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34021014444 = 2234149704719
BaseRepresentation
bin11111101011110011…
…110111101110101100
310020210222112121020000
4133223303313232230
51024133334430234
623343512224300
72313033565014
oct375363675654
9106728477200
1034021014444
1113478a8076a
12671569b090
1332924638a1
14190a4acc44
15d41b50899
hex7ebcf7bac

34021014444 has 60 divisors (see below), whose sum is σ = 89534676000. Its totient is φ = 11264212512.

The previous prime is 34021014413. The next prime is 34021014473. The reversal of 34021014444 is 44441012043.

34021014444 is a `hidden beast` number, since 3 + 4 + 0 + 210 + 1 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304084 + ... + 400635.

It is an arithmetic number, because the mean of its divisors is an integer number (1492244600).

Almost surely, 234021014444 is an apocalyptic number.

It is an amenable number.

34021014444 is an abundant number, since it is smaller than the sum of its proper divisors (55513661556).

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

34021014444 is a wasteful number, since it uses less digits than its factorization.

34021014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704884 (or 704873 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34021014444 its reverse (44441012043), we get a palindrome (78462026487).

The spelling of 34021014444 in words is "thirty-four billion, twenty-one million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 5364 8046 12069 16092 24138 48276 704719 1409438 2114157 2818876 4228314 6342471 8456628 12684942 19027413 25369884 38054826 57082239 76109652 105003131 114164478 210006262 228328956 315009393 420012524 630018786 945028179 1260037572 1890056358 2835084537 3780112716 5670169074 8505253611 11340338148 17010507222 34021014444