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34282055028243 = 3111964385033163
BaseRepresentation
bin1111100101101111010011…
…01101100100111000010011
311111101022222100200110200210
413302313221231210320103
513443134122041400433
6200524543023215203
710135540165522041
oct762675155447023
9144338870613623
1034282055028243
11aa17a35372050
123a18112a47503
131618a26361ca9
14867390447391
153e6b4cd09463
hex1f2de9b64e13

34282055028243 has 32 divisors (see below), whose sum is σ = 52570903311360. Its totient is φ = 19652864401440.

The previous prime is 34282055028241. The next prime is 34282055028289.

34282055028243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34282055028243 - 21 = 34282055028241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34282055028192 and 34282055028201.

It is not an unprimeable number, because it can be changed into a prime (34282055028241) 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, 42113421 + ... + 42919742.

It is an arithmetic number, because the mean of its divisors is an integer number (1642840728480).

Almost surely, 234282055028243 is an apocalyptic number.

34282055028243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34282055028243 is a deficient number, since it is larger than the sum of its proper divisors (18288848283117).

34282055028243 is a wasteful number, since it uses less digits than its factorization.

34282055028243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85033839.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 34282055028243 in words is "thirty-four trillion, two hundred eighty-two billion, fifty-five million, twenty-eight thousand, two hundred forty-three".

Divisors: 1 3 11 19 33 57 209 627 643 1929 7073 12217 21219 36651 134387 403161 85033163 255099489 935364793 1615630097 2806094379 4846890291 17771931067 53315793201 54676323809 164028971427 601439561899 1038850152371 1804318685697 3116550457113 11427351676081 34282055028243