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13895061141 = 313372972683
BaseRepresentation
bin11001111000011010…
…11100111010010101
31022212101000020112010
430330031130322111
5211424113424031
610214443214433
71001222033223
oct147415347225
938771006463
1013895061141
115990444105
122839517419
131405959390
1495b59bb13
15564d05246
hex33c35ce95

13895061141 has 48 divisors (see below), whose sum is σ = 20724817344. Its totient is φ = 8230864896.

The previous prime is 13895061137. The next prime is 13895061179. The reversal of 13895061141 is 14116059831.

It is not a de Polignac number, because 13895061141 - 22 = 13895061137 is a prime.

It is a super-2 number, since 2×138950611412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13895061141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13895061641) 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 47 ways as a sum of consecutive naturals, for example, 5177586 + ... + 5180268.

It is an arithmetic number, because the mean of its divisors is an integer number (431767028).

Almost surely, 213895061141 is an apocalyptic number.

It is an amenable number.

13895061141 is a deficient number, since it is larger than the sum of its proper divisors (6829756203).

13895061141 is a wasteful number, since it uses less digits than its factorization.

13895061141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 13895061141 in words is "thirteen billion, eight hundred ninety-five million, sixty-one thousand, one hundred forty-one".

Divisors: 1 3 13 37 39 97 111 291 481 1261 1369 1443 2683 3589 3783 4107 8049 10767 17797 34879 46657 53391 99271 104637 132793 139971 260251 297813 398379 780753 1290523 1726309 3383263 3673027 3871569 5178927 9629287 10149789 11019081 28887861 47749351 125180731 143248053 356283619 375542193 1068850857 4631687047 13895061141