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322421141443141 = 13241401116040229
BaseRepresentation
bin100100101001111011000010…
…1100110101001001001000101
31120021121011022201011220100101
41021103312011212221021011
5314230021444202140031
63101422121054044101
7124625105311306366
oct11123660546511105
91507534281156311
10322421141443141
119380804692a8a4
12301b3463aa9631
1310aba24c597200
1459893a3437b6d
152741da9157361
hex1253d859a9245

322421141443141 has 24 divisors (see below), whose sum is σ = 358537853527560. Its totient is φ = 289636409088000.

The previous prime is 322421141443087. The next prime is 322421141443189. The reversal of 322421141443141 is 141344141124223.

It can be written as a sum of positive squares in 12 ways, for example, as 89820636890625 + 232600504552516 = 9477375^2 + 15251246^2 .

It is not a de Polignac number, because 322421141443141 - 29 = 322421141442629 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 322421141443141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322421141473141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55241586 + ... + 60798643.

It is an arithmetic number, because the mean of its divisors is an integer number (14939077230315).

Almost surely, 2322421141443141 is an apocalyptic number.

It is an amenable number.

322421141443141 is a deficient number, since it is larger than the sum of its proper divisors (36116712084419).

322421141443141 is a wasteful number, since it uses less digits than its factorization.

322421141443141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116040697 (or 116040684 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

Adding to 322421141443141 its reverse (141344141124223), we get a palindrome (463765282567364).

The spelling of 322421141443141 in words is "three hundred twenty-two trillion, four hundred twenty-one billion, one hundred forty-one million, four hundred forty-three thousand, one hundred forty-one".

Divisors: 1 13 41 169 401 533 5213 6929 16441 67769 213733 2778529 116040229 1508522977 4757649389 19610798701 46532131829 61849442057 604917713777 804042746741 1907817404989 7863930279101 24801626264857 322421141443141