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144442220401400 = 23524117614904927
BaseRepresentation
bin100000110101111010010011…
…001111001101001011111000
3200221102112121200122020010112
4200311322103033031023320
5122413020131410321100
61231111501235003452
742265414605503405
oct4065722317151370
9627375550566115
10144442220401400
11420296688a7729
1214249a53439588
136279ac5c223ac
14279507dc292ac
1511a7418773b35
hex835e933cd2f8

144442220401400 has 48 divisors (see below), whose sum is σ = 344019093243840. Its totient is φ = 56367695763200.

The previous prime is 144442220401399. The next prime is 144442220401417. The reversal of 144442220401400 is 4104022244441.

It is a super-2 number, since 2×1444422204014002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8807444264 + ... + 8807460663.

It is an arithmetic number, because the mean of its divisors is an integer number (7167064442580).

Almost surely, 2144442220401400 is an apocalyptic number.

144442220401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442220401400 is an abundant number, since it is smaller than the sum of its proper divisors (199576872842440).

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

144442220401400 is a wasteful number, since it uses less digits than its factorization.

144442220401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17614904984 (or 17614904975 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 144442220401400 its reverse (4104022244441), we get a palindrome (148546242645841).

The spelling of 144442220401400 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 17614904927 35229809854 70459619708 88074524635 140919239416 176149049270 352298098540 440372623175 704596197080 722211102007 880745246350 1444422204014 1761490492700 2888844408028 3522980985400 3611055510035 5777688816056 7222111020070 14444222040140 18055277550175 28888444080280 36110555100350 72221110200700 144442220401400