Search a number
-
+
401131214341 = 11134189366959
BaseRepresentation
bin1011101011001010100…
…10001001011000000101
31102100101112011000100021
411311211102021120011
523033004042324331
6504135510015141
740660256031004
oct5654522113005
91370345130307
10401131214341
11145134127490
12658aa0474b1
132ba98aca940
14155b4508c3b
15a67ad98211
hex5d65489605

401131214341 has 16 divisors (see below), whose sum is σ = 471277336320. Its totient is φ = 336600544320.

The previous prime is 401131214303. The next prime is 401131214369. The reversal of 401131214341 is 143412131104.

It is a cyclic number.

It is not a de Polignac number, because 401131214341 - 213 = 401131206149 is a prime.

It is a super-2 number, since 2×4011312143412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401131214371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5957220 + ... + 6024178.

It is an arithmetic number, because the mean of its divisors is an integer number (29454833520).

Almost surely, 2401131214341 is an apocalyptic number.

It is an amenable number.

401131214341 is a deficient number, since it is larger than the sum of its proper divisors (70146121979).

401131214341 is a wasteful number, since it uses less digits than its factorization.

401131214341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108876.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 401131214341 its reverse (143412131104), we get a palindrome (544543345445).

The spelling of 401131214341 in words is "four hundred one billion, one hundred thirty-one million, two hundred fourteen thousand, three hundred forty-one".

Divisors: 1 11 13 143 41893 66959 460823 544609 736549 870467 5990699 9575137 2805113387 30856247257 36466474031 401131214341