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212425322151440 = 2456614017120313
BaseRepresentation
bin110000010011001100011111…
…110111100011111000010000
31000212010122212221101002212102
4300103030133313203320100
5210320334024432321230
62031442502405215532
762513136340061456
oct6023143767437020
91025118787332772
10212425322151440
116175a08948a732
121b9a954a7015a8
13916b8114a8858
143a6562484a9d6
151985a0b9b3045
hexc1331fde3e10

212425322151440 has 40 divisors (see below), whose sum is σ = 494636058503448. Its totient is φ = 84841580989440.

The previous prime is 212425322151379. The next prime is 212425322151457. The reversal of 212425322151440 is 44151223524212.

It is a happy number.

212425322151440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9410243382544 + 203015078768896 = 3067612^2 + 14248336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2124253221514402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212425322151394 and 212425322151403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2008507277 + ... + 2008613036.

Almost surely, 2212425322151440 is an apocalyptic number.

212425322151440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212425322151440 is an abundant number, since it is smaller than the sum of its proper divisors (282210736352008).

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

212425322151440 is a wasteful number, since it uses less digits than its factorization.

212425322151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017120987 (or 4017120981 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 212425322151440 its reverse (44151223524212), we get a palindrome (256576545675652).

The spelling of 212425322151440 in words is "two hundred twelve trillion, four hundred twenty-five billion, three hundred twenty-two million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 661 1322 2644 3305 5288 6610 10576 13220 26440 52880 4017120313 8034240626 16068481252 20085601565 32136962504 40171203130 64273925008 80342406260 160684812520 321369625040 2655316526893 5310633053786 10621266107572 13276582634465 21242532215144 26553165268930 42485064430288 53106330537860 106212661075720 212425322151440