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144241344011412 = 22328672946197973
BaseRepresentation
bin100000110010111111001110…
…000100100101110010010100
3200220201100010021021022120200
4200302333032010211302110
5122401222233031331122
61230435320400500500
742245043653403504
oct4062771604456224
9626640107238520
10144241344011412
1141a6145736a78a
1214216b3231a730
136263b9218517b
1427894655b5a04
1511a20ad3d85ac
hex832fce125c94

144241344011412 has 36 divisors (see below), whose sum is σ = 364614275936820. Its totient is φ = 48079892587392.

The previous prime is 144241344011411. The next prime is 144241344011419. The reversal of 144241344011412 is 214110443142441.

144241344011412 is a `hidden beast` number, since 1 + 4 + 4 + 241 + 3 + 4 + 401 + 1 + 4 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58795095497616 + 85446248513796 = 7667796^2 + 9243714^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144241344011411) 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, 19976743 + ... + 26221230.

Almost surely, 2144241344011412 is an apocalyptic number.

144241344011412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144241344011412 is an abundant number, since it is smaller than the sum of its proper divisors (220372931925408).

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

144241344011412 is a wasteful number, since it uses less digits than its factorization.

144241344011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46284712 (or 46284707 counting only the distinct ones).

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

Adding to 144241344011412 its reverse (214110443142441), we get a palindrome (358351787153853).

The spelling of 144241344011412 in words is "one hundred forty-four trillion, two hundred forty-one billion, three hundred forty-four million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 86729 173458 260187 346916 520374 780561 1040748 1561122 3122244 46197973 92395946 138593919 184791892 277187838 415781757 554375676 831563514 1663127028 4006704000317 8013408000634 12020112000951 16026816001268 24040224001902 36060336002853 48080448003804 72120672005706 144241344011412