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1244440431440 = 24517915029729
BaseRepresentation
bin10010000110111110011…
…011100000101101010000
311101222010012012221021122
4102012332123200231100
5130342103222301230
62351404341141412
7155623252065053
oct22067633405520
94358105187248
101244440431440
1143a8451a9a88
121812206ba868
13904725b829b
1444334736a9a
1522586445be5
hex121be6e0b50

1244440431440 has 40 divisors (see below), whose sum is σ = 3063519536040. Its totient is φ = 468495220736.

The previous prime is 1244440431397. The next prime is 1244440431499. The reversal of 1244440431440 is 441340444421.

It can be written as a sum of positive squares in 4 ways, for example, as 530117960464 + 714322470976 = 728092^2 + 845176^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1244440431440.

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 7 ways as a sum of consecutive naturals, for example, 457513505 + ... + 457516224.

It is an arithmetic number, because the mean of its divisors is an integer number (76587988401).

Almost surely, 21244440431440 is an apocalyptic number.

1244440431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244440431440 is an abundant number, since it is smaller than the sum of its proper divisors (1819079104600).

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

1244440431440 is a wasteful number, since it uses less digits than its factorization.

1244440431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915029759 (or 915029753 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 1244440431440 its reverse (441340444421), we get a palindrome (1685780875861).

The spelling of 1244440431440 in words is "one trillion, two hundred forty-four billion, four hundred forty million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 915029729 1830059458 3660118916 4575148645 7320237832 9150297290 14640475664 15555505393 18300594580 31111010786 36601189160 62222021572 73202378320 77777526965 124444043144 155555053930 248888086288 311110107860 622220215720 1244440431440