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34544013314334 = 2383307941395443
BaseRepresentation
bin1111101101010111001111…
…01001001000100100011110
311112022101010200102012102220
413312223213221020210132
514011432114402024314
6201245144534330210
710163502565311456
oct766534751104436
9145271120365386
1034544013314334
1110009040a56667
123a5aa401b9966
131637642a3b9c4
14875d210d8d66
153ed8808a43a9
hex1f6ae7a4891e

34544013314334 has 64 divisors (see below), whose sum is σ = 69972873062400. Its totient is φ = 11367409028832.

The previous prime is 34544013314333. The next prime is 34544013314351. The reversal of 34544013314334 is 43341331044543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34544013314333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6346499817 + ... + 6346505259.

It is an arithmetic number, because the mean of its divisors is an integer number (1093326141600).

Almost surely, 234544013314334 is an apocalyptic number.

34544013314334 is an abundant number, since it is smaller than the sum of its proper divisors (35428859748066).

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

34544013314334 is a wasteful number, since it uses less digits than its factorization.

34544013314334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749.

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 34544013314334 its reverse (43341331044543), we get a palindrome (77885344358877).

The spelling of 34544013314334 in words is "thirty-four trillion, five hundred forty-four billion, thirteen million, three hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 83 166 249 498 3079 4139 5443 6158 8278 9237 10886 12417 16329 18474 24834 32658 255557 343537 451769 511114 687074 766671 903538 1030611 1355307 1533342 2061222 2710614 12743981 16758997 22528577 25487962 33517994 38231943 45057154 50276991 67585731 76463886 100553982 135171462 1057750423 1390996751 1869871891 2115500846 2781993502 3173251269 3739743782 4172990253 5609615673 6346502538 8345980506 11219231346 69365488583 138730977166 208096465749 416192931498 5757335552389 11514671104778 17272006657167 34544013314334