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3429819497142 = 234659106330223
BaseRepresentation
bin110001111010010001001…
…011000011101010110110
3110010212222000111001110000
4301322101023003222312
5422143232242402032
611143345355012130
7502540060462413
oct61722113035266
913125860431400
103429819497142
11110263a766695
1247487b73a046
131bb57a0145bc
14bc00b55910a
155e33deade7c
hex31e912c3ab6

3429819497142 has 80 divisors (see below), whose sum is σ = 7704494138880. Its totient is φ = 1140426686448.

The previous prime is 3429819497089. The next prime is 3429819497149. The reversal of 3429819497142 is 2417949189243.

3429819497142 is a `hidden beast` number, since 3 + 4 + 2 + 98 + 19 + 497 + 1 + 42 = 666.

3429819497142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3429819497142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429819497149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113468643 + ... + 113498865.

It is an arithmetic number, because the mean of its divisors is an integer number (96306176736).

Almost surely, 23429819497142 is an apocalyptic number.

3429819497142 is an abundant number, since it is smaller than the sum of its proper divisors (4274674641738).

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

3429819497142 is a wasteful number, since it uses less digits than its factorization.

3429819497142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31959 (or 31950 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 3429819497142 in words is "three trillion, four hundred twenty-nine billion, eight hundred nineteen million, four hundred ninety-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 659 1063 1318 1977 2126 3189 3954 5931 6378 9567 11862 17793 19134 28701 30223 35586 53379 57402 60446 86103 90669 106758 172206 181338 272007 544014 700517 816021 1401034 1632042 2101551 2448063 4203102 4896126 6304653 12609306 18913959 19916957 32127049 37827918 39833914 56741877 59750871 64254098 96381147 113483754 119501742 179252613 192762294 289143441 358505226 537757839 578286882 867430323 1075515678 1613273517 1734860646 2602290969 3226547034 5204581938 21171725291 42343450582 63515175873 127030351746 190545527619 381091055238 571636582857 1143273165714 1714909748571 3429819497142