Search a number
-
+
141144536 = 231310912451
BaseRepresentation
bin10000110100110…
…11000111011000
3100211120212220102
420122123013120
5242113111121
622001114532
73332465051
oct1032330730
9324525812
10141144536
1172743a85
123b328a48
132331b2a0
1414a61728
15c5d090b
hex869b1d8

141144536 has 32 divisors (see below), whose sum is σ = 287641200. Its totient is φ = 64540800.

The previous prime is 141144517. The next prime is 141144539. The reversal of 141144536 is 635441141.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 141144499 and 141144508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141144539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111 + ... + 17561.

Almost surely, 2141144536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141144536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143820600).

141144536 is an abundant number, since it is smaller than the sum of its proper divisors (146496664).

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

141144536 is a wasteful number, since it uses less digits than its factorization.

141144536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12579 (or 12575 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 141144536 is about 11880.4265916675. The cubic root of 141144536 is about 520.6605707593.

Adding to 141144536 its reverse (635441141), we get a palindrome (776585677).

The spelling of 141144536 in words is "one hundred forty-one million, one hundred forty-four thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 5668 11336 12451 24902 49804 99608 161863 323726 647452 1294904 1357159 2714318 5428636 10857272 17643067 35286134 70572268 141144536