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431401111141 = 73111319462911
BaseRepresentation
bin1100100011100011000…
…00101000111001100101
31112020112002022002112011
412101301200220321211
524032002141024031
6530103302554221
743111343641000
oct6216140507145
91466462262464
10431401111141
11156a57753a20
126b737438971
13318b1080890
1416c4672c537
15b34d5366b1
hex6471828e65

431401111141 has 64 divisors (see below), whose sum is σ = 622153728000. Its totient is φ = 293966366400.

The previous prime is 431401111139. The next prime is 431401111157. The reversal of 431401111141 is 141111104134.

It is not a de Polignac number, because 431401111141 - 21 = 431401111139 is a prime.

It is a super-2 number, since 2×4314011111412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431401111121) 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 63 ways as a sum of consecutive naturals, for example, 700476 + ... + 1163386.

It is an arithmetic number, because the mean of its divisors is an integer number (9721152000).

Almost surely, 2431401111141 is an apocalyptic number.

It is an amenable number.

431401111141 is a deficient number, since it is larger than the sum of its proper divisors (190752616859).

431401111141 is a wasteful number, since it uses less digits than its factorization.

431401111141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462975 (or 462961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 431401111141 its reverse (141111104134), we get a palindrome (572512215275).

The spelling of 431401111141 in words is "four hundred thirty-one billion, four hundred one million, one hundred eleven thousand, one hundred forty-one".

Divisors: 1 7 11 13 19 49 77 91 133 143 209 247 343 539 637 931 1001 1463 1729 2717 3773 4459 6517 7007 10241 12103 19019 49049 71687 84721 133133 462911 931931 3240377 5092021 6017843 8795309 22682639 35644147 42124901 61567163 66196273 96748399 114339017 158778473 249509029 294874307 430970141 463373911 677238793 800373119 1257729187 1746563203 2064120149 3016790987 3243617377 4740671551 5602611833 8804104309 22705321639 33184700857 39218282831 61628730163 431401111141