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144241104134340 = 22325801339467413
BaseRepresentation
bin100000110010111110111111…
…110001100010000011000100
3200220201022111112220022002200
4200302332333301202003010
5122401221240124244330
61230435240511234500
742245035011442443
oct4062767761420304
9626638445808080
10144241104134340
1141a61343a20574
1214216a85b18a30
136263b54578285
1427894417b2d5a
1511a2097303a60
hex832fbfc620c4

144241104134340 has 36 divisors (see below), whose sum is σ = 437531349208044. Its totient is φ = 38464294435776.

The previous prime is 144241104134297. The next prime is 144241104134381. The reversal of 144241104134340 is 43431401142441.

144241104134340 is a `hidden beast` number, since 1 + 4 + 4 + 241 + 1 + 0 + 41 + 34 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78658025772096 + 65583078362244 = 8868936^2 + 8098338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1442411041343402 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 144241104134295 and 144241104134304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400669733527 + ... + 400669733886.

Almost surely, 2144241104134340 is an apocalyptic number.

144241104134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241104134340 is an abundant number, since it is smaller than the sum of its proper divisors (293290245073704).

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

144241104134340 is a wasteful number, since it uses less digits than its factorization.

144241104134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801339467428 (or 801339467423 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144241104134340 its reverse (43431401142441), we get a palindrome (187672505276781).

The spelling of 144241104134340 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred four million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 801339467413 1602678934826 2404018402239 3205357869652 4006697337065 4808036804478 7212055206717 8013394674130 9616073608956 12020092011195 14424110413434 16026789348260 24040184022390 28848220826868 36060276033585 48080368044780 72120552067170 144241104134340