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144806337852 = 223111318374181
BaseRepresentation
bin1000011011011100100…
…0010101110100111100
3111211202210200010210020
42012313020111310330
54333030410302402
6150304554212140
713314302364051
oct2066710256474
9454683603706
10144806337852
1156459447990
1224093424050
13108695752a7
147019abb028
153b77b718bc
hex21b7215d3c

144806337852 has 48 divisors (see below), whose sum is σ = 371411720064. Its totient is φ = 43545736000.

The previous prime is 144806337833. The next prime is 144806337877. The reversal of 144806337852 is 258733608441.

It is a happy number.

144806337852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144806337795 and 144806337804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4169799 + ... + 4204382.

It is an arithmetic number, because the mean of its divisors is an integer number (7737744168).

Almost surely, 2144806337852 is an apocalyptic number.

144806337852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144806337852 is an abundant number, since it is smaller than the sum of its proper divisors (226605382212).

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

144806337852 is a wasteful number, since it uses less digits than its factorization.

144806337852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374330 (or 8374328 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 144806337852 in words is "one hundred forty-four billion, eight hundred six million, three hundred thirty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 8646 17292 8374181 16748362 25122543 33496724 50245086 92115991 100490172 184231982 276347973 368463964 552695946 1097017711 1105391892 2194035422 3291053133 4388070844 6582106266 12067194821 13164212532 24134389642 36201584463 48268779284 72403168926 144806337852