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34423997609560 = 235133831231140411
BaseRepresentation
bin1111101001110111101100…
…01001100011011001011000
311111212220100120200201001011
413310323312021203121120
514003000321342001220
6201114055521303304
710152023515536526
oct764736611433130
9144786316621034
1034423997609560
11aa72154245299
123a3b727194b34
131629227516290
148701b7a65316
153ea6a934a65a
hex1f4ef6263658

34423997609560 has 128 divisors (see below), whose sum is σ = 83698312642560. Its totient is φ = 12666824179200.

The previous prime is 34423997609509. The next prime is 34423997609567. The reversal of 34423997609560 is 6590679932443.

It is a super-2 number, since 2×344239976095602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34423997609567) 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, 245095755 + ... + 245236165.

It is an arithmetic number, because the mean of its divisors is an integer number (653893067520).

Almost surely, 234423997609560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423997609560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41849156321280).

34423997609560 is an abundant number, since it is smaller than the sum of its proper divisors (49274315033000).

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

34423997609560 is a wasteful number, since it uses less digits than its factorization.

34423997609560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142049 (or 142045 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 67.

The spelling of 34423997609560 in words is "thirty-four trillion, four hundred twenty-three billion, nine hundred ninety-seven million, six hundred nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 383 520 766 1231 1532 1915 2462 3064 3830 4924 4979 6155 7660 9848 9958 12310 15320 16003 19916 24620 24895 32006 39832 49240 49790 64012 80015 99580 128024 140411 160030 199160 280822 320060 471473 561644 640120 702055 942946 1123288 1404110 1825343 1885892 2357365 2808220 3650686 3771784 4714730 5616440 6129149 7301372 9126715 9429460 12258298 14602744 18253430 18858920 24516596 30645745 36506860 49033192 53777413 61291490 73013720 107554826 122582980 172845941 215109652 245165960 268887065 345691882 430219304 537774130 691383764 699106369 864229705 1075548260 1382767528 1398212738 1728459410 2151096520 2246997233 2796425476 3456918820 3495531845 4493994466 5592850952 6913837640 6991063690 8987988932 11234986165 13982127380 17975977864 22469972330 27964254760 44939944660 66199995403 89879889320 132399990806 264799981612 330999977015 529599963224 661999954030 860599940239 1323999908060 1721199880478 2647999816120 3442399760956 4302999701195 6884799521912 8605999402390 17211998804780 34423997609560