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144147607212 = 22373763117349
BaseRepresentation
bin1000011000111111011…
…1011110111010101100
3111210001220011011020010
42012033313132322230
54330203241412322
6150115343253220
713262053305420
oct2061767367254
9453056134203
10144147607212
11561506258a4
1223b2a8aa210
1310792c5544b
146d96406b80
153b39e0220c
hex218fddeeac

144147607212 has 96 divisors (see below), whose sum is σ = 394898918400. Its totient is φ = 40060120320.

The previous prime is 144147607207. The next prime is 144147607229. The reversal of 144147607212 is 212706741441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19610914 + ... + 19618262.

It is an arithmetic number, because the mean of its divisors is an integer number (4113530400).

Almost surely, 2144147607212 is an apocalyptic number.

144147607212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144147607212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197449459200).

144147607212 is an abundant number, since it is smaller than the sum of its proper divisors (250751311188).

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

144147607212 is a wasteful number, since it uses less digits than its factorization.

144147607212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13711 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 144147607212 in words is "one hundred forty-four billion, one hundred forty-seven million, six hundred seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 6311 7349 12622 14698 18933 22047 25244 29396 37866 44094 44177 51443 75732 88188 88354 102886 132531 154329 176708 205772 233507 265062 271913 308658 467014 530124 543826 617316 700521 815739 934028 1087652 1401042 1631478 1634549 1903391 2802084 3262956 3269098 3806782 4903647 5710173 6538196 7613564 9807294 11420346 19614588 22840692 46379539 92759078 139138617 185518156 278277234 324656773 556554468 649313546 973970319 1298627092 1716042943 1947940638 3432085886 3895881276 5148128829 6864171772 10296257658 12012300601 20592515316 24024601202 36036901803 48049202404 72073803606 144147607212