Search a number
-
+
144473616 = 24327178431
BaseRepresentation
bin10001001110001…
…11111000010000
3101001212000112200
420213013320100
5243441123431
622200323200
73403001610
oct1047077020
9331760480
10144473616
1174608191
1240473500
1323c15661
141528aa40
15ca3bee6
hex89c7e10

144473616 has 120 divisors (see below), whose sum is σ = 489325824. Its totient is φ = 38845440.

The previous prime is 144473591. The next prime is 144473617. The reversal of 144473616 is 616374441.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144473617) 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, 12921 + ... + 21351.

Almost surely, 2144473616 is an apocalyptic number.

144473616 is a gapful number since it is divisible by the number (16) 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 144473616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244662912).

144473616 is an abundant number, since it is smaller than the sum of its proper divisors (344852208).

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

144473616 is a wasteful number, since it uses less digits than its factorization.

144473616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469 (or 8460 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144473616 is about 12019.7178003479. The cubic root of 144473616 is about 524.7222912218.

The spelling of 144473616 in words is "one hundred forty-four million, four hundred seventy-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8431 8568 16862 17136 25293 33724 50586 59017 67448 75879 101172 118034 134896 143327 151758 177051 202344 236068 286654 303516 354102 404688 429981 472136 531153 573308 607032 708204 859962 944272 1003289 1062306 1146616 1214064 1289943 1416408 1719924 2006578 2124612 2293232 2579886 2832816 3009867 3439848 4013156 4249224 5159772 6019734 6879696 8026312 8498448 9029601 10319544 12039468 16052624 18059202 20639088 24078936 36118404 48157872 72236808 144473616