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144322341403300 = 225210129348769081
BaseRepresentation
bin100000110100001010101001…
…111001000111101010100100
3200221000002012010011011000221
4200310022221321013222210
5122404034123344401200
61230540433544014124
742253642106024254
oct4064125171075244
9627002163134027
10144322341403300
1141a92841279085
121422a778161344
13626b6ccb22ca8
14278d34a9bd964
1511a424e22091a
hex8342a9e47aa4

144322341403300 has 72 divisors (see below), whose sum is σ = 317359729130472. Its totient is φ = 56962285440000.

The previous prime is 144322341403291. The next prime is 144322341403319. The reversal of 144322341403300 is 3304143223441.

It can be written as a sum of positive squares in 12 ways, for example, as 263727439936 + 144058613963364 = 513544^2 + 12002442^2 .

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, 21425241 + ... + 27343840.

It is an arithmetic number, because the mean of its divisors is an integer number (4407774015701).

Almost surely, 2144322341403300 is an apocalyptic number.

144322341403300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144322341403300 is an abundant number, since it is smaller than the sum of its proper divisors (173037387727172).

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

144322341403300 is a wasteful number, since it uses less digits than its factorization.

144322341403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48769489 (or 48769482 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 144322341403300 its reverse (3304143223441), we get a palindrome (147626484626741).

The spelling of 144322341403300 in words is "one hundred forty-four trillion, three hundred twenty-two billion, three hundred forty-one million, four hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 293 404 505 586 1010 1172 1465 2020 2525 2930 5050 5860 7325 10100 14650 29300 29593 59186 118372 147965 295930 591860 739825 1479650 2959300 48769081 97538162 195076324 243845405 487690810 975381620 1219227025 2438454050 4876908100 4925677181 9851354362 14289340733 19702708724 24628385905 28578681466 49256771810 57157362932 71446703665 98513543620 123141929525 142893407330 246283859050 285786814660 357233518325 492567718100 714467036650 1428934073300 1443223414033 2886446828066 5772893656132 7216117070165 14432234140330 28864468280660 36080585350825 72161170701650 144322341403300