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1444407518348 = 2219122926331391
BaseRepresentation
bin10101000001001101011…
…001011010010010001100
312010002021020120110111122
4111001031121122102030
5142131121311041343
63023315053540112
7206232523221404
oct25011531322214
95102236513448
101444407518348
1150762a430083
121b3b291a4638
13a628cb52552
144dca42cb804
152788ba68068
hex1504d65a48c

1444407518348 has 48 divisors (see below), whose sum is σ = 2561828290560. Its totient is φ = 712542955200.

The previous prime is 1444407518341. The next prime is 1444407518371. The reversal of 1444407518348 is 8438157044441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1444407518348.

It is not an unprimeable number, because it can be changed into a prime (1444407518341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45997733 + ... + 46029123.

It is an arithmetic number, because the mean of its divisors is an integer number (53371422720).

Almost surely, 21444407518348 is an apocalyptic number.

It is an amenable number.

1444407518348 is a deficient number, since it is larger than the sum of its proper divisors (1117420772212).

1444407518348 is a wasteful number, since it uses less digits than its factorization.

1444407518348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32078 (or 32076 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 53.

The spelling of 1444407518348 in words is "one trillion, four hundred forty-four billion, four hundred seven million, five hundred eighteen thousand, three hundred forty-eight".

Divisors: 1 2 4 191 229 263 382 458 526 764 916 1052 31391 43739 50233 60227 62782 87478 100466 120454 125564 174956 200932 240908 5995681 7188539 8255833 11503357 11991362 14377078 16511666 23006714 23982724 28754156 33023332 46013428 1373010949 1576864103 1890585757 2746021898 3153728206 3781171514 5492043796 6307456412 7562343028 361101879587 722203759174 1444407518348