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114011212444344 = 233249925311253783
BaseRepresentation
bin11001111011000101001101…
…110100010111001010111000
3112221200100212102102200010200
4121323011031310113022320
5104420424430341204334
61042252010011242200
733005016061653045
oct3173051564271270
9487610772380120
10114011212444344
113336697a182196
1210954178449360
134b80299017b37
14202225a4521cc
15d2aa5ec23799
hex67b14dd172b8

114011212444344 has 96 divisors (see below), whose sum is σ = 309521656080000. Its totient is φ = 37912562233920.

The previous prime is 114011212444253. The next prime is 114011212444351. The reversal of 114011212444344 is 443444212110411.

114011212444344 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 1 + 212 + 4 + 4 + 434 + 4 = 666.

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 = 114011212444299 and 114011212444308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90306877 + ... + 91560659.

It is an arithmetic number, because the mean of its divisors is an integer number (3224183917500).

Almost surely, 2114011212444344 is an apocalyptic number.

It is an amenable number.

114011212444344 is an abundant number, since it is smaller than the sum of its proper divisors (195510443635656).

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

114011212444344 is a wasteful number, since it uses less digits than its factorization.

114011212444344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256825 (or 1256818 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 114011212444344 its reverse (443444212110411), we get a palindrome (557455424554755).

The spelling of 114011212444344 in words is "one hundred fourteen trillion, eleven billion, two hundred twelve million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 499 998 1497 1996 2531 2994 3992 4491 5062 5988 7593 8982 10124 11976 15186 17964 20248 22779 30372 35928 45558 60744 91116 182232 1253783 1262969 2507566 2525938 3761349 3788907 5015132 5051876 7522698 7577814 10030264 10103752 11284047 11366721 15045396 15155628 22568094 22733442 30090792 30311256 45136188 45466884 90272376 90933768 625637717 1251275434 1876913151 2502550868 3173324773 3753826302 5005101736 5630739453 6346649546 7507652604 9519974319 11261478906 12693299092 15015305208 19039948638 22522957812 25386598184 28559922957 38079897276 45045915624 57119845914 76159794552 114239691828 228479383656 1583489061727 3166978123454 4750467185181 6333956246908 9500934370362 12667912493816 14251401555543 19001868740724 28502803111086 38003737481448 57005606222172 114011212444344