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324122412144 = 24334726837253
BaseRepresentation
bin1001011011101110011…
…00111000010001110000
31010222121122111112100010
410231313030320101300
520302300314142034
6404522204054520
732263025021466
oct4556714702160
91128548445303
10324122412144
11115506719603
1252997b34440
13247455b7a6b
141198ab24836
1586702d03e9
hex4b77338470

324122412144 has 80 divisors (see below), whose sum is σ = 840158047872. Its totient is φ = 107674447104.

The previous prime is 324122412083. The next prime is 324122412161. The reversal of 324122412144 is 441214221423.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44684422 + ... + 44691674.

Almost surely, 2324122412144 is an apocalyptic number.

It is an amenable number.

324122412144 is an abundant number, since it is smaller than the sum of its proper divisors (516035635728).

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

324122412144 is a wasteful number, since it uses less digits than its factorization.

324122412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294 (or 10288 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 324122412144 its reverse (441214221423), we get a palindrome (765336633567).

The spelling of 324122412144 in words is "three hundred twenty-four billion, one hundred twenty-two million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 347 694 1041 1388 2082 2683 2776 4164 5366 5552 7253 8049 8328 10732 14506 16098 16656 21464 21759 29012 32196 42928 43518 58024 64392 87036 116048 128784 174072 348144 931001 1862002 2516791 2793003 3724004 5033582 5586006 7448008 7550373 10067164 11172012 14896016 15100746 19459799 20134328 22344024 30201492 38919598 40268656 44688048 58379397 60402984 77839196 116758794 120805968 155678392 233517588 311356784 467035176 934070352 6752550253 13505100506 20257650759 27010201012 40515301518 54020402024 81030603036 108040804048 162061206072 324122412144