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1344563159810 = 2513294137323321
BaseRepresentation
bin10011100100001110001…
…101011010001100000010
311202112112220210112012112
4103210032031122030002
5134012131132103220
62505403410455322
7166066346200163
oct23441615321402
94675486715175
101344563159810
1147925393a792
12198703594542
1399a3a668760
1449111bc376a
1524e963245c5
hex1390e35a302

1344563159810 has 128 divisors (see below), whose sum is σ = 2769545338560. Its totient is φ = 466370150400.

The previous prime is 1344563159789. The next prime is 1344563159831. The reversal of 1344563159810 is 189513654431.

It is a Cunningham number, because it is equal to 11595532+1.

It is an interprime number because it is at equal distance from previous prime (1344563159789) and next prime (1344563159831).

It can be written as a sum of positive squares in 32 ways, for example, as 346564157809 + 997999002001 = 588697^2 + 998999^2 .

It is a super-2 number, since 2×13445631598102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 57642950 + ... + 57666270.

Almost surely, 21344563159810 is an apocalyptic number.

1344563159810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1344563159810 is an abundant number, since it is smaller than the sum of its proper divisors (1424982178750).

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

1344563159810 is a wasteful number, since it uses less digits than its factorization.

1344563159810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23784.

The product of its (nonzero) digits is 1555200, while the sum is 50.

The spelling of 1344563159810 in words is "one trillion, three hundred forty-four billion, five hundred sixty-three million, one hundred fifty-nine thousand, eight hundred ten".

Divisors: 1 2 5 10 13 26 29 41 58 65 82 130 145 205 290 373 377 410 533 746 754 1066 1189 1865 1885 2378 2665 3730 3770 4849 5330 5945 9698 10817 11890 15293 15457 21634 23321 24245 30586 30914 46642 48490 54085 76465 77285 108170 116605 140621 152930 154570 198809 233210 281242 303173 397618 443497 606346 676309 703105 886994 956161 994045 1352618 1406210 1515865 1912322 1988090 2217485 3031730 3381545 4434970 4780805 5765461 6763090 8698733 8792017 9561610 11530922 12430093 17397466 17584034 24860186 27728669 28827305 43493665 43960085 55457338 57654610 62150465 86987330 87920170 113083529 124300930 138643345 226167058 252263257 277286690 356648053 360472697 504526514 565417645 713296106 720945394 1130835290 1261316285 1783240265 1802363485 2522632570 3279422341 3566480530 3604726970 4636424689 6558844682 9272849378 10342793537 16397111705 20685587074 23182123445 32794223410 46364246890 51713967685 103427935370 134456315981 268912631962 672281579905 1344563159810