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1361351256441 = 3111743922872417
BaseRepresentation
bin10011110011110110110…
…110111010100101111001
311211010212220120012100020
4103303312312322211321
5134301021410201231
62521221322001053
7200232360516261
oct23636666724571
94733786505306
101361351256441
11485389326210
1219ba09946189
139b4b4797847
1449c656a27a1
152562a0e0396
hex13cf6dba979

1361351256441 has 64 divisors (see below), whose sum is σ = 2103191101440. Its totient is φ = 774100316160.

The previous prime is 1361351256389. The next prime is 1361351256443. The reversal of 1361351256441 is 1446521531631.

It is not a de Polignac number, because 1361351256441 - 219 = 1361350732153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1361351256393 and 1361351256402.

It is not an unprimeable number, because it can be changed into a prime (1361351256443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563238865 + ... + 563241281.

It is an arithmetic number, because the mean of its divisors is an integer number (32862360960).

Almost surely, 21361351256441 is an apocalyptic number.

1361351256441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1361351256441 is a deficient number, since it is larger than the sum of its proper divisors (741839844999).

1361351256441 is a wasteful number, since it uses less digits than its factorization.

1361351256441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174.

The product of its digits is 259200, while the sum is 42.

The spelling of 1361351256441 in words is "one trillion, three hundred sixty-one billion, three hundred fifty-one million, two hundred fifty-six thousand, four hundred forty-one".

Divisors: 1 3 11 17 33 51 187 439 561 1317 2287 2417 4829 6861 7251 7463 14487 22389 25157 26587 38879 41089 75471 79761 82093 116637 123267 246279 427669 451979 1003993 1061063 1283007 1355937 3011979 3183189 5527679 11043923 11671693 16583037 17067881 18038071 33131769 35015079 51203643 54114213 60804469 93970543 182413407 187746691 198418781 281911629 563240073 595256343 1033675973 2426651081 3101027919 7279953243 26693161891 41253068377 80079485673 123759205131 453783752147 1361351256441