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144252023212 = 2211192137151439
BaseRepresentation
bin1000011001011000010…
…1110011000110101100
3111210100011122001001101
42012112011303012230
54330412004220322
6150133553252444
713264461652303
oct2062605630654
9453304561041
10144252023212
11561a4563110
1223b59864124
13107ab783c6b
146da622743a
153b4417a327
hex21961731ac

144252023212 has 144 divisors (see below), whose sum is σ = 295378997760. Its totient is φ = 61116768000.

The previous prime is 144252023207. The next prime is 144252023239. The reversal of 144252023212 is 212320252441.

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 47 ways as a sum of consecutive naturals, for example, 328592089 + ... + 328592527.

It is an arithmetic number, because the mean of its divisors is an integer number (2051243040).

Almost surely, 2144252023212 is an apocalyptic number.

It is an amenable number.

144252023212 is an abundant number, since it is smaller than the sum of its proper divisors (151126974548).

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

144252023212 is a wasteful number, since it uses less digits than its factorization.

144252023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 144252023212 its reverse (212320252441), we get a palindrome (356572275653).

The spelling of 144252023212 in words is "one hundred forty-four billion, two hundred fifty-two million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 76 137 151 209 274 302 361 418 439 548 604 722 836 878 1444 1507 1661 1756 2603 2869 3014 3322 3971 4829 5206 5738 6028 6644 7942 8341 9658 10412 11476 15884 16682 19316 20687 28633 31559 33364 41374 49457 54511 57266 60143 63118 66289 82748 91751 98914 109022 114532 120286 126236 132578 158479 183502 197828 218044 227557 240572 265156 316958 367004 393053 455114 544027 599621 633916 661573 729179 786106 910228 1088054 1142717 1199242 1259491 1323146 1458358 1572212 1743269 2176108 2285434 2398484 2518982 2646292 2916716 3486538 4323583 4570868 5037964 6973076 7468007 8647166 9081593 12569887 13854401 14936014 17294332 18163186 21711623 23930329 25139774 27708802 29872028 36326372 43423246 47860658 50279548 55417604 82148077 86846492 95721316 99897523 164296154 172550267 199795046 238827853 263233619 328592308 345100534 399590092 477655706 526467238 690201068 955311412 1052934476 1898052937 3278455073 3796105874 6556910146 7592211748 13113820292 36063005803 72126011606 144252023212