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144121431444012 = 223211363943008697
BaseRepresentation
bin100000110001001111100010…
…101110011100101000101100
3200220021212121100121202001200
4200301033202232130220230
5122342241142422202022
61230304245510205500
742233300265401601
oct4061174256345054
9626255540552050
10144121431444012
1141a156128a3010
12141b7847953890
136255792131289
14278372bb0c6a8
15119dde0e53bac
hex8313e2b9ca2c

144121431444012 has 36 divisors (see below), whose sum is σ = 397425765498216. Its totient is φ = 43673161043520.

The previous prime is 144121431443981. The next prime is 144121431444019. The reversal of 144121431444012 is 210444134121441.

144121431444012 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 214 + 31 + 4 + 4 + 401 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1441214314440122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144121431444019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181971503953 + ... + 181971504744.

Almost surely, 2144121431444012 is an apocalyptic number.

144121431444012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144121431444012 is an abundant number, since it is smaller than the sum of its proper divisors (253304334054204).

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

144121431444012 is a wasteful number, since it uses less digits than its factorization.

144121431444012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363943008718 (or 363943008713 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 144121431444012 its reverse (210444134121441), we get a palindrome (354565565565453).

The spelling of 144121431444012 in words is "one hundred forty-four trillion, one hundred twenty-one billion, four hundred thirty-one million, four hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 363943008697 727886017394 1091829026091 1455772034788 2183658052182 3275487078273 4003373095667 4367316104364 6550974156546 8006746191334 12010119287001 13101948313092 16013492382668 24020238574002 36030357861003 48040477148004 72060715722006 144121431444012