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131314224422208 = 2631762738800037
BaseRepresentation
bin11101110110110111111001…
…101100110101110101000000
3122012221111222002010020222010
4131312313321230311311000
5114202423012423002313
61143140531044212520
736442065616033632
oct3566677154656500
9565844862106863
10131314224422208
1138928060371353
12128896b009a140
135836b556169a9
14245d8dc95ca52
15102abb71824c3
hex776df9b35d40

131314224422208 has 56 divisors (see below), whose sum is σ = 347455271490912. Its totient is φ = 43768923810304.

The previous prime is 131314224422203. The next prime is 131314224422209. The reversal of 131314224422208 is 802224422413131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131314224422203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16015635 + ... + 22784402.

Almost surely, 2131314224422208 is an apocalyptic number.

It is an amenable number.

131314224422208 is an abundant number, since it is smaller than the sum of its proper divisors (216141047068704).

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

131314224422208 is a wasteful number, since it uses less digits than its factorization.

131314224422208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38817679 (or 38817669 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

Adding to 131314224422208 its reverse (802224422413131), we get a palindrome (933538646835339).

The spelling of 131314224422208 in words is "one hundred thirty-one trillion, three hundred fourteen billion, two hundred twenty-four million, four hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 17627 35254 52881 70508 105762 141016 211524 282032 423048 564064 846096 1128128 1692192 3384384 38800037 77600074 116400111 155200148 232800222 310400296 465600444 620800592 931200888 1241601184 1862401776 2483202368 3724803552 7449607104 683928252199 1367856504398 2051784756597 2735713008796 4103569513194 5471426017592 8207139026388 10942852035184 16414278052776 21885704070368 32828556105552 43771408140736 65657112211104 131314224422208