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2445142331104 = 251138331812269
BaseRepresentation
bin100011100101001101110…
…101110000111011100000
322122202100011200020120221
4203211031311300323200
5310030122414043404
65111141034012424
7341440622613604
oct43451565607340
98582304606527
102445142331104
11862a85112740
12335a75277114
13149764428c25
14864ba171504
154390ca7b954
hex2394dd70ee0

2445142331104 has 48 divisors (see below), whose sum is σ = 5252871844080. Its totient is φ = 1111137756160.

The previous prime is 2445142331089. The next prime is 2445142331123. The reversal of 2445142331104 is 4011332415442.

2445142331104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2445142331104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443082 + ... + 2255350.

It is an arithmetic number, because the mean of its divisors is an integer number (109434830085).

Almost surely, 22445142331104 is an apocalyptic number.

It is an amenable number.

2445142331104 is an abundant number, since it is smaller than the sum of its proper divisors (2807729512976).

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

2445142331104 is a wasteful number, since it uses less digits than its factorization.

2445142331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816123 (or 1816115 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 2445142331104 its reverse (4011332415442), we get a palindrome (6456474746546).

The spelling of 2445142331104 in words is "two trillion, four hundred forty-five billion, one hundred forty-two million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 3833 7666 15332 30664 42163 61328 84326 122656 168652 337304 674608 1349216 1812269 3624538 7249076 14498152 19934959 28996304 39869918 57992608 79739836 159479672 318959344 637918688 6946427077 13892854154 27785708308 55571416616 76410697847 111142833232 152821395694 222285666464 305642791388 611285582776 1222571165552 2445142331104