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144486738 = 23211977523
BaseRepresentation
bin10001001110010…
…11000101010010
3101001212200112200
420213023011102
5243442033423
622200504030
73403055064
oct1047130522
9331780480
10144486738
1174617030
124047b016
1323c1b616
1415291734
15ca40d43
hex89cb152

144486738 has 48 divisors (see below), whose sum is σ = 345080736. Its totient is φ = 43326720.

The previous prime is 144486737. The next prime is 144486763. The reversal of 144486738 is 837684441.

It is a junction number, because it is equal to n+sod(n) for n = 144486693 and 144486702.

It is not an unprimeable number, because it can be changed into a prime (144486731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15445 + ... + 22967.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2144486738 is an apocalyptic number.

144486738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144486738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172540368).

144486738 is an abundant number, since it is smaller than the sum of its proper divisors (200593998).

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

144486738 is a wasteful number, since it uses less digits than its factorization.

144486738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7636 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 144486738 is about 12020.2636410355. The cubic root of 144486738 is about 524.7381769308.

The spelling of 144486738 in words is "one hundred forty-four million, four hundred eighty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 2134 3201 6402 7523 9603 15046 19206 22569 45138 67707 82753 135414 165506 248259 496518 729731 744777 1459462 1489554 2189193 4378386 6567579 8027041 13135158 16054082 24081123 48162246 72243369 144486738