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144641341746 = 232112925190063
BaseRepresentation
bin1000011010110101001…
…0111011100100110010
3111211100022012110200100
42012231102323210302
54332211140413441
6150240341533230
713310230055616
oct2065522734462
9454308173610
10144641341746
11563842a2970
1224048114216
1310841325765
147001c0b346
153b6842dcb6
hex21ad4bb932

144641341746 has 48 divisors (see below), whose sum is σ = 353668498560. Its totient is φ = 42319304160.

The previous prime is 144641341721. The next prime is 144641341753. The reversal of 144641341746 is 647143146441.

144641341746 is a `hidden beast` number, since 1 + 4 + 464 + 13 + 4 + 174 + 6 = 666.

144641341746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1446413417462 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12589290 + ... + 12600773.

It is an arithmetic number, because the mean of its divisors is an integer number (7368093720).

Almost surely, 2144641341746 is an apocalyptic number.

144641341746 is an abundant number, since it is smaller than the sum of its proper divisors (209027156814).

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

144641341746 is a wasteful number, since it uses less digits than its factorization.

144641341746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25190111 (or 25190108 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 144641341746 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-one thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 25190063 50380126 75570189 151140378 226710567 277090693 453421134 554181386 730511827 831272079 1461023654 1662544158 2191535481 2493816237 4383070962 4987632474 6574606443 8035630097 13149212886 16071260194 24106890291 48213780582 72320670873 144641341746