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31413231414 = 232171072114547
BaseRepresentation
bin11101010000010111…
…111101111100110110
310000002020112111102100
4131100113331330312
51003313241401124
622233034322530
72161310030025
oct352027757466
9100066474370
1031413231414
111235aa4a784
126108289446
132c680c71c6
1417400028bc
15c3cc341c9
hex7505fdf36

31413231414 has 96 divisors (see below), whose sum is σ = 73099967616. Its totient is φ = 9714620160.

The previous prime is 31413231413. The next prime is 31413231497. The reversal of 31413231414 is 41413231413.

31413231414 is a `hidden beast` number, since 3 + 1 + 4 + 13 + 231 + 414 = 666.

It is a super-2 number, since 2×314132314142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31413231413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6906289 + ... + 6910835.

It is an arithmetic number, because the mean of its divisors is an integer number (761457996).

Almost surely, 231413231414 is an apocalyptic number.

31413231414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31413231414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36549983808).

31413231414 is an abundant number, since it is smaller than the sum of its proper divisors (41686736202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31413231414 is a wasteful number, since it uses less digits than its factorization.

31413231414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4887 counting only the distinct ones).

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

Adding to 31413231414 its reverse (41413231413), we get a palindrome (72826462827).

Subtracting 31413231414 from its reverse (41413231413), we obtain a palindrome (9999999999).

The spelling of 31413231414 in words is "thirty-one billion, four hundred thirteen million, two hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 211 214 306 321 422 633 642 963 1266 1819 1899 1926 3587 3638 3798 4547 5457 7174 9094 10761 10914 13641 16371 21522 22577 27282 32283 32742 40923 45154 64566 67731 77299 81846 135462 154598 203193 231897 383809 406386 463794 486529 695691 767618 959417 973058 1151427 1391382 1459587 1918834 2302854 2878251 2919174 3454281 4378761 5756502 6908562 8270993 8634753 8757522 16310089 16541986 17269506 24812979 32620178 48930267 49625958 74438937 97860534 102657619 146790801 148877874 205315238 293581602 307972857 615945714 923918571 1745179523 1847837142 3490359046 5235538569 10471077138 15706615707 31413231414