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144444053233251 = 325359132114592663
BaseRepresentation
bin100000110101111100000000…
…011110111001111001100011
3200221102201100102102201202200
4200311330000132321321203
5122413032410111431001
61231112403150544243
742265511202352452
oct4065740036717143
9627381312381680
10144444053233251
114202a4194463a2
121424a285208083
13627a028869395
1427951b540ab99
1511a74c4615086
hex835f007b9e63

144444053233251 has 96 divisors (see below), whose sum is σ = 216574287321600. Its totient is φ = 92709042117120.

The previous prime is 144444053233211. The next prime is 144444053233289. The reversal of 144444053233251 is 152332350444441.

It is a happy number.

144444053233251 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 405 + 3 + 233 + 2 + 5 + 1 = 666.

144444053233251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144444053233251 - 26 = 144444053233187 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144444053233197 and 144444053233206.

It is not an unprimeable number, because it can be changed into a prime (144444053233201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54241100146 + ... + 54241102808.

It is an arithmetic number, because the mean of its divisors is an integer number (2255982159600).

Almost surely, 2144444053233251 is an apocalyptic number.

144444053233251 is a deficient number, since it is larger than the sum of its proper divisors (72130234088349).

144444053233251 is a wasteful number, since it uses less digits than its factorization.

144444053233251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 144444053233251 in words is "one hundred forty-four trillion, four hundred forty-four billion, fifty-three million, two hundred thirty-three thousand, two hundred fifty-one".

Divisors: 1 3 9 53 59 159 177 477 531 1321 1459 2663 3127 3963 4377 7989 9381 11889 13131 23967 28143 70013 77327 77939 86081 141139 157117 210039 231981 233817 258243 423417 471351 630117 695943 701451 774729 1270251 1414053 1927339 3517823 3885317 4130767 4562293 5782017 8327201 10553469 11655951 12392301 13686879 17346051 24981603 31660407 34967853 37176903 41060637 74944809 102148967 113713001 186444619 205921801 207551557 229233703 306446901 341139003 559333857 617765403 622654671 687701109 919340703 1023417009 1678001571 1853296209 1867964013 2063103327 5132503757 6026789053 11000232521 12149386259 15397511271 18080367159 33000697563 36448158777 46192533813 54241101477 99002092689 109344476331 272022699121 302817721663 816068097363 908453164989 2448204292089 2725359494967 16049339248139 48148017744417 144444053233251