Search a number
-
+
141936256 = 2771114401
BaseRepresentation
bin10000111010111…
…00011010000000
3100220002002221101
420131130122000
5242313430011
622030104144
73342303220
oct1035343200
9326062841
10141936256
11731348a0
123b64b054
1323537767
1414bca080
15c6da2c1
hex875c680

141936256 has 64 divisors (see below), whose sum is σ = 352560960. Its totient is φ = 55296000.

The previous prime is 141936239. The next prime is 141936257. The reversal of 141936256 is 652639141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141936257) 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 7 ways as a sum of consecutive naturals, for example, 2656 + ... + 17056.

It is an arithmetic number, because the mean of its divisors is an integer number (5508765).

Almost surely, 2141936256 is an apocalyptic number.

141936256 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 141936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176280480).

141936256 is an abundant number, since it is smaller than the sum of its proper divisors (210624704).

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

141936256 is a wasteful number, since it uses less digits than its factorization.

141936256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14433 (or 14421 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 141936256 is about 11913.7003487581. The cubic root of 141936256 is about 521.6322674406.

It can be divided in two parts, 14193 and 6256, that added together give a square (20449 = 1432).

The spelling of 141936256 in words is "one hundred forty-one million, nine hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 14401 28802 57604 100807 115208 158411 201614 230416 316822 403228 460832 633644 806456 921664 1108877 1267288 1612912 1843328 2217754 2534576 3225824 4435508 5069152 6451648 8871016 10138304 12903296 17742032 20276608 35484064 70968128 141936256