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34014401454 = 23118933717183
BaseRepresentation
bin11111101011011010…
…101001001110101110
310020210112002121220110
4133223122221032232
51024130141321304
623343114400450
72312623433115
oct375332511656
9106715077813
1034014401454
1113475274290
126713430126
133290c89887
14190966ac7c
15d41296289
hex7eb6a93ae

34014401454 has 64 divisors (see below), whose sum is σ = 75274168320. Its totient is φ = 10160747520.

The previous prime is 34014401429. The next prime is 34014401497. The reversal of 34014401454 is 45410441043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1970947 + ... + 1988129.

It is an arithmetic number, because the mean of its divisors is an integer number (1176158880).

Almost surely, 234014401454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014401454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37637084160).

34014401454 is an abundant number, since it is smaller than the sum of its proper divisors (41259766866).

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

34014401454 is a wasteful number, since it uses less digits than its factorization.

34014401454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17625.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 34014401454 its reverse (45410441043), we get a palindrome (79424842497).

The spelling of 34014401454 in words is "thirty-four billion, fourteen million, four hundred one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 337 534 674 979 1011 1958 2022 2937 3707 5874 7414 11121 17183 22242 29993 34366 51549 59986 89979 103098 179958 189013 329923 378026 567039 659846 989769 1134078 1529287 1979538 3058574 4587861 5790671 9175722 11581342 16822157 17372013 33644314 34744026 50466471 63697381 100932942 127394762 191092143 382184286 515369719 1030739438 1546109157 3092218314 5669066909 11338133818 17007200727 34014401454