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321434443144014 = 23537376333181397
BaseRepresentation
bin100100100010101111100100…
…1110011010101101101001110
31120011002211111000020220010020
41021011133021303111231032
5314112340214421102024
63055344540013123010
7124463605102200354
oct11105371163255516
91504084430226106
10321434443144014
1193467644415722
1230074194789466
1310a481a40453b5
14595371d8537d4
1527263aa58a979
hex12457c9cd5b4e

321434443144014 has 64 divisors (see below), whose sum is σ = 663983428659264. Its totient is φ = 103681240206336.

The previous prime is 321434443143943. The next prime is 321434443144033. The reversal of 321434443144014 is 410441344434123.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771903564 + ... + 1772084960.

It is an arithmetic number, because the mean of its divisors is an integer number (10374741072801).

Almost surely, 2321434443144014 is an apocalyptic number.

321434443144014 is an abundant number, since it is smaller than the sum of its proper divisors (342548985515250).

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

321434443144014 is a wasteful number, since it uses less digits than its factorization.

321434443144014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257861.

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 321434443144014 its reverse (410441344434123), we get a palindrome (731875787578137).

The spelling of 321434443144014 in words is "three hundred twenty-one trillion, four hundred thirty-four billion, four hundred forty-three million, one hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 53 73 106 146 159 219 318 438 3869 7738 11607 23214 76333 152666 181397 228999 362794 457998 544191 1088382 4045649 5572309 8091298 9614041 11144618 12136947 13241981 16716927 19228082 24273894 26483962 28842123 33433854 39725943 57684246 79451886 295332377 590664754 701824993 885997131 1403649986 1771994262 2105474979 4210949958 13846577201 27693154402 41539731603 83079463206 733868591653 1010800135673 1467737183306 2021600271346 2201605774959 3032400407019 4403211549918 6064800814038 53572407190669 107144814381338 160717221572007 321434443144014