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144110342312240 = 24511829715227599
BaseRepresentation
bin100000110001000101001101…
…110000110001000100110000
3200220020210222112110111000112
4200301011031300301010300
5122342100440112442430
61230255213255440452
742232425424340423
oct4061051560610460
9626223875414015
10144110342312240
1141a109423171a7
12141b5672086128
1362547158c9c45
142782d990799ba
15119d99265a195
hex83114dc31130

144110342312240 has 40 divisors (see below), whose sum is σ = 335059400212800. Its totient is φ = 57643645856256.

The previous prime is 144110342312179. The next prime is 144110342312273. The reversal of 144110342312240 is 42213243011441.

144110342312240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1441103423122402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144110342312197 and 144110342312206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1849961 + ... + 17077559.

It is an arithmetic number, because the mean of its divisors is an integer number (8376485005320).

Almost surely, 2144110342312240 is an apocalyptic number.

144110342312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144110342312240 is an abundant number, since it is smaller than the sum of its proper divisors (190949057900560).

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

144110342312240 is a wasteful number, since it uses less digits than its factorization.

144110342312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15345909 (or 15345903 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144110342312240 its reverse (42213243011441), we get a palindrome (186323585323681).

The spelling of 144110342312240 in words is "one hundred forty-four trillion, one hundred ten billion, three hundred forty-two million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 118297 236594 473188 591485 946376 1182970 1892752 2365940 4731880 9463760 15227599 30455198 60910396 76137995 121820792 152275990 243641584 304551980 609103960 1218207920 1801379278903 3602758557806 7205517115612 9006896394515 14411034231224 18013792789030 28822068462448 36027585578060 72055171156120 144110342312240