it is at equal distance from previous prime (144028021) and next prime (144028043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144027993 and 144028011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59094 + ... + 61482.

Almost surely, 2144028032 is an apocalyptic number.

144028032 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 144028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192586200).

144028032 is an abundant number, since it is smaller than the sum of its proper divisors (241144368).

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

144028032 is a wasteful number, since it uses less digits than its factorization.

144028032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144028032 is about 12001.1679431629. The cubic root of 144028032 is about 524.1822880345.

Adding to 144028032 its reverse (230820441), we get a palindrome (374848473).

The spelling of 144028032 in words is "one hundred forty-four million, twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2389 2512 3768 4778 5024 7167 7536 9556 10048 14334 15072 19112 20096 28668 30144 38224 57336 60288 76448 114672 152896 229344 305792 375073 458688 750146 917376 1125219 1500292 2250438 3000584 4500876 6001168 9001752 12002336 18003504 24004672 36007008 48009344 72014016 144028032