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144446380 = 225132112633
BaseRepresentation
bin10001001110000…
…01001110101100
3101001210122011221
420213001032230
5243434241010
622155553124
73402526321
oct1047011654
9331718157
10144446380
1174599781
124045b7a4
1323c06140
1415280b48
15ca33dda
hex89c13ac

144446380 has 48 divisors (see below), whose sum is σ = 328343904. Its totient is φ = 53061120.

The previous prime is 144446327. The next prime is 144446387. The reversal of 144446380 is 83644441.

It is not an unprimeable number, because it can be changed into a prime (144446387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53544 + ... + 56176.

It is an arithmetic number, because the mean of its divisors is an integer number (6840498).

Almost surely, 2144446380 is an apocalyptic number.

144446380 is a gapful number since it is divisible by the number (10) 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 144446380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164171952).

144446380 is an abundant number, since it is smaller than the sum of its proper divisors (183897524).

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

144446380 is a wasteful number, since it uses less digits than its factorization.

144446380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 144446380 is about 12018.5847752554. The cubic root of 144446380 is about 524.6893158018.

The spelling of 144446380 in words is "one hundred forty-four million, four hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 211 260 422 844 1055 2110 2633 2743 4220 5266 5486 10532 10972 13165 13715 26330 27430 34229 52660 54860 68458 136916 171145 342290 555563 684580 1111126 2222252 2777815 5555630 7222319 11111260 14444638 28889276 36111595 72223190 144446380