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144636463664 = 247111923131039
BaseRepresentation
bin1000011010110100000…
…0010100101000110000
3111211022222000122012122
42012231000110220300
54332203413314124
6150240045213412
713310140441040
oct2065500245060
9454288018178
10144636463664
11563815709a0
1224046561268
1310840308314
1470012db720
153b67cb875e
hex21ad014a30

144636463664 has 240 divisors, whose sum is σ = 370272015360. Its totient is φ = 53164200960.

The previous prime is 144636463639. The next prime is 144636463667. The reversal of 144636463664 is 466364636441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144636463667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139206857 + ... + 139207895.

It is an arithmetic number, because the mean of its divisors is an integer number (1542800064).

Almost surely, 2144636463664 is an apocalyptic number.

144636463664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144636463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185136007680).

144636463664 is an abundant number, since it is smaller than the sum of its proper divisors (225635551696).

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

144636463664 is a wasteful number, since it uses less digits than its factorization.

144636463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1391 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 53.

The spelling of 144636463664 in words is "one hundred forty-four billion, six hundred thirty-six million, four hundred sixty-three thousand, six hundred sixty-four".