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144261026440 = 2358317433633
BaseRepresentation
bin1000011001011010100…
…0001001001010001000
3111210100210120110011021
42012112220021022020
54330421310321230
6150134514242224
713264631330626
oct2062650111210
9453323513137
10144261026440
11561a96523a3
1223b60886374
13107b05b6c0b
146da74cc516
153b44d57c7a
hex2196a09288

144261026440 has 32 divisors (see below), whose sum is σ = 324627085080. Its totient is φ = 57697339392.

The previous prime is 144261026369. The next prime is 144261026467. The reversal of 144261026440 is 44620162441.

It can be written as a sum of positive squares in 4 ways, for example, as 115870798404 + 28390228036 = 340398^2 + 168494^2 .

It is a super-2 number, since 2×1442610264402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144261026396 and 144261026405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115864 + ... + 549496.

Almost surely, 2144261026440 is an apocalyptic number.

144261026440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144261026440 is an abundant number, since it is smaller than the sum of its proper divisors (180366058640).

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

144261026440 is a wasteful number, since it uses less digits than its factorization.

144261026440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441961 (or 441957 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 144261026440 its reverse (44620162441), we get a palindrome (188881188881).

The spelling of 144261026440 in words is "one hundred forty-four billion, two hundred sixty-one million, twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 8317 16634 33268 41585 66536 83170 166340 332680 433633 867266 1734532 2168165 3469064 4336330 8672660 17345320 3606525661 7213051322 14426102644 18032628305 28852205288 36065256610 72130513220 144261026440