Search a number
-
+
144204144121020 = 223510957219348581
BaseRepresentation
bin100000110010011100100100…
…110010010001010010111100
3200220120210002202010002100110
4200302130210302101102330
5122400120041343333040
61230410245210030020
742242256056505534
oct4062344462212274
9626523082102313
10144204144121020
1141a476a7a64515
121420b890118310
13626051426a9c9
142787736c5a4c4
1511a113265d980
hex832724c914bc

144204144121020 has 48 divisors (see below), whose sum is σ = 403808455941408. Its totient is φ = 38450928679680.

The previous prime is 144204144121007. The next prime is 144204144121031. The reversal of 144204144121020 is 20121441402441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109016871 + ... + 110331710.

It is an arithmetic number, because the mean of its divisors is an integer number (8412676165446).

Almost surely, 2144204144121020 is an apocalyptic number.

144204144121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144204144121020 is an abundant number, since it is smaller than the sum of its proper divisors (259604311820388).

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

144204144121020 is a wasteful number, since it uses less digits than its factorization.

144204144121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219359550 (or 219359548 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 144204144121020 its reverse (20121441402441), we get a palindrome (164325585523461).

The spelling of 144204144121020 in words is "one hundred forty-four trillion, two hundred four billion, one hundred forty-four million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 10957 21914 32871 43828 54785 65742 109570 131484 164355 219140 328710 657420 219348581 438697162 658045743 877394324 1096742905 1316091486 2193485810 2632182972 3290228715 4386971620 6580457430 13160914860 2403402402017 4806804804034 7210207206051 9613609608068 12017012010085 14420414412102 24034024020170 28840828824204 36051036030255 48068048040340 72102072060510 144204144121020