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321214213441 = 1122343262423
BaseRepresentation
bin1001010110010011101…
…10111110110101000001
31010201002222012201201001
410223021312332311001
520230321314312231
6403321435212001
732130662523202
oct4531166766501
91121088181631
10321214213441
1111425405a900
1252305ba7001
13243a0c36324
14117927b75a9
15854ed21b61
hex4ac9dbed41

321214213441 has 36 divisors (see below), whose sum is σ = 377194273344. Its totient is φ = 272816599440.

The previous prime is 321214213417. The next prime is 321214213457. The reversal of 321214213441 is 144312412123.

It is a happy number.

It is not a de Polignac number, because 321214213441 - 25 = 321214213409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321214216441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5114556 + ... + 5176978.

It is an arithmetic number, because the mean of its divisors is an integer number (10477618704).

Almost surely, 2321214213441 is an apocalyptic number.

It is an amenable number.

321214213441 is a deficient number, since it is larger than the sum of its proper divisors (55980059903).

321214213441 is a wasteful number, since it uses less digits than its factorization.

321214213441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62554 (or 62500 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 321214213441 its reverse (144312412123), we get a palindrome (465526625564).

The spelling of 321214213441 in words is "three hundred twenty-one billion, two hundred fourteen million, two hundred thirteen thousand, four hundred forty-one".

Divisors: 1 11 23 43 121 253 473 989 1849 2783 5203 10879 20339 42527 62423 119669 223729 467797 686653 1435729 2684189 5145767 7553183 15793019 29526079 61736347 115420127 173723209 324786869 679099817 1269621397 2654662921 7470097987 13965835367 29201292131 321214213441