Search a number
-
+
31361181460 = 22571747491571
BaseRepresentation
bin11101001101010001…
…011010011100010100
32222221121121002022021
4131031101122130110
51003211430301320
622223534542524
72160105433630
oct351521323424
988847532267
1031361181460
1112333629894
1260b2967a44
132c5a3a1a0b
141737133dc0
15c383a1daa
hex74d45a714

31361181460 has 192 divisors, whose sum is σ = 81698512896. Its totient is φ = 9867110400.

The previous prime is 31361181433. The next prime is 31361181497. The reversal of 31361181460 is 6418116313.

It is a super-3 number, since 3×313611814603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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, 54922975 + ... + 54923545.

It is an arithmetic number, because the mean of its divisors is an integer number (425513088).

Almost surely, 231361181460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31361181460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40849256448).

31361181460 is an abundant number, since it is smaller than the sum of its proper divisors (50337331436).

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

31361181460 is a wasteful number, since it uses less digits than its factorization.

31361181460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

Adding to 31361181460 its reverse (6418116313), we get a palindrome (37779297773).

The spelling of 31361181460 in words is "thirty-one billion, three hundred sixty-one million, one hundred eighty-one thousand, four hundred sixty".