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181340442157644 = 223272119345518561
BaseRepresentation
bin101001001110110110011100…
…101000110110001001001100
3212210001222101012120110220100
4221032312130220312021030
5142232040211143021034
61441402352110451100
753124262130522400
oct5116663450661114
9783058335513810
10181340442157644
1152865060076090
1218408bab203a90
137a2543a937093
1432accd2139100
1515e7133855099
hexa4ed9ca3624c

181340442157644 has 108 divisors (see below), whose sum is σ = 581702457373128. Its totient is φ = 47101413542400.

The previous prime is 181340442157631. The next prime is 181340442157657. The reversal of 181340442157644 is 446751244043181.

181340442157644 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 4 + 0 + 4 + 4 + 21 + 576 + 44 = 666.

181340442157644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (181340442157631) and next prime (181340442157657).

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 35 ways as a sum of consecutive naturals, for example, 4672739877 + ... + 4672778684.

It is an arithmetic number, because the mean of its divisors is an integer number (5386133864566).

Almost surely, 2181340442157644 is an apocalyptic number.

181340442157644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

181340442157644 is an abundant number, since it is smaller than the sum of its proper divisors (400362015215484).

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

181340442157644 is a wasteful number, since it uses less digits than its factorization.

181340442157644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345518596 (or 9345518584 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 181340442157644 in words is "one hundred eighty-one trillion, three hundred forty billion, four hundred forty-two million, one hundred fifty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 9345518561 18691037122 28036555683 37382074244 56073111366 65418629927 84109667049 102800704171 112146222732 130837259854 168219334098 196255889781 205601408342 261674519708 308402112513 336438668196 392511779562 411202816684 457930409489 588767669343 616804225026 719604929197 785023559124 915860818978 925206337539 1177535338686 1233608450052 1373791228467 1439209858394 1831721637956 1850412675078 2158814787591 2355070677372 2747582456934 2878419716788 3700825350156 4121373685401 4317629575182 5037234504379 5495164913868 6476444362773 8242747370802 8635259150364 10074469008758 12952888725546 15111703513137 16485494741604 20148938017516 25905777451092 30223407026274 45335110539411 60446814052548 90670221078822 181340442157644