Search a number
-
+
135544554033141 = 31117317793948251
BaseRepresentation
bin11110110100011011101100…
…111111101000111111110101
3122202220221012000121111222010
4132310123230333220333311
5120231230221313030031
61200140150345154433
740356525256320531
oct3664335477507765
9582827160544863
10135544554033141
113a209139126780
1213251538a8ba19
135a82a48191326
14256856a0a8bc1
1510a0c590e8246
hex7b46ecfe8ff5

135544554033141 has 32 divisors (see below), whose sum is σ = 215487081271296. Its totient is φ = 74821903200000.

The previous prime is 135544554033131. The next prime is 135544554033191. The reversal of 135544554033141 is 141330455445531.

It is not a de Polignac number, because 135544554033141 - 210 = 135544554032117 is a prime.

It is a super-2 number, since 2×1355445540331412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135544554033121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3896956735 + ... + 3896991516.

It is an arithmetic number, because the mean of its divisors is an integer number (6733971289728).

Almost surely, 2135544554033141 is an apocalyptic number.

135544554033141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135544554033141 is a deficient number, since it is larger than the sum of its proper divisors (79942527238155).

135544554033141 is a wasteful number, since it uses less digits than its factorization.

135544554033141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793948313.

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 135544554033141 in words is "one hundred thirty-five trillion, five hundred forty-four billion, five hundred fifty-four million, thirty-three thousand, one hundred forty-one".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 1023 1581 5797 17391 7793948251 23381844753 85733430761 132497120267 241612395781 257200292283 397491360801 724837187343 1457468322937 2657736353591 4107410728277 4372404968811 7973209060773 12322232184831 45181518011047 135544554033141