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141240414 = 23719379467
BaseRepresentation
bin10000110101100…
…10100001011110
3100211202202102110
420122302201132
5242124143124
622003134450
73333344430
oct1032624136
9324682373
10141240414
11727aa017
123b374426
1323352b13
1414a88650
15c5ee029
hex86b285e

141240414 has 64 divisors (see below), whose sum is σ = 341452800. Its totient is φ = 38047968.

The previous prime is 141240413. The next prime is 141240427. The reversal of 141240414 is 414042141.

141240414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141240413) 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 31 ways as a sum of consecutive naturals, for example, 302209 + ... + 302675.

It is an arithmetic number, because the mean of its divisors is an integer number (5335200).

Almost surely, 2141240414 is an apocalyptic number.

141240414 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 141240414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

141240414 is an abundant number, since it is smaller than the sum of its proper divisors (200212386).

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

141240414 is a wasteful number, since it uses less digits than its factorization.

141240414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 141240414 is about 11884.4610311112. The cubic root of 141240414 is about 520.7784371595.

Adding to 141240414 its reverse (414042141), we get a palindrome (555282555).

The spelling of 141240414 in words is "one hundred forty-one million, two hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 379 399 467 758 798 934 1137 1401 2274 2653 2802 3269 5306 6538 7201 7959 8873 9807 14402 15918 17746 19614 21603 26619 43206 50407 53238 62111 100814 124222 151221 176993 186333 302442 353986 372666 530979 1061958 1238951 2477902 3362867 3716853 6725734 7433706 10088601 20177202 23540069 47080138 70620207 141240414