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145011503144 = 231931213714401
BaseRepresentation
bin1000011100001101011…
…0111111000000101000
3111212022002201121122202
42013003112333000220
54333440421100034
6150341203435332
713322343303434
oct2070326770050
9455262647582
10145011503144
1156554238682
1224130085b48
131089cc1a681
1470390459c4
153b8ab9b47e
hex21c35bf028

145011503144 has 64 divisors (see below), whose sum is σ = 295598169600. Its totient is φ = 66438144000.

The previous prime is 145011503137. The next prime is 145011503159. The reversal of 145011503144 is 441305110541.

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 15 ways as a sum of consecutive naturals, for example, 10062344 + ... + 10076744.

It is an arithmetic number, because the mean of its divisors is an integer number (4618721400).

Almost surely, 2145011503144 is an apocalyptic number.

It is an amenable number.

145011503144 is an abundant number, since it is smaller than the sum of its proper divisors (150586666456).

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

145011503144 is a wasteful number, since it uses less digits than its factorization.

145011503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16594 (or 16590 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 145011503144 its reverse (441305110541), we get a palindrome (586316613685).

The spelling of 145011503144 in words is "one hundred forty-five billion, eleven million, five hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 589 1178 2137 2356 4274 4712 8548 14401 17096 28802 40603 57604 66247 81206 115208 132494 162412 264988 273619 324824 446431 529976 547238 892862 1094476 1258693 1785724 2188952 2517386 3571448 5034772 8482189 10069544 16964378 30774937 33928756 61549874 67857512 123099748 246199496 584723803 954023047 1169447606 1908046094 2338895212 3816092188 4677790424 7632184376 18126437893 36252875786 72505751572 145011503144