Search a number
-
+
144626196 = 2231113271311
BaseRepresentation
bin10001001111011…
…01001000010100
3101002010202211210
420213231020110
5244011014241
622203501420
73404205501
oct1047551024
9332122753
10144626196
1174701890
1240527870
1323c69c40
14152ca4a8
15ca6c316
hex89ed214

144626196 has 96 divisors (see below), whose sum is σ = 399200256. Its totient is φ = 40176000.

The previous prime is 144626173. The next prime is 144626201. The reversal of 144626196 is 691626441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464881 + ... + 465191.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 2144626196 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 144626196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600128).

144626196 is an abundant number, since it is smaller than the sum of its proper divisors (254574060).

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

144626196 is a wasteful number, since it uses less digits than its factorization.

144626196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 144626196 is about 12026.0631962417. The cubic root of 144626196 is about 524.9069476805.

The spelling of 144626196 in words is "one hundred forty-four million, six hundred twenty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 271 286 311 429 542 572 622 813 858 933 1084 1244 1626 1716 1866 2981 3252 3421 3523 3732 4043 5962 6842 7046 8086 8943 10263 10569 11924 12129 13684 14092 16172 17886 20526 21138 24258 35772 38753 41052 42276 44473 48516 77506 84281 88946 116259 133419 155012 168562 177892 232518 252843 266838 337124 465036 505686 533676 927091 1011372 1095653 1854182 2191306 2781273 3286959 3708364 4382612 5562546 6573918 11125092 12052183 13147836 24104366 36156549 48208732 72313098 144626196