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144211022041032 = 23322002930861681
BaseRepresentation
bin100000110010100010111110…
…101111011100111111001000
3200220121102212002010121212200
4200302202332233130333020
5122400223133120303112
61230413343503440200
742242621364041502
oct4062427657347710
9626542762117780
10144211022041032
1141a4a607406631
121421108b5b6060
13626106c19c06b
142787bca4b8d72
1511a13d63b0cdc
hex8328bebdcfc8

144211022041032 has 24 divisors (see below), whose sum is σ = 390571518027990. Its totient is φ = 48070340680320.

The previous prime is 144211022041019. The next prime is 144211022041039. The reversal of 144211022041032 is 230140220112441.

144211022041032 is a `hidden beast` number, since 1 + 4 + 4 + 21 + 1 + 0 + 220 + 410 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144139857942276 + 71164098756 = 12005826^2 + 266766^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1442110220410322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144211022040987 and 144211022041005.

It is not an unprimeable number, because it can be changed into a prime (144211022041039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1001465430769 + ... + 1001465430912.

Almost surely, 2144211022041032 is an apocalyptic number.

144211022041032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144211022041032 is an abundant number, since it is smaller than the sum of its proper divisors (246360495986958).

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

144211022041032 is a wasteful number, since it uses less digits than its factorization.

144211022041032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002930861693 (or 2002930861686 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144211022041032 its reverse (230140220112441), we get a palindrome (374351242153473).

The spelling of 144211022041032 in words is "one hundred forty-four trillion, two hundred eleven billion, twenty-two million, forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2002930861681 4005861723362 6008792585043 8011723446724 12017585170086 16023446893448 18026377755129 24035170340172 36052755510258 48070340680344 72105511020516 144211022041032