Search a number
-
+
114414420780781 = 11223154181266647
BaseRepresentation
bin11010000000111100101110…
…111010000110011011101101
3120000002220121201001102022221
4122000330232322012123231
5104444031213204441111
61043201132001235341
733046112002164442
oct3200745672063355
9500086551042287
10114414420780781
1133501979831200
12109ba346032b51
134bac3062532b4
14203798a76d9c9
15d362ad115371
hex680f2ee866ed

114414420780781 has 24 divisors (see below), whose sum is σ = 131230531619712. Its totient is φ = 99489782277600.

The previous prime is 114414420780763. The next prime is 114414420780809. The reversal of 114414420780781 is 187087024414411.

It is not a de Polignac number, because 114414420780781 - 233 = 114405830846189 is a prime.

It is a super-2 number, since 2×1144144207807812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114414420780721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428952400 + ... + 429219046.

It is an arithmetic number, because the mean of its divisors is an integer number (5467938817488).

Almost surely, 2114414420780781 is an apocalyptic number.

114414420780781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114414420780781 is a deficient number, since it is larger than the sum of its proper divisors (16816110838931).

114414420780781 is a wasteful number, since it uses less digits than its factorization.

114414420780781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420873 (or 420862 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 52.

The spelling of 114414420780781 in words is "one hundred fourteen trillion, four hundred fourteen billion, four hundred twenty million, seven hundred eighty thousand, seven hundred eighty-one".

Divisors: 1 11 23 121 253 2783 154181 266647 1695991 2933117 3546163 6132881 18655901 32264287 39007793 67461691 429085723 742078601 41111901107 452230912177 945573725461 4974540033947 10401310980071 114414420780781