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33034346605414 = 27211173734832693
BaseRepresentation
bin1111000001011011010000…
…11111101010101101100110
311022222001102102011101000001
413200231220133222231212
513312213320212333124
6154131434101411514
76646436622104200
oct740555037525546
9138861372141001
1033034346605414
11a586873500840
12385633ba09b9a
1315581829c09bb
14822c29aa7770
153c4474a34b44
hex1e0b687eab66

33034346605414 has 96 divisors (see below), whose sum is σ = 66759144208416. Its totient is φ = 12080956769280.

The previous prime is 33034346605391. The next prime is 33034346605459. The reversal of 33034346605414 is 41450664343033.

It is a super-2 number, since 2×330343466054142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4419252 + ... + 9251944.

It is an arithmetic number, because the mean of its divisors is an integer number (695407752171).

Almost surely, 233034346605414 is an apocalyptic number.

33034346605414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33034346605414 is an abundant number, since it is smaller than the sum of its proper divisors (33724797603002).

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

33034346605414 is a wasteful number, since it uses less digits than its factorization.

33034346605414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833110 (or 4833103 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 46.

The spelling of 33034346605414 in words is "thirty-three trillion, thirty-four billion, three hundred forty-six million, six hundred five thousand, four hundred fourteen".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 154 187 238 373 374 539 746 833 1078 1309 1666 2611 2618 4103 5222 6341 8206 9163 12682 18277 18326 28721 36554 44387 57442 69751 88774 139502 201047 310709 402094 488257 621418 976514 3417799 4832693 6835598 9665386 33828851 53159623 67657702 82155781 106319246 164311562 236801957 372117361 473603914 575090467 744234722 903713591 1150180934 1802594489 1807427182 2604821527 3605188978 4025633269 5209643054 6325995137 8051266538 12618161423 12651990274 19828539379 25236322846 30644106313 39657078758 44281965959 61288212626 88327129961 88563931918 138799775653 176654259922 214508744191 277599551306 337085169443 429017488382 674170338886 971598429571 1501561209337 1943196859142 2359596186101 3003122418674 4719192372202 16517173302707 33034346605414