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144153330440200 = 23524041131783577
BaseRepresentation
bin100000110001101101010000…
…000011011101100000001000
3200220101220221110012122110221
4200301231100003131200020
5122343302010043041300
61230331043100315424
742235506624366514
oct4061552003354010
9626356843178427
10144153330440200
1141a280a1a66a84
1214201a6a842b74
1362587a6a68053
1427850b643d144
15119eb5b63d31a
hex831b500dd808

144153330440200 has 48 divisors (see below), whose sum is σ = 335157510549780. Its totient is φ = 57661157160960.

The previous prime is 144153330440089. The next prime is 144153330440221. The reversal of 144153330440200 is 2044033351441.

It can be written as a sum of positive squares in 6 ways, for example, as 36234645316 + 144117095794884 = 190354^2 + 12004878^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79930812 + ... + 81714388.

Almost surely, 2144153330440200 is an apocalyptic number.

144153330440200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144153330440200 is an abundant number, since it is smaller than the sum of its proper divisors (191004180109580).

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

144153330440200 is a wasteful number, since it uses less digits than its factorization.

144153330440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187706 (or 2187697 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 144153330440200 its reverse (2044033351441), we get a palindrome (146197363791641).

The spelling of 144153330440200 in words is "one hundred forty-four trillion, one hundred fifty-three billion, three hundred thirty million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 404113 808226 1616452 1783577 2020565 3232904 3567154 4041130 7134308 8082260 8917885 10102825 14268616 16164520 17835770 20205650 35671540 40411300 44589425 71343080 80822600 89178850 178357700 356715400 720766652201 1441533304402 2883066608804 3603833261005 5766133217608 7207666522010 14415333044020 18019166305025 28830666088040 36038332610050 72076665220100 144153330440200