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141131412 = 223247239349
BaseRepresentation
bin10000110100101…
…11111010010100
3100211120012220100
420122113322110
5242112201122
622000534100
73332411562
oct1032277224
9324505810
10141131412
1172735134
123b321330
1323315316
1414a5aa32
15c5cbaac
hex8697e94

141131412 has 72 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 45718848.

The previous prime is 141131377. The next prime is 141131423. The reversal of 141131412 is 214131141.

141131412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1411314122 = 39836150906227488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404214 + ... + 404562.

It is an arithmetic number, because the mean of its divisors is an integer number (5096000).

Almost surely, 2141131412 is an apocalyptic number.

141131412 is a gapful number since it is divisible by the number (12) 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 141131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

141131412 is an abundant number, since it is smaller than the sum of its proper divisors (225780588).

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

141131412 is a wasteful number, since it uses less digits than its factorization.

141131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 141131412 is about 11879.8742417586. The cubic root of 141131412 is about 520.6444327839.

Adding to 141131412 its reverse (214131141), we get a palindrome (355262553).

It can be divided in two parts, 1411 and 31412, that added together give a palindrome (32823).

The spelling of 141131412 in words is "one hundred forty-one million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 239 282 349 423 478 564 698 717 846 956 1047 1396 1434 1692 2094 2151 2868 3141 4188 4302 6282 8604 11233 12564 16403 22466 32806 33699 44932 49209 65612 67398 83411 98418 101097 134796 147627 166822 196836 202194 250233 295254 333644 404388 500466 590508 750699 1000932 1501398 3002796 3920317 7840634 11760951 15681268 23521902 35282853 47043804 70565706 141131412