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34064336430033 = 371319409157910169
BaseRepresentation
bin1111011111011001110001…
…01011000010001111010001
311110121112000011201201212020
413233230320223002033101
513431102230111230113
6200240535022122053
710114032004132230
oct757547053021721
9143545004651766
1034064336430033
11a94367094a858
1239a1a91420329
13160133a1caca0
1485aa1906ab17
153e1159065023
hex1efb38ac23d1

34064336430033 has 128 divisors (see below), whose sum is σ = 59029608960000. Its totient is φ = 16968275103744.

The previous prime is 34064336430001. The next prime is 34064336430043. The reversal of 34064336430033 is 33003463346043.

It is not a de Polignac number, because 34064336430033 - 25 = 34064336430001 is a prime.

It is a super-2 number, since 2×340643364300332 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34064336430043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3349816573 + ... + 3349826741.

It is an arithmetic number, because the mean of its divisors is an integer number (461168820000).

Almost surely, 234064336430033 is an apocalyptic number.

It is an amenable number.

34064336430033 is a deficient number, since it is larger than the sum of its proper divisors (24965272529967).

34064336430033 is a wasteful number, since it uses less digits than its factorization.

34064336430033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12199.

The product of its (nonzero) digits is 1679616, while the sum is 42.

Adding to 34064336430033 its reverse (33003463346043), we get a palindrome (67067799776076).

The spelling of 34064336430033 in words is "thirty-four trillion, sixty-four billion, three hundred thirty-six million, four hundred thirty thousand, thirty-three".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 409 741 1227 1579 1729 2863 4737 5187 5317 7771 8589 10169 11053 15951 20527 23313 30001 30507 33159 37219 54397 61581 71183 90003 101023 111657 132197 143689 163191 193211 210007 213549 303069 390013 396591 431067 579633 630021 645811 707161 925379 1170039 1352477 1937433 2121483 2511743 2730091 2776137 4057431 4159121 4520677 7535229 8190273 8395543 12270409 12477363 13562031 16056851 17582201 25186629 29113847 36811227 48170553 52746603 54068573 58768801 79023299 85892863 87341541 112397957 159515317 162205719 176306403 208739063 237069897 257678589 305080169 337193871 378480011 478545951 553163093 626217189 915240507 1027302887 1116607219 1135440033 1461173441 1659489279 2135561183 3081908661 3349821657 3966042197 4383520323 6406683549 6567252059 7191120209 11898126591 19701756177 21573360627 27762295379 45970764413 83286886137 85374276767 124777789121 137912293239 256122830301 374333367363 597619937369 873444523847 1622111258573 1792859812107 2620333571541 4866333775719 11354778810011 34064336430033