Search a number
-
+
141342401013 = 311291014393331
BaseRepresentation
bin1000001110100010101…
…0011110000111110101
3111111211101122220202020
42003220222132013311
54303432123313023
6144533134103353
713132411404612
oct2035052360765
9444741586666
10141342401013
1154a41111970
122348734ab59
1310436a24618
146baba29509
153a239d9de3
hex20e8a9e1f5

141342401013 has 64 divisors (see below), whose sum is σ = 215337830400. Its totient is φ = 81678240000.

The previous prime is 141342400999. The next prime is 141342401017. The reversal of 141342401013 is 310104243141.

141342401013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141342401013 - 25 = 141342400981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141342401017) 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 63 ways as a sum of consecutive naturals, for example, 42430758 + ... + 42434088.

It is an arithmetic number, because the mean of its divisors is an integer number (3364653600).

Almost surely, 2141342401013 is an apocalyptic number.

It is an amenable number.

141342401013 is a deficient number, since it is larger than the sum of its proper divisors (73995429387).

141342401013 is a wasteful number, since it uses less digits than its factorization.

141342401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 141342401013 its reverse (310104243141), we get a palindrome (451446644154).

The spelling of 141342401013 in words is "one hundred forty-one billion, three hundred forty-two million, four hundred one thousand, thirteen".

Divisors: 1 3 11 29 33 87 101 303 319 439 957 1111 1317 2929 3331 3333 4829 8787 9993 12731 14487 32219 36641 38193 44339 96599 96657 109923 133017 140041 289797 336431 420123 487729 1009293 1062589 1285831 1462309 1463187 3187767 3700741 3857493 4386927 9756499 11102223 14144141 16085399 29269497 42406961 42432423 48256197 107321489 127220883 147693209 321964467 443079627 466476571 1399429713 1624625299 4283103061 4873875897 12849309183 47114133671 141342401013