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144804071478 = 231143101505181
BaseRepresentation
bin1000011011011011111…
…1101100100000110110
3111211202122101222220110
42012312333230200312
54333024320241403
6150304433443450
713314244204413
oct2066677544066
9454678358813
10144804071478
115645813a150
1224092710586
1310868c60841
14701968b10a
153b77875103
hex21b6fec836

144804071478 has 64 divisors (see below), whose sum is σ = 326484981504. Its totient is φ = 42435120000.

The previous prime is 144804071431. The next prime is 144804071479. The reversal of 144804071478 is 874170408441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144804071479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34048 + ... + 539228.

It is an arithmetic number, because the mean of its divisors is an integer number (5101327836).

Almost surely, 2144804071478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144804071478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163242490752).

144804071478 is an abundant number, since it is smaller than the sum of its proper divisors (181680910026).

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

144804071478 is a wasteful number, since it uses less digits than its factorization.

144804071478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505341.

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 144804071478 in words is "one hundred forty-four billion, eight hundred four million, seventy-one thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 43 66 86 101 129 202 258 303 473 606 946 1111 1419 2222 2838 3333 4343 6666 8686 13029 26058 47773 95546 143319 286638 505181 1010362 1515543 3031086 5556991 11113982 16670973 21722783 33341946 43445566 51023281 65168349 102046562 130336698 153069843 238950613 306139686 477901226 561256091 716851839 1122512182 1433703678 1683768273 2194001083 3367536546 4388002166 6582003249 13164006498 24134011913 48268023826 72402035739 144804071478