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144898065 = 3451322973
BaseRepresentation
bin10001010001011…
…11100000010001
3101002122120210000
420220233200101
5244043214230
622213400213
73406420224
oct1050574021
9332576700
10144898065
1174878074
1240639069
1324033900
141535b5bb
15cac2b60
hex8a2f811

144898065 has 120 divisors (see below), whose sum is σ = 294944760. Its totient is φ = 67931136.

The previous prime is 144898063. The next prime is 144898093. The reversal of 144898065 is 560898441.

It can be written as a sum of positive squares in 12 ways, for example, as 75742209 + 69155856 = 8703^2 + 8316^2 .

It is not a de Polignac number, because 144898065 - 21 = 144898063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144898065.

It is not an unprimeable number, because it can be changed into a prime (144898063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1984869 + ... + 1984941.

It is an arithmetic number, because the mean of its divisors is an integer number (2457873).

Almost surely, 2144898065 is an apocalyptic number.

144898065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144898065 is an abundant number, since it is smaller than the sum of its proper divisors (150046695).

144898065 is a wasteful number, since it uses less digits than its factorization.

144898065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 144898065 is about 12037.3612141532. The cubic root of 144898065 is about 525.2356493136.

The spelling of 144898065 in words is "one hundred forty-four million, eight hundred ninety-eight thousand, sixty-five".

Divisors: 1 3 5 9 13 15 27 29 39 45 65 73 81 87 117 135 145 169 195 219 261 351 365 377 405 435 507 585 657 783 845 949 1053 1095 1131 1305 1521 1755 1885 1971 2117 2349 2535 2847 3285 3393 3915 4563 4745 4901 5265 5655 5913 6351 7605 8541 9855 10179 10585 11745 12337 13689 14235 14703 16965 19053 22815 24505 25623 27521 29565 30537 31755 37011 42705 44109 50895 57159 61685 68445 73515 76869 82563 95265 111033 128115 132327 137605 152685 171477 185055 220545 247689 285795 333099 357773 384345 396981 412815 555165 661635 743067 857385 999297 1073319 1238445 1665495 1788865 1984905 2229201 3219957 3715335 4996485 5366595 9659871 11146005 16099785 28979613 48299355 144898065