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321412404241000 = 2353714526935271
BaseRepresentation
bin100100100010100101010100…
…0001011100110001001101000
31120011000201121002011121202001
41021011022220023212021220
5314112010100441203000
63055330453051020344
7124462165001462662
oct11105125013461150
91504021532147661
10321412404241000
1193459264a98696
123006ba63a3a6b4
1310a460a1121c97
14595262c867532
152725a1a82546a
hex12452a82e6268

321412404241000 has 64 divisors (see below), whose sum is σ = 762698054626560. Its totient is φ = 126754187560000.

The previous prime is 321412404240943. The next prime is 321412404241007. The reversal of 321412404241000 is 142404214123.

It is a self number, because there is not a number n which added to its sum of digits gives 321412404241000.

It is not an unprimeable number, because it can be changed into a prime (321412404241007) by changing a digit.

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, 2263396636 + ... + 2263538635.

It is an arithmetic number, because the mean of its divisors is an integer number (11917157103540).

Almost surely, 2321412404241000 is an apocalyptic number.

It is an amenable number.

321412404241000 is an abundant number, since it is smaller than the sum of its proper divisors (441285650385560).

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

321412404241000 is a wasteful number, since it uses less digits than its factorization.

321412404241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526935363 (or 4526935349 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 321412404241000 its reverse (142404214123), we get a palindrome (321554808455123).

The spelling of 321412404241000 in words is "three hundred twenty-one trillion, four hundred twelve billion, four hundred four million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 7100 8875 14200 17750 35500 71000 4526935271 9053870542 18107741084 22634676355 36215482168 45269352710 90538705420 113173381775 181077410840 226346763550 321412404241 452693527100 565866908875 642824808482 905387054200 1131733817750 1285649616964 1607062021205 2263467635500 2571299233928 3214124042410 4526935271000 6428248084820 8035310106025 12856496169640 16070620212050 32141240424100 40176550530125 64282480848200 80353101060250 160706202120500 321412404241000