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1344523342151 = 111927197211233
BaseRepresentation
bin10011100100001011110…
…101100001000101000111
311202112110010212120122102
4103210023311201011013
5134012040433422101
62505355425222315
7166065353561543
oct23441365410507
94675403776572
101344523342151
11479233414130
121986b219199b
1399a32336c02
144910a7baa23
1524e92aab86b
hex1390bd61147

1344523342151 has 96 divisors (see below), whose sum is σ = 1600355667456. Its totient is φ = 1119702528000.

The previous prime is 1344523342139. The next prime is 1344523342177. The reversal of 1344523342151 is 1512433254431.

It is not a de Polignac number, because 1344523342151 - 214 = 1344523325767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344523342111) 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 95 ways as a sum of consecutive naturals, for example, 5770486331 + ... + 5770486563.

It is an arithmetic number, because the mean of its divisors is an integer number (16670371536).

Almost surely, 21344523342151 is an apocalyptic number.

1344523342151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1344523342151 is a deficient number, since it is larger than the sum of its proper divisors (255832325305).

1344523342151 is a wasteful number, since it uses less digits than its factorization.

1344523342151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 642 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

Adding to 1344523342151 its reverse (1512433254431), we get a palindrome (2856956596582).

The spelling of 1344523342151 in words is "one trillion, three hundred forty-four billion, five hundred twenty-three million, three hundred forty-two thousand, one hundred fifty-one".

Divisors: 1 11 19 71 97 209 211 233 361 781 1067 1349 1843 2321 2563 3971 4009 4427 6887 14839 14981 16543 20273 20467 22601 25631 35017 44099 48697 49163 75757 76171 84113 130853 164791 181973 225137 248611 281941 284639 314317 385187 388873 429419 540793 837881 925243 934097 1439383 1453157 1604671 2486207 3131029 3457487 3490573 4277603 4723609 4768811 5408141 5972023 7388587 8158961 10275067 15984727 17651381 17747843 27348277 27609983 30488749 38396303 52456921 59489551 65692253 66320887 81274457 89748571 90607409 195226273 303709813 335376239 338585581 524589677 579286231 729529757 996681499 1260096853 1721540771 3724441391 5770486447 6372148541 6433126039 13861065383 18936948481 70764386429 122229394741 1344523342151