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144800814468 = 22312066734539
BaseRepresentation
bin1000011011011011001…
…1010001010110000100
3111211202102021112010110
42012312303101112010
54333023002030333
6150304235553020
713314204420642
oct2066663212604
9454672245113
10144800814468
1156456315102
12240915bb770
131086839020b
147019080192
153b77430063
hex21b6cd1584

144800814468 has 12 divisors (see below), whose sum is σ = 337868567120. Its totient is φ = 48266938152.

The previous prime is 144800814407. The next prime is 144800814479. The reversal of 144800814468 is 864418008441.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×1448008144683 (a number of 34 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 6033367258 + ... + 6033367281.

Almost surely, 2144800814468 is an apocalyptic number.

It is an amenable number.

144800814468 is an abundant number, since it is smaller than the sum of its proper divisors (193067752652).

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

144800814468 is a wasteful number, since it uses less digits than its factorization.

144800814468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066734546 (or 12066734544 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 144800814468 in words is "one hundred forty-four billion, eight hundred million, eight hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 12066734539 24133469078 36200203617 48266938156 72400407234 144800814468