Search a number
-
+
141736843872 = 253313194197167
BaseRepresentation
bin1000010000000000101…
…1001001101001100000
3111112211212212200122000
42010000023021221200
54310234113000442
6145040224244000
713145241203031
oct2040013115140
9445755780560
10141736843872
11551238316a8
1223577470600
131049a66b670
146c08184a88
153a48451d4c
hex21002c9a60

141736843872 has 768 divisors, whose sum is σ = 487913932800. Its totient is φ = 39653867520.

The previous prime is 141736843861. The next prime is 141736843877. The reversal of 141736843872 is 278348637141.

141736843872 is a `hidden beast` number, since 14 + 1 + 73 + 68 + 438 + 72 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141736843877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 848723533 + ... + 848723699.

It is an arithmetic number, because the mean of its divisors is an integer number (635304600).

Almost surely, 2141736843872 is an apocalyptic number.

141736843872 is a gapful number since it is divisible by the number (12) 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 141736843872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243956966400).

141736843872 is an abundant number, since it is smaller than the sum of its proper divisors (346177088928).

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

141736843872 is a wasteful number, since it uses less digits than its factorization.

141736843872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 141736843872 in words is "one hundred forty-one billion, seven hundred thirty-six million, eight hundred forty-three thousand, eight hundred seventy-two".