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13141505002045 = 573141942131357
BaseRepresentation
bin1011111100111011111010…
…1111001100101000111101
31201112022112002010102201011
42333032332233030220331
53210302300240031140
643541042443515221
72524304513310640
oct277167657145075
951468462112634
1013141505002045
11420730aa80182
121582ab3528b11
137443142a1364
143360a3499a57
1517bc9258ecea
hexbf3bebcca3d

13141505002045 has 64 divisors (see below), whose sum is σ = 19060397862912. Its totient is φ = 8506757376000.

The previous prime is 13141505002033. The next prime is 13141505002063. The reversal of 13141505002045 is 54020050514131.

It is not a de Polignac number, because 13141505002045 - 27 = 13141505001917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 13141505001998 and 13141505002016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419077507 + ... + 419108863.

It is an arithmetic number, because the mean of its divisors is an integer number (297818716608).

Almost surely, 213141505002045 is an apocalyptic number.

It is an amenable number.

13141505002045 is a deficient number, since it is larger than the sum of its proper divisors (5918892860867).

13141505002045 is a wasteful number, since it uses less digits than its factorization.

13141505002045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40862.

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 13141505002045 its reverse (54020050514131), we get a palindrome (67161555516176).

The spelling of 13141505002045 in words is "thirteen trillion, one hundred forty-one billion, five hundred five million, two thousand, forty-five".

Divisors: 1 5 7 31 35 41 155 205 217 287 1085 1271 1435 6355 8897 9421 31357 44485 47105 65947 156785 219499 292051 329735 386261 972067 1097495 1285637 1460255 1931305 2044357 2703827 4860335 6428185 6804469 8999459 10221785 11974091 13519135 34022345 39854747 44997295 59870455 83818637 199273735 278983229 295414297 419093185 1394916145 1477071485 2067900079 9157843207 10339500395 12111986177 45789216035 60559930885 64104902449 84783903239 320524512245 375471571487 423919516195 1877357857435 2628301000409 13141505002045