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1220424440144 = 24713838203599
BaseRepresentation
bin10001110000100110111…
…101110001100101010000
311022200010110220011122112
4101300212331301211100
5124443412124041034
62332353311124452
7154113153402530
oct21604675614520
94280113804575
101220424440144
11430640864298
12178639813728
138b115bb0350
14430d6d374c0
1521b2cd467ce
hex11c26f71950

1220424440144 has 40 divisors (see below), whose sum is σ = 2910242899200. Its totient is φ = 482805272448.

The previous prime is 1220424440141. The next prime is 1220424440153. The reversal of 1220424440144 is 4410444240221.

It is a self number, because there is not a number n which added to its sum of digits gives 1220424440144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220424440141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419100344 + ... + 419103255.

It is an arithmetic number, because the mean of its divisors is an integer number (72756072480).

Almost surely, 21220424440144 is an apocalyptic number.

1220424440144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1220424440144 is an abundant number, since it is smaller than the sum of its proper divisors (1689818459056).

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

1220424440144 is a wasteful number, since it uses less digits than its factorization.

1220424440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838203627 (or 838203621 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1220424440144 its reverse (4410444240221), we get a palindrome (5630868680365).

The spelling of 1220424440144 in words is "one trillion, two hundred twenty billion, four hundred twenty-four million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 838203599 1676407198 3352814396 5867425193 6705628792 10896646787 11734850386 13411257584 21793293574 23469700772 43586587148 46939401544 76276527509 87173174296 93878803088 152553055018 174346348592 305106110036 610212220072 1220424440144