Search a number
-
+
141413143220244 = 22347433205745233
BaseRepresentation
bin100000001001110101010000…
…001010110001000000010100
3200112200222001002112002210000
4200021311100022301000110
5122013403104131021434
61220432145014331300
741533522342335360
oct4011652012610024
9615628032462700
10141413143220244
1141070a82795425
1213a3a993659b30
1360ba28228326c
1426cc60b2a42a0
15115373143db99
hex809d502b1014

141413143220244 has 240 divisors, whose sum is σ = 432342064522368. Its totient is φ = 39462029494272.

The previous prime is 141413143220231. The next prime is 141413143220351. The reversal of 141413143220244 is 442022341314141.

141413143220244 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 13 + 1 + 432 + 202 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141413143220199 and 141413143220208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3126304252 + ... + 3126349484.

Almost surely, 2141413143220244 is an apocalyptic number.

141413143220244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141413143220244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216171032261184).

141413143220244 is an abundant number, since it is smaller than the sum of its proper divisors (290928921302124).

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

141413143220244 is a wasteful number, since it uses less digits than its factorization.

141413143220244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77356 (or 77345 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 141413143220244 its reverse (442022341314141), we get a palindrome (583435484534385).

The spelling of 141413143220244 in words is "one hundred forty-one trillion, four hundred thirteen billion, one hundred forty-three million, two hundred twenty thousand, two hundred forty-four".