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144203340304 = 24232927974831
BaseRepresentation
bin1000011001001100110…
…0000101101000010000
3111210012210000200122201
42012103030011220100
54330312023342204
6150125054012544
713263331111522
oct2062314055020
9453183020581
10144203340304
115617a031a01
1223b454a7154
13107a166a1ca
146d9d993a12
153b3ec609a4
hex2193305a10

144203340304 has 80 divisors (see below), whose sum is σ = 301764971520. Its totient is φ = 66551063040.

The previous prime is 144203340271. The next prime is 144203340353. The reversal of 144203340304 is 403043302441.

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 15 ways as a sum of consecutive naturals, for example, 29847169 + ... + 29851999.

It is an arithmetic number, because the mean of its divisors is an integer number (3772062144).

Almost surely, 2144203340304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144203340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150882485760).

144203340304 is an abundant number, since it is smaller than the sum of its proper divisors (157561631216).

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

144203340304 is a wasteful number, since it uses less digits than its factorization.

144203340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 144203340304 its reverse (403043302441), we get a palindrome (547246642745).

The spelling of 144203340304 in words is "one hundred forty-four billion, two hundred three million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 2797 4831 5336 5594 9662 10672 11188 19324 22376 38648 44752 64331 77296 81113 111113 128662 140099 162226 222226 257324 280198 324452 444452 514648 560396 648904 888904 1029296 1120792 1297808 1777808 1865599 2241584 3222277 3731198 6444554 7462396 12889108 13512307 14924792 25778216 27024614 29849584 51556432 54049228 108098456 216196912 310783061 391856903 621566122 783713806 1243132244 1567427612 2486264488 3134855224 4972528976 6269710448 9012708769 18025417538 36050835076 72101670152 144203340304