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1213442254304 = 25741163810587
BaseRepresentation
bin10001101010000110110…
…010110110010111100000
311022000002212200101021222
4101222012302312113200
5124340112204114204
62325240410434212
7153445141656560
oct21520662662740
94260085611258
101213442254304
11428688577775
1217720b432968
138a5724a3937
1442a338d6da0
152186ed9aabe
hex11a86cb65e0

1213442254304 has 96 divisors (see below), whose sum is σ = 2813998392576. Its totient is φ = 504249338880.

The previous prime is 1213442254289. The next prime is 1213442254379. The reversal of 1213442254304 is 4034522443121.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1091699 + ... + 1902285.

It is an arithmetic number, because the mean of its divisors is an integer number (29312483256).

Almost surely, 21213442254304 is an apocalyptic number.

1213442254304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213442254304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406999196288).

1213442254304 is an abundant number, since it is smaller than the sum of its proper divisors (1600556138272).

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

1213442254304 is a wasteful number, since it uses less digits than its factorization.

1213442254304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810808 (or 810800 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 1213442254304 its reverse (4034522443121), we get a palindrome (5247964697425).

The spelling of 1213442254304 in words is "one trillion, two hundred thirteen billion, four hundred forty-two million, two hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 163 164 224 287 326 328 574 652 656 1141 1148 1304 1312 2282 2296 2608 4564 4592 5216 6683 9128 9184 13366 18256 26732 36512 46781 53464 93562 106928 187124 213856 374248 748496 810587 1496992 1621174 3242348 5674109 6484696 11348218 12969392 22696436 25938784 33234067 45392872 66468134 90785744 132125681 132936268 181571488 232638469 264251362 265872536 465276938 528502724 531745072 924879767 930553876 1057005448 1063490144 1849759534 1861107752 2114010896 3699519068 3722215504 4228021792 5417152921 7399038136 7444431008 10834305842 14798076272 21668611684 29596152544 37920070447 43337223368 75840140894 86674446736 151680281788 173348893472 303360563576 606721127152 1213442254304