Search a number
-
+
114431010410332 = 227211471129268251
BaseRepresentation
bin11010000001001100001011…
…101110100000111101011100
3120000011111102212100220211001
4122001030023232200331130
5104444314202131112312
61043212514102440044
733050240053542400
oct3201141356407534
9500144385326731
10114431010410332
1133508a12191450
1210a015b5a33024
134bb0a4b213a45
1420386c1b49100
15d3692e77b057
hex68130bba0f5c

114431010410332 has 72 divisors (see below), whose sum is σ = 259532946747648. Its totient is φ = 43634925180000.

The previous prime is 114431010410309. The next prime is 114431010410369. The reversal of 114431010410332 is 233014010134411.

It is a super-2 number, since 2×1144310104103322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 114431010410332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564532794 + ... + 564735457.

It is an arithmetic number, because the mean of its divisors is an integer number (3604624260384).

Almost surely, 2114431010410332 is an apocalyptic number.

It is an amenable number.

114431010410332 is an abundant number, since it is smaller than the sum of its proper divisors (145101936337316).

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

114431010410332 is a wasteful number, since it uses less digits than its factorization.

114431010410332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129268327 (or 1129268318 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 114431010410332 its reverse (233014010134411), we get a palindrome (347445020544743).

The spelling of 114431010410332 in words is "one hundred fourteen trillion, four hundred thirty-one billion, ten million, four hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 77 94 98 154 188 196 308 329 517 539 658 1034 1078 1316 2068 2156 2303 3619 4606 7238 9212 14476 25333 50666 101332 1129268251 2258536502 4517073004 7904877757 12421950761 15809755514 24843901522 31619511028 49687803044 53075607797 55334144299 86953655327 106151215594 110668288598 173907310654 212302431188 221336577196 347814621308 371529254579 583831685767 608675587289 743058509158 1167663371534 1217351174578 1486117018316 2335326743068 2434702349156 2600704782053 4086821800369 5201409564106 8173643600738 10402819128212 16347287201476 28607752602583 57215505205166 114431010410332