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32010222420414 = 2327793259986749
BaseRepresentation
bin1110100011100111101011…
…11011111100000110111110
311012100010222102211101000200
413101303311323330012332
513143423413414423124
6152025143154104330
76512443103133240
oct721636573740676
9135303872741020
1032010222420414
11a221506062677
12370b96687b0a6
1314b27217980a4
147c943573a090
153a79d544bbc9
hex1d1cf5efc1be

32010222420414 has 96 divisors (see below), whose sum is σ = 80291452800000. Its totient is φ = 9027228555072.

The previous prime is 32010222420383. The next prime is 32010222420433. The reversal of 32010222420414 is 41402422201023.

It is a happy number.

32010222420414 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 0 + 2 + 2 + 242 + 0 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31946712 + ... + 32933460.

It is an arithmetic number, because the mean of its divisors is an integer number (836369300000).

Almost surely, 232010222420414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32010222420414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40145726400000).

32010222420414 is an abundant number, since it is smaller than the sum of its proper divisors (48281230379586).

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

32010222420414 is a wasteful number, since it uses less digits than its factorization.

32010222420414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990102 (or 990099 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 32010222420414 its reverse (41402422201023), we get a palindrome (73412644621437).

The spelling of 32010222420414 in words is "thirty-two trillion, ten billion, two hundred twenty-two million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3259 3318 4977 6518 9777 9954 19554 22813 29331 45626 58662 68439 136878 205317 257461 410634 514922 772383 986749 1544766 1802227 1973498 2317149 2960247 3604454 4634298 5406681 5920494 6907243 8880741 10813362 13814486 16220043 17761482 20721729 32440086 41443458 62165187 77953171 124330374 155906342 233859513 467719026 545672197 701578539 1091344394 1403157078 1637016591 3215814991 3274033182 4911049773 6431629982 9647444973 9822099546 19294889946 22510704937 28942334919 45021409874 57884669838 67532114811 135064229622 202596344433 254049384289 405192688866 508098768578 762148152867 1524296305734 1778345690023 2286444458601 3556691380046 4572888917202 5335037070069 10670074140138 16005111210207 32010222420414