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144952043820 = 22352415867397
BaseRepresentation
bin1000011011111111010…
…0001010100100101100
3111212010221211202210120
42012333310022210230
54333330210400240
6150331241204540
713321022020563
oct2067764124454
9455127752716
10144952043820
1156523716a41
1224114190750
13108907cc83c
1470311a8bda
153b85853ad0
hex21bfd0a92c

144952043820 has 24 divisors (see below), whose sum is σ = 405865722864. Its totient is φ = 38653878336.

The previous prime is 144952043813. The next prime is 144952043827. The reversal of 144952043820 is 28340259441.

It is a happy number.

144952043820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144952043813) and next prime (144952043827).

It is a super-3 number, since 3×1449520438203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (144952043827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207933639 + ... + 1207933758.

It is an arithmetic number, because the mean of its divisors is an integer number (16911071786).

Almost surely, 2144952043820 is an apocalyptic number.

144952043820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144952043820 is an abundant number, since it is smaller than the sum of its proper divisors (260913679044).

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

144952043820 is a wasteful number, since it uses less digits than its factorization.

144952043820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415867409 (or 2415867407 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 144952043820 in words is "one hundred forty-four billion, nine hundred fifty-two million, forty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2415867397 4831734794 7247602191 9663469588 12079336985 14495204382 24158673970 28990408764 36238010955 48317347940 72476021910 144952043820