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144955332 = 22351947167
BaseRepresentation
bin10001010001111…
…01011111000100
3101002202111100000
420220331133010
5244102032312
622214521300
73410046204
oct1050753704
9332674300
10144955332
11749070a5
1240666230
13240539b2
1415374404
15cad4adc
hex8a3d7c4

144955332 has 144 divisors (see below), whose sum is σ = 410941440. Its totient is φ = 44533152.

The previous prime is 144955303. The next prime is 144955339. The reversal of 144955332 is 233559441.

144955332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144955339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867913 + ... + 868079.

It is an arithmetic number, because the mean of its divisors is an integer number (2853760).

Almost surely, 2144955332 is an apocalyptic number.

144955332 is a gapful number since it is divisible by the number (12) 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 144955332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

144955332 is an abundant number, since it is smaller than the sum of its proper divisors (265986108).

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

144955332 is a wasteful number, since it uses less digits than its factorization.

144955332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 144955332 is about 12039.7396981828. The cubic root of 144955332 is about 525.3048352116.

The spelling of 144955332 in words is "one hundred forty-four million, nine hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 47 54 57 76 81 94 108 114 141 162 167 171 188 228 243 282 324 334 342 423 486 501 513 564 668 684 846 893 972 1002 1026 1269 1503 1539 1692 1786 2004 2052 2538 2679 3006 3078 3173 3572 3807 4509 4617 5076 5358 6012 6156 6346 7614 7849 8037 9018 9234 9519 10716 11421 12692 13527 15228 15698 16074 18036 18468 19038 22842 23547 24111 27054 28557 31396 32148 38076 40581 45684 47094 48222 54108 57114 70641 72333 81162 85671 94188 96444 114228 141282 144666 149131 162324 171342 211923 216999 257013 282564 289332 298262 342684 423846 433998 447393 514026 596524 635769 771039 847692 867996 894786 1028052 1271538 1342179 1542078 1789572 1907307 2543076 2684358 3084156 3814614 4026537 5368716 7629228 8053074 12079611 16106148 24159222 36238833 48318444 72477666 144955332