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114344146256 = 2441434053607
BaseRepresentation
bin110101001111101110…
…0010011010101010000
3101221010211200110201212
41222133130103111100
53333134100140011
6124310131515252
711155361130614
oct1523734232520
9357124613655
10114344146256
114454732052a
121a1b1758b28
13aa23505252
14576a11d344
152e9369c08b
hex1a9f713550

114344146256 has 40 divisors (see below), whose sum is σ = 232223095104. Its totient is φ = 54480464640.

The previous prime is 114344146219. The next prime is 114344146387. The reversal of 114344146256 is 652641443411.

It is a super-4 number, since 4×1143441462564 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1998596 + ... + 2055011.

Almost surely, 2114344146256 is an apocalyptic number.

114344146256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114344146256 is an abundant number, since it is smaller than the sum of its proper divisors (117878948848).

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

114344146256 is a wasteful number, since it uses less digits than its factorization.

114344146256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053699 (or 4053693 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

Adding to 114344146256 its reverse (652641443411), we get a palindrome (766985589667).

The spelling of 114344146256 in words is "one hundred fourteen billion, three hundred forty-four million, one hundred forty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 41 43 82 86 164 172 328 344 656 688 1763 3526 7052 14104 28208 4053607 8107214 16214428 32428856 64857712 166197887 174305101 332395774 348610202 664791548 697220404 1329583096 1394440808 2659166192 2788881616 7146509141 14293018282 28586036564 57172073128 114344146256