Search a number
-
+
114240022121140 = 22514975037510889
BaseRepresentation
bin11001111110011010010011…
…111100000000101010110100
3112222111020110120012120112121
4121332122103330000222310
5104433202031130334030
61042545050332525324
733030366150062626
oct3176322374005264
9488436416176477
10114240022121140
1133444a1528aa33
1210990594320844
134b98a31c15336
14202d36484ac16
15d319a254847a
hex67e693f00ab4

114240022121140 has 48 divisors (see below), whose sum is σ = 241517832066000. Its totient is φ = 45388630490112.

The previous prime is 114240022121089. The next prime is 114240022121209. The reversal of 114240022121140 is 41121220042411.

It can be written as a sum of positive squares in 8 ways, for example, as 38919181698576 + 75320840422564 = 6238524^2 + 8678758^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223354816 + ... + 223865704.

It is an arithmetic number, because the mean of its divisors is an integer number (5031621501375).

Almost surely, 2114240022121140 is an apocalyptic number.

114240022121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114240022121140 is an abundant number, since it is smaller than the sum of its proper divisors (127277809944860).

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

114240022121140 is a wasteful number, since it uses less digits than its factorization.

114240022121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586084 (or 586082 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 114240022121140 its reverse (41121220042411), we get a palindrome (155361242163551).

The spelling of 114240022121140 in words is "one hundred fourteen trillion, two hundred forty billion, twenty-two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 75037 150074 300148 375185 510889 750370 1021778 1500740 2043556 2554445 5108890 10217780 11180513 22361026 44722052 55902565 76122461 111805130 152244922 223610260 304489844 380612305 761224610 1522449220 38335577893 76671155786 153342311572 191677889465 383355778930 766711557860 5712001106057 11424002212114 22848004424228 28560005530285 57120011060570 114240022121140