Search a number
-
+
340220132241444 = 223371334617433073
BaseRepresentation
bin100110101011011011010110…
…0001000001011000000100100
31122121121201121222112010002000
41031112312230020023000210
5324043131312323211234
63203330545430245300
7131443044015652230
oct11526665410130044
91577551558463060
10340220132241444
119944a603147764
12321a8b35ab6830
13117ab80bbb8140
146002a56a9d5c0
15294ed8e18d899
hex1356dac20b024

340220132241444 has 96 divisors (see below), whose sum is σ = 1085602701200640. Its totient is φ = 89728386522624.

The previous prime is 340220132241401. The next prime is 340220132241481. The reversal of 340220132241444 is 444142231022043.

340220132241444 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 201 + 3 + 2 + 2 + 4 + 1 + 444 = 666.

It is a super-2 number, since 2×3402201322414442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340220132241399 and 340220132241408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17308706709 + ... + 17308726364.

It is an arithmetic number, because the mean of its divisors is an integer number (11308361470840).

Almost surely, 2340220132241444 is an apocalyptic number.

It is an amenable number.

340220132241444 is an abundant number, since it is smaller than the sum of its proper divisors (745382568959196).

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

340220132241444 is a wasteful number, since it uses less digits than its factorization.

340220132241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34617433106 (or 34617433098 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 340220132241444 its reverse (444142231022043), we get a palindrome (784362363263487).

The spelling of 340220132241444 in words is "three hundred forty trillion, two hundred twenty billion, one hundred thirty-two million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 34617433073 69234866146 103852299219 138469732292 207704598438 242322031511 311556897657 415409196876 450026629949 484644063022 623113795314 726966094533 900053259898 934670692971 969288126044 1246227590628 1350079889847 1453932189066 1800106519796 1869341385942 2180898283599 2700159779694 2907864378132 3150186409643 3738682771884 4050239669541 4361796567198 5400319559388 6300372819286 6542694850797 8100479339082 8723593134396 9450559228929 12150719008623 12600745638572 13085389701594 16200958678164 18901118457858 24301438017246 26170779403188 28351677686787 37802236915716 48602876034492 56703355373574 85055033060361 113406710747148 170110066120722 340220132241444