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144581087972 = 22389568916333
BaseRepresentation
bin1000011010100110110…
…1000101001011100100
3111211012002211021001002
42012221231011023210
54332100224303342
6150230350252432
713305565653626
oct2065155051344
9454162737032
10144581087972
1156353289362
122402bab7118
13108319ba139
146dd7c04c16
153b62ecad32
hex21a9b452e4

144581087972 has 24 divisors (see below), whose sum is σ = 253727455800. Its totient is φ = 72087618816.

The previous prime is 144581087971. The next prime is 144581087983. The reversal of 144581087972 is 279780185441.

It can be written as a sum of positive squares in 4 ways, for example, as 11521016896 + 133060071076 = 107336^2 + 364774^2 .

It is not an unprimeable number, because it can be changed into a prime (144581087971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8843918 + ... + 8860250.

It is an arithmetic number, because the mean of its divisors is an integer number (10571977325).

Almost surely, 2144581087972 is an apocalyptic number.

It is an amenable number.

144581087972 is a deficient number, since it is larger than the sum of its proper divisors (109146367828).

144581087972 is a wasteful number, since it uses less digits than its factorization.

144581087972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22415 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 56.

The spelling of 144581087972 in words is "one hundred forty-four billion, five hundred eighty-one million, eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 389 778 1556 5689 11378 16333 22756 32666 65332 2213021 4426042 6353537 8852084 12707074 25414148 92918437 185836874 371673748 36145271993 72290543986 144581087972