Search a number
-
+
31145344354112 = 263182691898447
BaseRepresentation
bin1110001010011100101110…
…01011111100011101000000
311002021110120121011101022112
413011032113023330131000
513040241131123312422
6150123550151354452
76363114444642662
oct705162713743500
9132243517141275
1031145344354112
119a18736a2646a
1235b0214982a28
13144bcbb585a91
1479962ab20532
15390266538ee2
hex1c53972fc740

31145344354112 has 56 divisors (see below), whose sum is σ = 63805470397440. Its totient is φ = 15068497466880.

The previous prime is 31145344354087. The next prime is 31145344354141. The reversal of 31145344354112 is 21145344354113.

It is a self number, because there is not a number n which added to its sum of digits gives 31145344354112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15456473 + ... + 17354919.

Almost surely, 231145344354112 is an apocalyptic number.

31145344354112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31145344354112 is an abundant number, since it is smaller than the sum of its proper divisors (32660126043328).

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

31145344354112 is a wasteful number, since it uses less digits than its factorization.

31145344354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906759 (or 1906749 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

Subtracting from 31145344354112 its reverse (21145344354113), we obtain a palindrome (9999999999999).

The spelling of 31145344354112 in words is "thirty-one trillion, one hundred forty-five billion, three hundred forty-four million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 8269 16538 33076 66152 132304 256339 264608 512678 529216 1025356 1898447 2050712 3796894 4101424 7593788 8202848 15187576 16405696 30375152 58851857 60750304 117703714 121500608 235407428 470814856 941629712 1883259424 3766518848 15698258243 31396516486 62793032972 125586065944 251172131888 486646005533 502344263776 973292011066 1004688527552 1946584022132 3893168044264 7786336088528 15572672177056 31145344354112