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144010234231340 = 22553135858711539
BaseRepresentation
bin100000101111100111111110…
…110110101111101000101100
3200212220020120211110001122112
4200233213332312233220230
5122333430424430400330
61230141215512103152
742222252565602311
oct4057477666575054
9625806524401575
10144010234231340
1141982440980344
121419a194094ab8
1362481508a7809
14277c1bd922d08
15119b083bc1795
hex82f9fedafa2c

144010234231340 has 24 divisors (see below), whose sum is σ = 308127557772720. Its totient is φ = 56517223999808.

The previous prime is 144010234231313. The next prime is 144010234231349. The reversal of 144010234231340 is 43132432010441.

It is a super-2 number, since 2×1440102342313402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144010234231297 and 144010234231306.

It is not an unprimeable number, because it can be changed into a prime (144010234231349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67929354710 + ... + 67929356829.

It is an arithmetic number, because the mean of its divisors is an integer number (12838648240530).

Almost surely, 2144010234231340 is an apocalyptic number.

144010234231340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144010234231340 is an abundant number, since it is smaller than the sum of its proper divisors (164117323541380).

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

144010234231340 is a wasteful number, since it uses less digits than its factorization.

144010234231340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135858711601 (or 135858711599 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144010234231340 its reverse (43132432010441), we get a palindrome (187142666241781).

The spelling of 144010234231340 in words is "one hundred forty-four trillion, ten billion, two hundred thirty-four million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 135858711539 271717423078 543434846156 679293557695 1358587115390 2717174230780 7200511711567 14401023423134 28802046846268 36002558557835 72005117115670 144010234231340