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144130344090 = 235151280311351
BaseRepresentation
bin1000011000111011010…
…1101000010010011010
3111210000200200002200020
42012032311220102122
54330134332002330
6150113525251310
713261453465545
oct2061665502232
9453020602606
10144130344090
1156141904857
1223b24b63b36
131078c4bc995
146d93dd185c
153b38642210
hex218ed6849a

144130344090 has 64 divisors (see below), whose sum is σ = 348358551552. Its totient is φ = 38163240000.

The previous prime is 144130344089. The next prime is 144130344091. The reversal of 144130344090 is 90443031441.

It is an interprime number because it is at equal distance from previous prime (144130344089) and next prime (144130344091).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144130344091) 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 31 ways as a sum of consecutive naturals, for example, 12691915 + ... + 12703265.

It is an arithmetic number, because the mean of its divisors is an integer number (5443102368).

Almost surely, 2144130344090 is an apocalyptic number.

144130344090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144130344090 is an abundant number, since it is smaller than the sum of its proper divisors (204228207462).

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

144130344090 is a wasteful number, since it uses less digits than its factorization.

144130344090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14315.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 144130344090 in words is "one hundred forty-four billion, one hundred thirty million, three hundred forty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 151 302 453 755 906 1510 2265 2803 4530 5606 8409 11351 14015 16818 22702 28030 34053 42045 56755 68106 84090 113510 170265 340530 423253 846506 1269759 1714001 2116265 2539518 3428002 4232530 5142003 6348795 8570005 10284006 12697590 17140010 25710015 31816853 51420030 63633706 95450559 159084265 190901118 318168530 477252795 954505590 4804344803 9608689606 14413034409 24021724015 28826068818 48043448030 72065172045 144130344090