Search a number
-
+
141053520256 = 2711211474787
BaseRepresentation
bin1000001101011101110…
…0011110100110000000
3111111002021002020211221
42003113130132212000
54302334200122011
6144444334244424
713122303065635
oct2032734364600
9444067066757
10141053520256
1154903042540
1223406656714
13103bbc1a96c
146b8150c18c
153a08475971
hex20d771e980

141053520256 has 64 divisors (see below), whose sum is σ = 308004471360. Its totient is φ = 63811238400.

The previous prime is 141053520203. The next prime is 141053520271. The reversal of 141053520256 is 652025350141.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 59695 + ... + 534481.

It is an arithmetic number, because the mean of its divisors is an integer number (4812569865).

Almost surely, 2141053520256 is an apocalyptic number.

141053520256 is a gapful number since it is divisible by the number (16) 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 141053520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154002235680).

141053520256 is an abundant number, since it is smaller than the sum of its proper divisors (166950951104).

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

141053520256 is a wasteful number, since it uses less digits than its factorization.

141053520256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475023 (or 475011 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 141053520256 its reverse (652025350141), we get a palindrome (793078870397).

The spelling of 141053520256 in words is "one hundred forty-one billion, fifty-three million, five hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 211 352 422 704 844 1408 1688 2321 3376 4642 6752 9284 13504 18568 27008 37136 74272 148544 297088 474787 949574 1899148 3798296 5222657 7596592 10445314 15193184 20890628 30386368 41781256 60772736 83562512 100180057 167125024 200360114 334250048 400720228 668500096 801440456 1101980627 1602880912 2203961254 3205761824 4407922508 6411523648 8815845016 12823047296 17631690032 35263380064 70526760128 141053520256