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42414445341 = 3317671977001
BaseRepresentation
bin100111100000000110…
…010001001100011101
311001110221021001212000
4213200012101030131
51143331044222331
631252424432513
73031032560022
oct474006211435
9131427231760
1042414445341
1116a95937614
128278618739
133ccc358248
1420a510b549
1511839630e6
hex9e019131d

42414445341 has 64 divisors (see below), whose sum is σ = 67877948160. Its totient is φ = 26078976000.

The previous prime is 42414445301. The next prime is 42414445363. The reversal of 42414445341 is 14354441424.

42414445341 is a `hidden beast` number, since 4 + 24 + 144 + 453 + 41 = 666.

It is not a de Polignac number, because 42414445341 - 29 = 42414444829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42414445296 and 42414445305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414445301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6054841 + ... + 6061841.

It is an arithmetic number, because the mean of its divisors is an integer number (1060592940).

Almost surely, 242414445341 is an apocalyptic number.

It is an amenable number.

42414445341 is a deficient number, since it is larger than the sum of its proper divisors (25463502819).

42414445341 is a wasteful number, since it uses less digits than its factorization.

42414445341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7285 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 42414445341 its reverse (14354441424), we get a palindrome (56768886765).

The spelling of 42414445341 in words is "forty-two billion, four hundred fourteen million, four hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 17 27 51 67 153 197 201 459 591 603 1139 1773 1809 3349 3417 5319 7001 10047 10251 13199 21003 30141 30753 39597 63009 90423 118791 119017 189027 224383 356373 357051 469067 673149 1071153 1379197 1407201 2019447 3213459 4137591 4221603 6058341 7974139 12412773 12664809 23446349 23922417 37238319 70339047 71767251 92406199 211017141 215301753 277218597 633051423 831655791 1570905383 2494967373 4712716149 14138148447 42414445341