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400141313 = 112131272003
BaseRepresentation
bin10111110110011…
…010110000000001
31000212221021200122
4113312122300001
51304414010223
6103412230025
712626100515
oct2766326001
91025837618
10400141313
11195962100
12b200b315
1364b90a10
143b200145
15251e05c8
hex17d9ac01

400141313 has 24 divisors (see below), whose sum is σ = 477625344. Its totient is φ = 332972640.

The previous prime is 400141307. The next prime is 400141337. The reversal of 400141313 is 313141004.

It is not a de Polignac number, because 400141313 - 24 = 400141297 is a prime.

It is a super-2 number, since 2×4001413132 = 320226140738727938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400141291 and 400141300.

It is not an unprimeable number, because it can be changed into a prime (400141213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198770 + ... + 200772.

It is an arithmetic number, because the mean of its divisors is an integer number (19901056).

Almost surely, 2400141313 is an apocalyptic number.

It is an amenable number.

400141313 is a deficient number, since it is larger than the sum of its proper divisors (77484031).

400141313 is a wasteful number, since it uses less digits than its factorization.

400141313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 400141313 is about 20003.5325130338. The cubic root of 400141313 is about 736.8930564362.

Adding to 400141313 its reverse (313141004), we get a palindrome (713282317).

The spelling of 400141313 in words is "four hundred million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 11 13 121 127 143 1397 1573 1651 2003 15367 18161 22033 26039 199771 242363 254381 286429 2798191 3150719 3306953 30780101 36376483 400141313