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144303103103312 = 2429266617160981
BaseRepresentation
bin100000110011111000101111…
…001100110101000101010000
3200220221020112100220020202202
4200303320233030311011100
5122403230223343301222
61230523532544302332
742252361263126146
oct4063705714650520
9626836470806682
10144303103103312
1141a856698005aa
1214226aa93119a8
1362699551ab42a
14278c443933596
1511a39c52b3892
hex833e2f335150

144303103103312 has 60 divisors (see below), whose sum is σ = 289566793950876. Its totient is φ = 69662088545280.

The previous prime is 144303103103311. The next prime is 144303103103321. The reversal of 144303103103312 is 213301301303441.

It can be written as a sum of positive squares in 6 ways, for example, as 5343235663936 + 138959867439376 = 2311544^2 + 11788124^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144303103103311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 896317862 + ... + 896478842.

Almost surely, 2144303103103312 is an apocalyptic number.

It is an amenable number.

144303103103312 is an abundant number, since it is smaller than the sum of its proper divisors (145263690847564).

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

144303103103312 is a wasteful number, since it uses less digits than its factorization.

144303103103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227664 (or 227629 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 144303103103312 its reverse (213301301303441), we get a palindrome (357604404406753).

The spelling of 144303103103312 in words is "one hundred forty-four trillion, three hundred three billion, one hundred three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 66617 133234 160981 266468 321962 532936 643924 1065872 1287848 1931893 2575696 3863786 4668449 7727572 9336898 15455144 18673796 30910288 37347592 56024897 74695184 112049794 135385021 224099588 270770042 448199176 541540084 896398352 1083080168 2166160336 10724071277 21448142554 42896285108 85792570216 171585140432 310998067033 621996134066 1243992268132 2487984536264 4975969072528 9018943943957 18037887887914 36075775775828 72151551551656 144303103103312