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444142310414142 = 23315774138408811
BaseRepresentation
bin110010011111100011111000…
…0101001000101011100111110
32011020120120221021000220111210
41210333013300221011130332
5431203311422431223032
64212340054411225250
7162360136330406004
oct14477076051053476
92136516837026453
10444142310414142
1111957677250a84a
1241991909148226
13160a9595053292
147b96861470a74
1536532627a42cc
hex193f1f0a4573e

444142310414142 has 32 divisors (see below), whose sum is σ = 918528112641024. Its totient is φ = 143023408473600.

The previous prime is 444142310414119. The next prime is 444142310414149. The reversal of 444142310414142 is 241414013241444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444142310414142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444142310414149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2069097084 + ... + 2069311727.

It is an arithmetic number, because the mean of its divisors is an integer number (28704003520032).

Almost surely, 2444142310414142 is an apocalyptic number.

444142310414142 is an abundant number, since it is smaller than the sum of its proper divisors (474385802226882).

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

444142310414142 is a wasteful number, since it uses less digits than its factorization.

444142310414142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138409424.

The product of its (nonzero) digits is 196608, while the sum is 39.

Adding to 444142310414142 its reverse (241414013241444), we get a palindrome (685556323655586).

The spelling of 444142310414142 in words is "four hundred forty-four trillion, one hundred forty-two billion, three hundred ten million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 31 62 93 186 577 1154 1731 3462 17887 35774 53661 107322 4138408811 8276817622 12415226433 24830452866 128290673141 256581346282 384872019423 769744038846 2387861883947 4775723767894 7163585651841 14327171303682 74023718402357 148047436804714 222071155207071 444142310414142