Search a number
-
+
2140431403131 = 3478234586891
BaseRepresentation
bin11111001001011011101…
…001110100100001111011
321120121211100022021120000
4133021123221310201323
5240032100414400011
64315144533204043
7310432612510320
oct37113351644173
97517740267500
102140431403131
1175582a7a953a
122a69b6190623
13126ac3611498
14758514d8b47
153aa26a17356
hex1f25ba7487b

2140431403131 has 40 divisors (see below), whose sum is σ = 3658651839744. Its totient is φ = 1221617239920.

The previous prime is 2140431403073. The next prime is 2140431403157. The reversal of 2140431403131 is 1313041340412.

2140431403131 is a `hidden beast` number, since 21 + 40 + 431 + 40 + 3 + 131 = 666.

It is not a de Polignac number, because 2140431403131 - 29 = 2140431402619 is a prime.

It is a super-2 number, since 2×21404314031312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2140431403095 and 2140431403104.

It is not an unprimeable number, because it can be changed into a prime (2140431403531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1826805 + ... + 2760086.

Almost surely, 22140431403131 is an apocalyptic number.

2140431403131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2140431403131 is a deficient number, since it is larger than the sum of its proper divisors (1518220436613).

2140431403131 is an equidigital number, since it uses as much as digits as its factorization.

2140431403131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587733 (or 4587724 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2140431403131 its reverse (1313041340412), we get a palindrome (3453472743543).

The spelling of 2140431403131 in words is "two trillion, one hundred forty billion, four hundred thirty-one million, four hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 823 2469 5761 7407 17283 22221 51849 66663 155547 466641 4586891 13760673 32108237 41282019 96324711 123846057 288974133 371538171 866922399 2600767197 3775011293 11325033879 26425079051 33975101637 79275237153 101925304911 237825711459 305775914733 713477134377 2140431403131