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122142444430419 = 32718012909370057
BaseRepresentation
bin11011110001011010000001…
…000000110010010001010011
3121000110200222221221200210200
4123301122001000302101103
5112002140211233233134
61111435244144230243
734504333431314640
oct3361320100622123
9530420887850720
10122142444430419
1135a113576a7966
121184803560b383
13531cca1ac6c5a
142223a23a54dc7
15e1c312c55499
hex6f1681032453

122142444430419 has 48 divisors (see below), whose sum is σ = 201813824322240. Its totient is φ = 69732760550400.

The previous prime is 122142444430403. The next prime is 122142444430427. The reversal of 122142444430419 is 914034444241221.

122142444430419 is a `hidden beast` number, since 1 + 22 + 142 + 4 + 4 + 44 + 30 + 419 = 666.

It is not a de Polignac number, because 122142444430419 - 24 = 122142444430403 is a prime.

It is a super-2 number, since 2×1221424444304192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122142444430519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329878839 + ... + 330248895.

It is an arithmetic number, because the mean of its divisors is an integer number (4204454673380).

Almost surely, 2122142444430419 is an apocalyptic number.

122142444430419 is a deficient number, since it is larger than the sum of its proper divisors (79671379891821).

122142444430419 is a wasteful number, since it uses less digits than its factorization.

122142444430419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374780 (or 374777 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 122142444430419 in words is "one hundred twenty-two trillion, one hundred forty-two billion, four hundred forty-four million, four hundred thirty thousand, four hundred nineteen".

Divisors: 1 3 7 9 21 63 1801 2909 5403 8727 12607 16209 20363 26181 37821 61089 113463 183267 370057 1110171 2590399 3330513 5239109 7771197 15717327 23313591 36673763 47151981 110021289 330063867 666472657 1076495813 1999417971 3229487439 4665308599 5998253913 7535470691 9688462317 13995925797 22606412073 41987777391 67819236219 1938768959213 5816306877639 13571382714491 17448920632917 40714148143473 122142444430419