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1361223050445 = 345101316910501
BaseRepresentation
bin10011110011101111001…
…101110110010011001101
311211010112222022122210000
4103303233031312103031
5134300241100103240
62521200502034513
7200226243006666
oct23635715662315
94733488278700
101361223050445
11485322a1a145
1219b992a18a39
139b4940597cb
1449c5264c36d
152561dc18430
hex13cef3764cd

1361223050445 has 80 divisors (see below), whose sum is σ = 2465290309680. Its totient is φ = 718502400000.

The previous prime is 1361223050339. The next prime is 1361223050459. The reversal of 1361223050445 is 5440503221631.

1361223050445 is a `hidden beast` number, since 1 + 3 + 61 + 22 + 30 + 504 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 114380592804 + 1246842457641 = 338202^2 + 1116621^2 .

It is not a de Polignac number, because 1361223050445 - 29 = 1361223049933 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129622695 + ... + 129633195.

It is an arithmetic number, because the mean of its divisors is an integer number (30816128871).

Almost surely, 21361223050445 is an apocalyptic number.

1361223050445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361223050445 is a deficient number, since it is larger than the sum of its proper divisors (1104067259235).

1361223050445 is a wasteful number, since it uses less digits than its factorization.

1361223050445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13788 (or 13779 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1361223050445 in words is "one trillion, three hundred sixty-one billion, two hundred twenty-three million, fifty thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 101 135 303 405 505 909 1515 2727 3169 4545 8181 9507 10501 13635 15845 28521 31503 40905 47535 52505 85563 94509 142605 157515 256689 283527 320069 427815 472545 850581 960207 1060601 1283445 1417635 1600345 2880621 3181803 4252905 4801035 5303005 8641863 9545409 14403105 15909015 25925589 28636227 33277669 43209315 47727045 85908681 99833007 129627945 143181135 166388345 299499021 429543405 499165035 898497063 1497495105 2695491189 3361044569 4492485315 10083133707 13477455945 16805222845 30249401121 50415668535 90748203363 151247005605 272244610089 453741016815 1361223050445