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342233000332244 = 227210140994217611
BaseRepresentation
bin100110111010000100101010…
…0011010100100101111010100
31122212202011012012221201002122
41031310021110122210233110
5324324121141041112434
63211511400411155112
7132041342533303100
oct11564112432445724
91585664165851078
10342233000332244
119a05622276762a
123247306b445a98
13118c65833b7708
14607224657c900
1529873ebc13c2e
hex13742546a4bd4

342233000332244 has 72 divisors (see below), whose sum is σ = 703758330021600. Its totient is φ = 145183632552000.

The previous prime is 342233000332243. The next prime is 342233000332259. The reversal of 342233000332244 is 442233000332243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342233000332243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79034999 + ... + 83252609.

It is an arithmetic number, because the mean of its divisors is an integer number (9774421250300).

Almost surely, 2342233000332244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342233000332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351879165010800).

342233000332244 is an abundant number, since it is smaller than the sum of its proper divisors (361525329689356).

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

342233000332244 is a wasteful number, since it uses less digits than its factorization.

342233000332244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221829 (or 4221820 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 342233000332244 its reverse (442233000332243), we get a palindrome (784466000664487).

Subtracting 342233000332244 from its reverse (442233000332243), we obtain a palindrome (99999999999999).

The spelling of 342233000332244 in words is "three hundred forty-two trillion, two hundred thirty-three billion, three hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2828 4099 4949 8198 9898 16396 19796 28693 57386 114772 200851 401702 413999 803404 827998 1655996 2897993 4217611 5795986 8435222 11591972 16870444 20285951 29523277 40571902 59046554 81143804 118093108 206662939 413325878 425978711 826651756 851957422 1703914844 2981850977 5963701954 11927403908 17287987489 20872956839 34575974978 41745913678 69151949956 83491827356 121015912423 242031824846 484063649692 847111386961 1694222773922 1746086736389 3388445547844 3492173472778 6984346945556 12222607154723 24445214309446 48890428618892 85558250083061 171116500166122 342233000332244