Search a number
-
+
144803676 = 22323737187
BaseRepresentation
bin10001010000110…
…00011101011100
3101002110210022010
420220120131130
5244032204201
622211351220
73405545103
oct1050303534
9332423263
10144803676
1174813166
12405b2510
1323ccc964
141533503a
15caa4bd6
hex8a1875c

144803676 has 48 divisors (see below), whose sum is σ = 357444864. Its totient is φ = 45530496.

The previous prime is 144803669. The next prime is 144803707. The reversal of 144803676 is 676308441.

It is a super-2 number, since 2×1448036762 = 41936209166225952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16555 + ... + 23741.

It is an arithmetic number, because the mean of its divisors is an integer number (7446768).

Almost surely, 2144803676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144803676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178722432).

144803676 is an abundant number, since it is smaller than the sum of its proper divisors (212641188).

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

144803676 is a wasteful number, since it uses less digits than its factorization.

144803676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 144803676 is about 12033.4399071920. The cubic root of 144803676 is about 525.1215754724.

The spelling of 144803676 in words is "one hundred forty-four million, eight hundred three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 876 1679 3358 5037 6716 7187 10074 14374 20148 21561 28748 43122 86244 165301 330602 495903 524651 661204 991806 1049302 1573953 1983612 2098604 3147906 6295812 12066973 24133946 36200919 48267892 72401838 144803676