Search a number
-
+
141413134314330 = 232537211263765257
BaseRepresentation
bin100000001001110101001111…
…101000110010101101011010
3200112200222000110202122011100
4200021311033220302231122
5122013403044341024310
61220432144055412230
741533522203543534
oct4011651750625532
9615628013678140
10141413134314330
1141070a7876226a
1213a3a990684076
1360ba2804856a8
1426cc60a026854
15115373077eec0
hex809d4fa32b5a

141413134314330 has 192 divisors, whose sum is σ = 380844002043648. Its totient is φ = 36378188743680.

The previous prime is 141413134314289. The next prime is 141413134314343. The reversal of 141413134314330 is 33413431314141.

141413134314330 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 3 + 1 + 3 + 4 + 314 + 330 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184409062 + ... + 185174318.

It is an arithmetic number, because the mean of its divisors is an integer number (1983562510644).

Almost surely, 2141413134314330 is an apocalyptic number.

141413134314330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141413134314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190422001021824).

141413134314330 is an abundant number, since it is smaller than the sum of its proper divisors (239430867729318).

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

141413134314330 is a wasteful number, since it uses less digits than its factorization.

141413134314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765781 (or 765778 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 141413134314330 its reverse (33413431314141), we get a palindrome (174826565628471).

The spelling of 141413134314330 in words is "one hundred forty-one trillion, four hundred thirteen billion, one hundred thirty-four million, three hundred fourteen thousand, three hundred thirty".