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13761401481 = 32391032
BaseRepresentation
bin11001101000011111…
…00101001010001001
31022112001111121221100
430310033211022021
5211140404321411
610153310332013
7665006661012
oct146417451211
938461447840
1013761401481
115921a52683
1228007ba009
1313b405bc19
14947928009
15558202456
hex3343e5289

13761401481 has 9 divisors (see below), whose sum is σ = 19878088269. Its totient is φ = 9174033036.

The previous prime is 13761401473. The next prime is 13761401501. The reversal of 13761401481 is 18410416731.

The square root of 13761401481 is 117309.

It is a perfect power (a square), and thus also a powerful number.

13761401481 is a `hidden beast` number, since 1 + 37 + 6 + 140 + 1 + 481 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13761401481 - 23 = 13761401473 is a prime.

It is a super-3 number, since 3×137614014813 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13761406481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 332376 + ... + 371478.

Almost surely, 213761401481 is an apocalyptic number.

13761401481 is the 117309-th square number.

13761401481 is the 58655-th centered octagonal number.

It is an amenable number.

13761401481 is a deficient number, since it is larger than the sum of its proper divisors (6116686788).

13761401481 is an frugal number, since it uses more digits than its factorization.

13761401481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78212 (or 39106 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 13761401481 by its sum of digits (36), we get a square (495410453316 = 7038542).

The spelling of 13761401481 in words is "thirteen billion, seven hundred sixty-one million, four hundred one thousand, four hundred eighty-one".

Divisors: 1 3 9 39103 117309 351927 1529044609 4587133827 13761401481