Search a number
-
+
144661433820 = 223510323407999
BaseRepresentation
bin1000011010111001111…
…1100100110111011100
3111211101201000020211020
42012232133210313130
54332231311340240
6150242340324140
713310562620241
oct2065637446734
9454351006736
10144661433820
1156394676392
12240529a3650
131084553ba67
14700475b5c8
153b6a09c0d0
hex21ae7e4ddc

144661433820 has 48 divisors (see below), whose sum is σ = 408984576000. Its totient is φ = 38201852736.

The previous prime is 144661433801. The next prime is 144661433837. The reversal of 144661433820 is 28334166441.

It is a happy number.

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, 11697820 + ... + 11710179.

It is an arithmetic number, because the mean of its divisors is an integer number (8520512000).

Almost surely, 2144661433820 is an apocalyptic number.

144661433820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144661433820 is an abundant number, since it is smaller than the sum of its proper divisors (264323142180).

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

144661433820 is a wasteful number, since it uses less digits than its factorization.

144661433820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23408114 (or 23408112 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 144661433820 in words is "one hundred forty-four billion, six hundred sixty-one million, four hundred thirty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 23407999 46815998 70223997 93631996 117039995 140447994 234079990 280895988 351119985 468159980 702239970 1404479940 2411023897 4822047794 7233071691 9644095588 12055119485 14466143382 24110238970 28932286764 36165358455 48220477940 72330716910 144661433820