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144127284 = 22373779587
BaseRepresentation
bin10001001011100…
…11010100110100
3101001012102110120
420211303110310
5243344033114
622145051540
73400030110
oct1045632464
9331172416
10144127284
11743a0a64
1240326bb0
1323b23b22
14151da740
15c9be5a9
hex8973534

144127284 has 96 divisors (see below), whose sum is σ = 400404480. Its totient is φ = 39491712.

The previous prime is 144127279. The next prime is 144127297. The reversal of 144127284 is 482721441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245239 + ... + 245825.

It is an arithmetic number, because the mean of its divisors is an integer number (4170880).

Almost surely, 2144127284 is an apocalyptic number.

144127284 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 144127284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200202240).

144127284 is an abundant number, since it is smaller than the sum of its proper divisors (256277196).

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

144127284 is a wasteful number, since it uses less digits than its factorization.

144127284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 144127284 is about 12005.3023285547. The cubic root of 144127284 is about 524.3026678282.

The spelling of 144127284 in words is "one hundred forty-four million, one hundred twenty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 79 84 111 148 158 222 237 259 316 444 474 518 553 587 777 948 1036 1106 1174 1554 1659 1761 2212 2348 2923 3108 3318 3522 4109 5846 6636 7044 8218 8769 11692 12327 16436 17538 20461 21719 24654 35076 40922 43438 46373 49308 61383 65157 81844 86876 92746 122766 130314 139119 152033 185492 245532 260628 278238 304066 324611 456099 556476 608132 649222 912198 973833 1298444 1715801 1824396 1947666 3431602 3895332 5147403 6863204 10294806 12010607 20589612 24021214 36031821 48042428 72063642 144127284