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144606356664 = 233721111178599
BaseRepresentation
bin1000011010101100110…
…1011110010010111000
3111211020212101001011120
42012223031132102320
54332123211403124
6150233052025240
713306323515400
oct2065315362270
9454225331146
10144606356664
1156366578080
1224038462220
1310836cc6723
146ddb301800
153b6531cd79
hex21ab35e4b8

144606356664 has 96 divisors (see below), whose sum is σ = 458769744000. Its totient is φ = 37560089280.

The previous prime is 144606356651. The next prime is 144606356717. The reversal of 144606356664 is 466653606441.

It is a happy number.

144606356664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5576364 + ... + 5602235.

It is an arithmetic number, because the mean of its divisors is an integer number (4778851500).

Almost surely, 2144606356664 is an apocalyptic number.

144606356664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144606356664 is an abundant number, since it is smaller than the sum of its proper divisors (314163387336).

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

144606356664 is a wasteful number, since it uses less digits than its factorization.

144606356664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178633 (or 11178622 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 144606356664 in words is "one hundred forty-four billion, six hundred six million, three hundred fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 11178599 22357198 33535797 44714396 67071594 78250193 89428792 122964589 134143188 156500386 234750579 245929178 268286376 313000772 368893767 469501158 491858356 547751351 626001544 737787534 860752123 939002316 983716712 1095502702 1475575068 1643254053 1721504246 1878004632 2191005404 2582256369 2951150136 3286508106 3443008492 4382010808 5164512738 6025264861 6573016212 6886016984 10329025476 12050529722 13146032424 18075794583 20658050952 24101059444 36151589166 48202118888 72303178332 144606356664