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144440456453226 = 232733103930013511
BaseRepresentation
bin100000110101111000101010…
…000110010001110001101010
3200221102101001202110101010200
4200311320222012101301222
5122413003023323000401
61231111010223253030
742265323106261353
oct4065705206216152
9627371052411120
10144440456453226
114202894312731a
121424964074a176
1362798a4645a8b
142794d53858d2a
1511a736398c686
hex835e2a191c6a

144440456453226 has 96 divisors (see below), whose sum is σ = 313876789224960. Its totient is φ = 48005174880000.

The previous prime is 144440456453203. The next prime is 144440456453243. The reversal of 144440456453226 is 622354654044441.

It is a happy number.

144440456453226 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 0 + 4 + 564 + 53 + 2 + 26 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41139404811 + ... + 41139408321.

It is an arithmetic number, because the mean of its divisors is an integer number (3269549887760).

Almost surely, 2144440456453226 is an apocalyptic number.

144440456453226 is an abundant number, since it is smaller than the sum of its proper divisors (169436332771734).

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

144440456453226 is a wasteful number, since it uses less digits than its factorization.

144440456453226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 54.

The spelling of 144440456453226 in words is "one hundred forty-four trillion, four hundred forty billion, four hundred fifty-six million, four hundred fifty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 733 1039 1466 2078 2199 3001 3117 3511 4398 6002 6234 6597 7022 9003 9351 10533 13194 18006 18702 21066 27009 31599 54018 63198 761587 1523174 2199733 2284761 2573563 3118039 3647929 4399466 4569522 5147126 6236078 6599199 6854283 7295858 7720689 9354117 10536511 10943787 13198398 13708566 15441378 18708234 19797597 21073022 21887574 23162067 28062351 31609533 32831361 39595194 46324134 56124702 63219066 65662722 94828599 189657198 2285522587 2673931957 4571045174 5347863914 6856567761 7723262563 8021795871 10947434929 13713135522 15446525126 16043591742 20569703283 21894869858 23169787689 24065387613 32842304787 41139406566 46339575378 48130775226 65684609574 69509363067 98526914361 139018726134 197053828722 8024469802957 16048939605914 24073409408871 48146818817742 72220228226613 144440456453226