Search a number
-
+
114011424310224 = 2437547620328547
BaseRepresentation
bin11001111011000101011010…
…011100100100001111010000
3112221200101102012002120111010
4121323011122130210033100
5104420430344110411344
61042252043020250520
733005024243540610
oct3173053234441720
9487611365076433
10114011424310224
1133366a7882a161
12109542173a0a40
134b80300b9806c
14202227a642a40
15d2aa736238b9
hex67b15a7243d0

114011424310224 has 80 divisors (see below), whose sum is σ = 337220523949568. Its totient is φ = 32515141067136.

The previous prime is 114011424310219. The next prime is 114011424310237. The reversal of 114011424310224 is 422013424110411.

It is a junction number, because it is equal to n+sod(n) for n = 114011424310191 and 114011424310200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309980482 + ... + 310348065.

Almost surely, 2114011424310224 is an apocalyptic number.

114011424310224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114011424310224 is an abundant number, since it is smaller than the sum of its proper divisors (223209099639344).

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

114011424310224 is a wasteful number, since it uses less digits than its factorization.

114011424310224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620329112 (or 620329106 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 114011424310224 its reverse (422013424110411), we get a palindrome (536024848420635).

The spelling of 114011424310224 in words is "one hundred fourteen trillion, eleven billion, four hundred twenty-four million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 547 1094 1641 2188 3282 3829 4376 6564 7658 8752 11487 13128 15316 22974 26256 30632 45948 61264 91896 183792 620328547 1240657094 1860985641 2481314188 3721971282 4342299829 4962628376 7443942564 8684599658 9925256752 13026899487 14887885128 17369199316 26053798974 29775770256 34738398632 52107597948 69476797264 104215195896 208430391792 339319715209 678639430418 1017959145627 1357278860836 2035918291254 2375238006463 2714557721672 4071836582508 4750476012926 5429115443344 7125714019389 8143673165016 9500952025852 14251428038778 16287346330032 19001904051704 28502856077556 38003808103408 57005712155112 114011424310224