Search a number
-
+
141322314 = 23737211431
BaseRepresentation
bin10000110110001…
…10100001001010
3100211220220202210
420123012201022
5242134303224
622005005550
73334135260
oct1033064112
9324826683
10141322314
1172855601
123b3b38b6
1323381193
1414aaa430
15c618429
hex86c684a

141322314 has 64 divisors (see below), whose sum is σ = 334098432. Its totient is φ = 39009600.

The previous prime is 141322303. The next prime is 141322333. The reversal of 141322314 is 413223141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 327679 + ... + 328109.

It is an arithmetic number, because the mean of its divisors is an integer number (5220288).

Almost surely, 2141322314 is an apocalyptic number.

141322314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141322314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167049216).

141322314 is an abundant number, since it is smaller than the sum of its proper divisors (192776118).

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

141322314 is a wasteful number, since it uses less digits than its factorization.

141322314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691.

The product of its digits is 576, while the sum is 21.

The square root of 141322314 is about 11887.9062075708. The cubic root of 141322314 is about 520.8790776476.

Adding to 141322314 its reverse (413223141), we get a palindrome (554545455).

The spelling of 141322314 in words is "one hundred forty-one million, three hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 211 222 259 422 431 518 633 777 862 1266 1293 1477 1554 2586 2954 3017 4431 6034 7807 8862 9051 15614 15947 18102 23421 31894 46842 47841 54649 90941 95682 109298 111629 163947 181882 223258 272823 327894 334887 545646 636587 669774 1273174 1909761 3364817 3819522 6729634 10094451 20188902 23553719 47107438 70661157 141322314