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34335023400314 = 27131730736147533
BaseRepresentation
bin1111100111010001111101…
…10111111000010101111010
311111120101200211000120021222
413303220332313320111322
514000021111442302224
6201005143023232042
710142423613331550
oct763507667702572
9144511624016258
1034335023400314
11aa38446662a5a
123a26435a48622
131620a180912a0
14869b770a9bd0
153e81ed096b5e
hex1f3a3edf857a

34335023400314 has 64 divisors (see below), whose sum is σ = 67335047974656. Its totient is φ = 12742438800384.

The previous prime is 34335023400253. The next prime is 34335023400317. The reversal of 34335023400314 is 41300432053343.

It is not an unprimeable number, because it can be changed into a prime (34335023400317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17123909 + ... + 19023624.

It is an arithmetic number, because the mean of its divisors is an integer number (1052110124604).

Almost surely, 234335023400314 is an apocalyptic number.

34335023400314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34335023400314 is a deficient number, since it is larger than the sum of its proper divisors (33000024574342).

34335023400314 is a wasteful number, since it uses less digits than its factorization.

34335023400314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36147879.

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 34335023400314 its reverse (41300432053343), we get a palindrome (75635455453657).

The spelling of 34335023400314 in words is "thirty-four trillion, three hundred thirty-five billion, twenty-three million, four hundred thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 17 26 34 91 119 182 221 238 307 442 614 1547 2149 3094 3991 4298 5219 7982 10438 27937 36533 55874 67847 73066 135694 474929 949858 36147533 72295066 253032731 469917929 506065462 614508061 939835858 1229016122 3289425503 4301556427 6578851006 7988604793 8603112854 11097292631 15977209586 22194585262 55920233551 77681048417 111840467102 144264804203 155362096834 188653974727 288529608406 377307949454 1009853629421 1320577823089 2019707258842 2452501671451 2641155646178 4905003342902 17167511700157 34335023400314