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141434124114304 = 277479329541931
BaseRepresentation
bin100000001010001000110010…
…101110100001100110000000
3200112202222012021202221201101
4200022020302232201212000
5122014224041233124204
61220445534543544144
741535164305106620
oct4012106256414600
9615688167687641
10141434124114304
114107996997869a
1213a42a69bbb054
1360bc246c38888
1426cd63b962880
15115405d364ea4
hex80a232ba1980

141434124114304 has 64 divisors (see below), whose sum is σ = 322687459814400. Its totient is φ = 60488080335360.

The previous prime is 141434124114251. The next prime is 141434124114307. The reversal of 141434124114304 is 403411421434141.

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

It is a super-2 number, since 2×1414341241143042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141434124114307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164341782 + ... + 165200149.

It is an arithmetic number, because the mean of its divisors is an integer number (5041991559600).

Almost surely, 2141434124114304 is an apocalyptic number.

141434124114304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141434124114304 is an abundant number, since it is smaller than the sum of its proper divisors (181253335700096).

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

141434124114304 is an equidigital number, since it uses as much as digits as its factorization.

141434124114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329542431 (or 329542419 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 141434124114304 its reverse (403411421434141), we get a palindrome (544845545548445).

The spelling of 141434124114304 in words is "one hundred forty-one trillion, four hundred thirty-four billion, one hundred twenty-four million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 479 896 958 1916 3353 3832 6706 7664 13412 15328 26824 30656 53648 61312 107296 214592 429184 329541931 659083862 1318167724 2306793517 2636335448 4613587034 5272670896 9227174068 10545341792 18454348136 21090683584 36908696272 42181367168 73817392544 147634785088 157850584949 295269570176 315701169898 631402339796 1104954094643 1262804679592 2209908189286 2525609359184 4419816378572 5051218718368 8839632757144 10102437436736 17679265514288 20204874873472 35358531028576 70717062057152 141434124114304